{
  "schema_version": 1,
  "producer": "concept-view-1",
  "concept_ids": [
    "urn:uuid:0009d7dc-5f4f-4928-a8cc-fa12def8161c",
    "urn:uuid:004c393d-b3c2-4027-957a-d8cea3b92491",
    "urn:uuid:008abe3e-4b89-4b4f-9096-b685aa35da43",
    "urn:uuid:009d7313-1b0f-44a9-b25f-fa3b3005458d",
    "urn:uuid:00d268ec-05fa-4942-85d1-a3faa750cee7",
    "urn:uuid:013665e1-3304-480f-81d6-f8f99a56381e",
    "urn:uuid:01ba5fba-f97d-4088-b58f-f176a5eaa6ce",
    "urn:uuid:01dc6c65-7574-49f1-9a55-20c52d99f5f7",
    "urn:uuid:01ff489c-58d1-4d75-87b2-d1cd999d36bd",
    "urn:uuid:023d3b84-da9a-4667-8674-d5b9ccbed948",
    "urn:uuid:0255717c-bfab-4555-82a5-f56059eba261",
    "urn:uuid:0267f40f-cd9e-43de-8086-9a9f751a68b8",
    "urn:uuid:02b57e3f-b649-49e8-b81d-4fff8a450e33",
    "urn:uuid:02cfe956-6666-4db6-bee4-19ea46011cfe",
    "urn:uuid:02db5117-4ecf-4ac2-9cd8-bf87eb334922",
    "urn:uuid:02f7a498-5c17-4366-9479-8666d5f9bb2e",
    "urn:uuid:036e9782-c5c9-47d4-90c7-f64cdc08cbed",
    "urn:uuid:03d3ce88-0cb0-4510-9333-51e320b269f4",
    "urn:uuid:03eb86c3-86f8-40cb-8e28-d7d053422767",
    "urn:uuid:040e751e-8f47-4e5e-afb7-41c459e5d622",
    "urn:uuid:042328bd-d5e2-4fe7-8a36-2a21890d5e6f",
    "urn:uuid:04adfa20-e5d3-4dd7-910d-d1fc29b4820b",
    "urn:uuid:04c44987-c5e6-455f-8d1e-5c61314c5314",
    "urn:uuid:05169104-3155-481a-ad02-24789d58afd7",
    "urn:uuid:05370b36-295b-4888-ab89-d433d246e4eb",
    "urn:uuid:057330d9-9ff5-427f-a15c-73c814aa8a20",
    "urn:uuid:05c92274-bda7-4225-b24d-846ec64b2dbc",
    "urn:uuid:05d312b4-8c04-40c4-a051-d508a402b79f",
    "urn:uuid:05d69eba-f971-4eda-9264-d2a2b9cb71b1",
    "urn:uuid:05f42bf3-d38b-49e0-bed7-1d0452d9ac3d",
    "urn:uuid:065a4491-0bf8-406c-8c15-8091c5689490",
    "urn:uuid:06fabb9a-f268-4d2b-8732-263ac9213a4d",
    "urn:uuid:078de077-8b79-46b3-8955-b2642c83034f",
    "urn:uuid:0794f89e-ba01-4e3a-843d-85c9ef760fd4",
    "urn:uuid:07b47fe2-da51-4781-9b26-57197986cbf7",
    "urn:uuid:07fed5dc-6aa1-4ef6-a20a-58fa52a971f7",
    "urn:uuid:0809d0aa-e86c-401e-a94a-b029224f7535",
    "urn:uuid:084c39fe-d9c8-4937-9eca-f4baca436916",
    "urn:uuid:0851ac8c-a0a1-496c-8033-9592bf23ad8c",
    "urn:uuid:087cfd6b-1fc8-40c8-aaf7-ce2bfb1f24bf",
    "urn:uuid:08c2620a-3da7-4383-ba7c-e217b3d97685",
    "urn:uuid:08d376ac-f1ed-48fd-b44d-f1fd161e5431",
    "urn:uuid:092b1d87-e948-49ed-b814-4d97167d0db4",
    "urn:uuid:09554153-3c86-4e74-bed8-77f8ade887be",
    "urn:uuid:098437c0-f74c-41ec-82b2-7cdffbbe6feb",
    "urn:uuid:09932e00-f8f2-44fe-9842-4c9fe5aa15dd",
    "urn:uuid:09ac0761-d818-449e-99c7-82395e89dbeb",
    "urn:uuid:09b09776-2ccb-431b-b988-a10df4323428",
    "urn:uuid:0a11fd94-c905-4961-b844-391fb60ef19f",
    "urn:uuid:0af8418c-bf2a-4a4f-9b66-1dc813c55557",
    "urn:uuid:0b12bccf-e600-4e8b-8f23-c741396d237f",
    "urn:uuid:0b6ae429-3502-4988-a9be-fb41373ed628",
    "urn:uuid:0b8e66a2-7e78-4510-8c4c-61afabaae089",
    "urn:uuid:0bdd838b-0d49-44e7-8d2c-0f932b9b6db5",
    "urn:uuid:0bec019e-a424-4b09-b588-ac9e80189f9b",
    "urn:uuid:0bec1410-0ea3-4aa7-a217-f21c439ebd4a",
    "urn:uuid:0c15fecc-5d6e-48bc-9312-d07a837d2de9",
    "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
    "urn:uuid:0c4ac77c-7bcc-4bfd-b1f8-352a07b796a8",
    "urn:uuid:0c5d8ec6-fa25-4c54-a29c-8c236fd5327f",
    "urn:uuid:0c8937be-5b52-431f-a556-31c2c5f610f0",
    "urn:uuid:0cd6ae01-9496-4b3f-b107-1404b29acdb4",
    "urn:uuid:0d343b9b-e689-498e-ae9b-3760b06ca3c1",
    "urn:uuid:0d3a1f8c-f2c8-418d-ab0f-9dc587e42313",
    "urn:uuid:0d9aff98-9f23-43f1-bc7b-b6bef79e2962",
    "urn:uuid:0dec91e9-170a-4043-84b7-74ce4d1ab250",
    "urn:uuid:0e089f2b-e34d-4704-b872-f7d22b1e323f",
    "urn:uuid:0e0a5217-4c69-4190-ab6a-89df2645a4ff",
    "urn:uuid:0e19be62-7905-43d9-ada6-eec68787c24a",
    "urn:uuid:0e2b3187-27c9-43e4-998b-30db8c236b8a",
    "urn:uuid:0e2d5395-c9d1-498d-8e23-b70a76943307",
    "urn:uuid:0e4afba4-5ba4-439a-b77b-cd49f88c44f3",
    "urn:uuid:0e844881-34ba-4782-be6c-b34f2c93a208",
    "urn:uuid:0ee9d2e9-d61c-4c92-90bc-0c305f648a98",
    "urn:uuid:0effb2c1-c32e-4d63-80be-762ba1393f3b",
    "urn:uuid:0f3e2bdd-02cb-43d0-b1da-3a225197856f",
    "urn:uuid:0f98d8d9-386f-44fc-b786-2c81bdb50d6e",
    "urn:uuid:0faa133b-6cda-4cf8-a159-9cf3987a7652",
    "urn:uuid:0fbe108b-1f27-4fb8-83b1-605f2050e9a7",
    "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
    "urn:uuid:1015d31e-07e0-47cf-8a6d-4020f4408a3f",
    "urn:uuid:10861f1d-f72d-4e92-808c-bba46d7cd49c",
    "urn:uuid:10ef9d40-5020-4092-b70f-6d91f54ca82c",
    "urn:uuid:110a004a-8beb-4140-bb65-e3894be9875d",
    "urn:uuid:114ca9e4-e0ac-482e-9731-3186bbc7dbfa",
    "urn:uuid:11c7fa5b-d5f8-40eb-ae0b-7e37ff4bebb1",
    "urn:uuid:11dadb93-ef2f-42cf-8af0-06fe4fd7b18f",
    "urn:uuid:1212910c-fd6e-468e-8315-db95c69ef22e",
    "urn:uuid:125009af-e084-4c92-b27e-de031a9fa1fb",
    "urn:uuid:126c82d1-85b0-4175-af2f-9d01a27e0e2e",
    "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
    "urn:uuid:128dd2b3-9341-4ec8-80d7-756b3c868174",
    "urn:uuid:132c84d0-902e-4ab2-91b9-d41dd49e754c",
    "urn:uuid:1343270b-b407-4d8c-bb65-0292de19ed56",
    "urn:uuid:135f90bc-5ac6-4fc2-a4f1-8642700ae19a",
    "urn:uuid:13e70843-34ca-4e4e-9bc3-d336dbb4c734",
    "urn:uuid:13eb108a-e792-47e5-999f-e7000f71deee",
    "urn:uuid:1435ed7d-50c4-4a83-adfe-50f270d61d40",
    "urn:uuid:1438172c-4529-4171-9338-e797f954f1fb",
    "urn:uuid:14428911-958a-420b-b2c4-d079f505c8b7",
    "urn:uuid:14623694-1df3-4e83-a965-41f9ba35cef2",
    "urn:uuid:148db081-5c2b-45dd-af71-83e4ce4fdcc0",
    "urn:uuid:14a17663-a83c-4229-aa36-585971c3f84f",
    "urn:uuid:14b2f149-bd42-4f49-b8b9-6bcd538c6992",
    "urn:uuid:14cdbba0-4af8-4d23-a2a9-3cfb5c0ad747",
    "urn:uuid:14f530a7-cae3-4199-a129-754aeece7b1f",
    "urn:uuid:1510ce98-1ea2-4c9a-8847-10f4ea3df1e4",
    "urn:uuid:151179b3-1206-4b6c-a3b9-d229f1f77314",
    "urn:uuid:155c515c-5253-4cbe-8a74-5cac6da78138",
    "urn:uuid:156a1541-7be0-497b-99b7-df1db1262250",
    "urn:uuid:159b1327-9fd5-45ae-8358-8a668636d673",
    "urn:uuid:15b28761-a301-4d39-b113-7b1f58d08987",
    "urn:uuid:15b77a32-b796-4d9e-9b2a-b42524bbd897",
    "urn:uuid:15bc6cfe-c68f-43af-aed8-4b5136e30628",
    "urn:uuid:16292e18-9c89-4c3a-b3b4-104cec97244e",
    "urn:uuid:168b04d1-9b02-428a-b637-0ce8914e7384",
    "urn:uuid:16a93206-68c6-4611-a639-0f12fe231a59",
    "urn:uuid:16df3086-ee73-47de-8a9c-e0a17709c146",
    "urn:uuid:16e15429-a004-4dab-a343-1d520139d5ff",
    "urn:uuid:16fe5129-802f-4513-bc1c-e3aba06cdc0a",
    "urn:uuid:1717a8e7-a0ea-44a0-bc1a-cd3aacaac36d",
    "urn:uuid:17282fd6-0595-40df-a266-9ec044b18a12",
    "urn:uuid:173248e5-fde2-41cb-a2da-8c6ae8ce612c",
    "urn:uuid:17c9f610-9860-4c29-9004-115ae6174af4",
    "urn:uuid:17cee705-a2d5-4453-8b19-52af4f65fd59",
    "urn:uuid:17eeb36d-36ff-4715-8dd6-5eca459daf1e",
    "urn:uuid:184255fe-e4dd-40ca-a6b9-ec43b3eb54f1",
    "urn:uuid:19388d06-7557-4098-b606-17bd8ea7fcae",
    "urn:uuid:197008e2-3d14-48ff-ade5-a7008b2596cf",
    "urn:uuid:1975f833-3088-44ad-97dd-6f1f7cf97583",
    "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
    "urn:uuid:19d0d910-333a-4359-9edf-c6a555de1f6d",
    "urn:uuid:1a0a5e0c-3f3c-401a-baab-d7dd7829326b",
    "urn:uuid:1a15b2f0-5129-43ae-a79b-291a51fb196e",
    "urn:uuid:1a675aab-c7ae-434f-b33d-dbac51890000",
    "urn:uuid:1a927244-c87d-49c1-9cbe-ea6d8ae7c2d6",
    "urn:uuid:1ad68c54-876c-4290-88be-64552e9af83e",
    "urn:uuid:1ad7f304-3bf4-48cb-a56f-44b509bd7bd7",
    "urn:uuid:1ae3cb73-f44a-4483-b175-f7481d779ac8",
    "urn:uuid:1afbc47e-4026-42fb-a8c1-d2b6a02638c4",
    "urn:uuid:1b151f83-697f-43f4-b6a1-aa3dfd976f64",
    "urn:uuid:1b370f94-adf5-40b2-8a15-70d09940d393",
    "urn:uuid:1bb86a2d-02e3-4010-a168-8df5d51e88e1",
    "urn:uuid:1bc09023-d978-4710-a687-1c826fbdf172",
    "urn:uuid:1c7f22da-eed4-4732-89e8-1921feebfcf0",
    "urn:uuid:1c8384ff-2641-4168-ba63-d81a2dffcea1",
    "urn:uuid:1d84079a-778c-4a1c-bd5d-6518d57af2b6",
    "urn:uuid:1e3de021-b956-44d2-baf0-fb310e41bc05",
    "urn:uuid:1eb6bc94-07d7-48f3-b03b-60b1c2dbb415",
    "urn:uuid:1ebf8613-2556-44a4-854a-86128769ba52",
    "urn:uuid:1ee2a9ac-e285-44ea-b156-a143a1875246",
    "urn:uuid:1eff654d-4586-46ff-b65d-12fcb385b4ae",
    "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786",
    "urn:uuid:1f30c262-f238-4dfd-acec-55532f758890",
    "urn:uuid:1f605ba7-d55c-4c45-aa84-5df7c7af88e2",
    "urn:uuid:1f8aca83-3403-4584-b621-eed33886f812",
    "urn:uuid:2061e90b-c48d-463e-8b85-b8e1c592f56f",
    "urn:uuid:20808338-dff0-4dc9-affd-ba73b8240dae",
    "urn:uuid:20ad21a3-f998-4cb6-8041-7cd13c0d1119",
    "urn:uuid:20de28a4-da1e-4c03-9e2c-3e13cb0ba553",
    "urn:uuid:2114b0de-b7cd-4083-b0b5-884f1b96c3e0",
    "urn:uuid:211557f7-a3f5-49e5-945e-06820fdf4de7",
    "urn:uuid:2166279d-867c-45ec-836c-c0d714e0668e",
    "urn:uuid:217fa41e-b347-4210-af2d-3fbb37069123",
    "urn:uuid:219d8d9a-81e0-4039-91d1-3c87115ef4fa",
    "urn:uuid:219d9a3a-91e9-494e-a7b3-9e7b8ac0a94a",
    "urn:uuid:21a7ab40-1a23-4f76-b330-509920b3fbea",
    "urn:uuid:21e2f216-3071-48e6-a0ca-2e9c60ed4ab4",
    "urn:uuid:21e4a707-dc48-420c-8294-547e3a049005",
    "urn:uuid:22099e8e-a506-43d9-bc9d-a814a0190816",
    "urn:uuid:224e68d3-89ec-4082-94fa-986f333f6ac4",
    "urn:uuid:22bbf2c3-ffe3-4147-9f96-96908e85df9a",
    "urn:uuid:22c1f4e6-3a65-4868-8d58-dde99c2cea9a",
    "urn:uuid:22d066f1-dd17-450c-8457-1f856104d052",
    "urn:uuid:2396ddfd-f7f2-4e75-8107-4e0be31adab1",
    "urn:uuid:23af9bd6-7543-4dde-91ca-b4fc9dd181d4",
    "urn:uuid:240a4900-b14c-4484-a71f-870546a4daca",
    "urn:uuid:245d07b1-e2d8-46ce-86c4-13d7dff9755f",
    "urn:uuid:249e0182-e4dd-485a-9d74-9906d1ab1de7",
    "urn:uuid:24c541a9-58f0-4e62-b38e-b7b1496c08ce",
    "urn:uuid:24dc4f81-4498-495a-a55e-63506d0e67b4",
    "urn:uuid:24e2efa3-553e-461a-9117-448a9406db0f",
    "urn:uuid:253d9f09-01fb-4357-9e2c-0221063865de",
    "urn:uuid:26547c8d-dc57-44e4-8871-b9d37cc63e4f",
    "urn:uuid:26ae89e4-05be-4f48-9a53-8ecdb3861cc9",
    "urn:uuid:26cfbcfb-a481-41ee-a74f-cd41f06ecb0f",
    "urn:uuid:26de7693-2eaf-45d5-9d89-9ef22e571302",
    "urn:uuid:2733ca54-c706-432a-b96d-195c3a4e7fb4",
    "urn:uuid:278239da-53dc-45e3-8256-1f7bdcdc9037",
    "urn:uuid:278b7ab5-c1c7-44b6-9b34-05f394a2a1cb",
    "urn:uuid:2796d975-cc82-4cfa-a082-466a4fb5312e",
    "urn:uuid:27cc7d1e-96c7-4375-9829-61dfc96bc2bf",
    "urn:uuid:27e5661f-6553-4188-ae36-895e9a5bbe86",
    "urn:uuid:27f431a1-3297-467d-9e80-14e2140b1c8e",
    "urn:uuid:27f67021-0375-4a5d-9cac-fe0b1732d93d",
    "urn:uuid:27f7027f-1327-4cb7-a562-0f72318ff75c",
    "urn:uuid:280d509b-0425-4ad3-8a7d-aa0b795679ac",
    "urn:uuid:28a435be-ede9-40fc-a9b2-f7175d5b3159",
    "urn:uuid:293da78b-f7a4-4572-b27a-2fe3d41262ce",
    "urn:uuid:295f8e59-9315-4d22-98cc-e13dd1b2f3c8",
    "urn:uuid:29a54469-3dea-4ec4-ac3d-3836313569ec",
    "urn:uuid:29b6091c-063a-4f0d-9eda-a479679da7a2",
    "urn:uuid:29ce5567-7fa2-4197-bafd-711866405ac1",
    "urn:uuid:29e9ae2c-fc05-406f-b27b-8e941535770b",
    "urn:uuid:29ff0c46-457b-4746-9a48-2753ab5bbc85",
    "urn:uuid:2aac3b49-341f-4592-97ad-65a31b630e89",
    "urn:uuid:2acc1cb3-ebc4-4dc0-9fae-65f247a55564",
    "urn:uuid:2aff6b0a-acc1-4f76-b66d-c5efc8920a7c",
    "urn:uuid:2b09d243-b049-45c7-a004-8b1e128ddafd",
    "urn:uuid:2b863af3-ea59-4b11-82de-1ef87468e6d4",
    "urn:uuid:2b8f1e0e-bfcc-4391-ace1-5809a76204e3",
    "urn:uuid:2bac2a32-add3-4717-a57f-9190d1e8fb61",
    "urn:uuid:2bf16f8e-01b1-462f-807c-fde871a89a6f",
    "urn:uuid:2c564b8b-ea23-4822-b010-583fc86fb905",
    "urn:uuid:2c73285d-fc90-4fc2-a12e-b38ad067b02d",
    "urn:uuid:2c8de24d-b302-4e88-9c0f-db37c70e2f7d",
    "urn:uuid:2cc2ae75-e460-4c7d-9b9f-acc867bbc0fb",
    "urn:uuid:2cf3719f-bc6d-437a-96f9-c39c07fde7b9",
    "urn:uuid:2d1c5e15-26a6-4ca8-816a-91461fc9e654",
    "urn:uuid:2d575fbe-b2df-46dc-a490-93876671fcbb",
    "urn:uuid:2d72c1c4-0bf9-45f2-8afb-09fd91d06565",
    "urn:uuid:2e84c121-965c-417d-93ec-e9ac516e3b29",
    "urn:uuid:2e8a69f5-6827-4c61-ad3b-dcc809cf942d",
    "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
    "urn:uuid:2ed710df-ecf3-492f-9156-7475f79446ce",
    "urn:uuid:2f193cba-653a-4154-850a-a379f0081576",
    "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
    "urn:uuid:2f65813e-7535-4165-b134-2c2b474cf7e7",
    "urn:uuid:2f6a696e-9405-429a-a1c7-180a8a780010",
    "urn:uuid:2fe19f0b-4db1-4a5b-b7e1-dd0e6281d9a0",
    "urn:uuid:3035413b-7cca-4017-a6d2-0152295e6e2a",
    "urn:uuid:30471a7b-45c7-4fed-b604-6391300884fa",
    "urn:uuid:3057bc98-1560-4f68-971f-f741195b6499",
    "urn:uuid:316c2c4b-6cd0-4631-add0-0a3dbbd743fd",
    "urn:uuid:31e7202c-8861-477b-9c46-0e0f2c97ff2c",
    "urn:uuid:32374bbc-32fd-4f94-ad88-af53a211015b",
    "urn:uuid:325a50ce-fadc-478e-9816-feb8f2a6af8d",
    "urn:uuid:32e00ccc-beaf-4a1d-987e-5b5c58a23d2b",
    "urn:uuid:32f4fedb-4606-4366-ab1e-8542f7d27682",
    "urn:uuid:32fecc2c-a1e4-4f9b-b57c-68d2bed32ce5",
    "urn:uuid:33849610-9088-454e-a11d-ba3188cc7663",
    "urn:uuid:33daafc2-7c8a-412a-b694-353c4330607e",
    "urn:uuid:3449b917-afff-47a2-bbfe-9b907e1af7a4",
    "urn:uuid:3451c6bf-4a36-41fe-9926-ea47ffdecc9e",
    "urn:uuid:34654eec-cd5e-4045-aa32-cbbe8fd63052",
    "urn:uuid:346db9a3-44c0-42d4-beda-f834200ff290",
    "urn:uuid:34c6c0e8-a933-4a51-bbf6-7721075b239c",
    "urn:uuid:34c7e92b-ccec-4288-a000-265917ff0ffb",
    "urn:uuid:34d7ee62-cceb-462f-a9c9-8307ed5c5244",
    "urn:uuid:34f22db1-cc59-44be-9cd8-005c9cadb6ad",
    "urn:uuid:3518e444-803d-459b-bd0c-654aa486613e",
    "urn:uuid:3547e89d-df9b-4a7a-9f78-22fe3f20a50b",
    "urn:uuid:357477c3-6241-452b-834b-833bbcf1ea71",
    "urn:uuid:35b13cd0-fcbd-4d42-aa3a-04bf19d2fbb9",
    "urn:uuid:36315ed7-174d-4460-b840-89d2dc130e21",
    "urn:uuid:36553f3d-3063-49ab-861c-47fd4eec7cfd",
    "urn:uuid:368c43a6-d587-4e9d-96c7-99da4d648aaa",
    "urn:uuid:3774fca5-2e21-4a5d-af64-923eb14eb423",
    "urn:uuid:379e1338-0ea5-4619-b007-835a58c6e36c",
    "urn:uuid:381a967a-011c-46ad-9fd8-208068cc9d29",
    "urn:uuid:38526a73-c4a9-4cef-bdee-8d961da25fda",
    "urn:uuid:38649abc-85e1-4f7f-af1d-9f644a37a91b",
    "urn:uuid:38710033-3794-4234-8bbd-5f060b249b28",
    "urn:uuid:38b6973b-8b4f-4cd3-97ae-bb7e46697725",
    "urn:uuid:38dc6df0-5043-4a95-9110-147b40ca7e51",
    "urn:uuid:38ecd601-9467-4080-844c-8b76816d3b95",
    "urn:uuid:39428ebb-bc71-4f72-9ebe-c940f88d9879",
    "urn:uuid:39c83087-8f6e-4028-bca4-e15886984c77",
    "urn:uuid:39c9ede5-d966-4d1a-a6f5-6118869c3c2c",
    "urn:uuid:3a23f505-a2e2-4be4-92e0-ccc73f9a600a",
    "urn:uuid:3a308f27-dd99-4ab6-a7ae-09666829b159",
    "urn:uuid:3a39f940-8a51-4881-8f68-5fc85f295341",
    "urn:uuid:3a5b55ef-0814-48af-910a-8879b536855b",
    "urn:uuid:3ac29f1f-bcfb-44ee-a0ae-8ca8187902cb",
    "urn:uuid:3b04747e-23e9-4c1b-86a6-e07fc32de2e1",
    "urn:uuid:3b4db342-d792-4a76-bd33-37c7ca43c704",
    "urn:uuid:3c19d901-1c08-4e84-a9c5-1658b4447b88",
    "urn:uuid:3c247d87-47d1-44a1-8de6-205f195cc69e",
    "urn:uuid:3c375c9d-6401-49d6-bf50-aae52921d4a5",
    "urn:uuid:3c76b2f0-1ccb-43f9-b00a-b8ea4bc88a8d",
    "urn:uuid:3ca9ee3c-aa64-49a8-8eac-e4e9fdde1f33",
    "urn:uuid:3d3ba215-ed6c-45ba-a293-b2ab86c51d69",
    "urn:uuid:3e11a671-c004-44f2-8d6e-bf7933e08bbb",
    "urn:uuid:3e455468-be72-4afa-aba9-58c37c036e75",
    "urn:uuid:3e50e9ae-4157-4eea-a762-f943f292b9b2",
    "urn:uuid:3e59dd1f-a3b0-4189-8bc8-363be7807161",
    "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
    "urn:uuid:3e9c67a0-81ad-468d-a98c-68d3af104351",
    "urn:uuid:3eb9597a-ad5c-4bc3-96cd-60280ad79388",
    "urn:uuid:3ef9fce1-922f-464f-b973-2d43ecaddccd",
    "urn:uuid:3f43164d-2e69-4cc9-98b5-60fdc5e6f434",
    "urn:uuid:3fa7eb7e-bb45-4bd1-a7a4-a7c40cf9f2f6",
    "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30",
    "urn:uuid:3fbea852-b7db-4f32-9aa8-190e797cd8b0",
    "urn:uuid:3fe76a4c-b5f0-4bb9-b384-5f7f83b07128",
    "urn:uuid:400f1610-1eba-4c3c-830b-e21ea6965065",
    "urn:uuid:40115c4b-1875-476b-b2eb-8f9f8b71e6bb",
    "urn:uuid:40652117-ec64-4eda-8fa8-bdfb858b1aa2",
    "urn:uuid:40d6866d-20db-4677-a0d2-a4922f349cd2",
    "urn:uuid:41a13648-f379-4328-a0b6-0429f53c6e80",
    "urn:uuid:41bf9209-0d1e-44a8-ad75-8dfeff9e0527",
    "urn:uuid:41c5a15f-f943-4381-b7e2-f4e457e84fd1",
    "urn:uuid:424805ab-e734-4973-9608-07892429420f",
    "urn:uuid:43002c12-43d7-4d07-9293-49f3074b8953",
    "urn:uuid:43141104-142c-4e97-b472-61595388c16c",
    "urn:uuid:43457138-2721-4162-870f-85006ba3e6be",
    "urn:uuid:438baf25-c35b-4694-a032-72cff4c8c469",
    "urn:uuid:438ec001-b2be-4352-a008-bba8f8a1f3f1",
    "urn:uuid:443f3561-4bb5-4d5b-b021-e674d7a47664",
    "urn:uuid:4447f41d-cf47-4eba-83d4-fbd2afd7d87c",
    "urn:uuid:4473ec98-3b0f-46b4-93de-60629332ba89",
    "urn:uuid:44a389d2-b094-42fc-b6bb-a92cd24cdadc",
    "urn:uuid:44bd4ec6-ac9e-4294-b54f-0decd732aeb5",
    "urn:uuid:44c77505-82a8-434d-a726-351f2d95732f",
    "urn:uuid:44dec482-bb85-495a-9d9c-d029df6deeb5",
    "urn:uuid:45298e19-ae4b-4100-9b74-56f108e83258",
    "urn:uuid:454e5037-ea6c-46dc-a2b9-d9b27c051ab1",
    "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
    "urn:uuid:45a8647a-b930-455d-8207-7edbb089a132",
    "urn:uuid:45d0c13b-cde3-424f-8e70-a8c56a307519",
    "urn:uuid:45ddac14-ce30-4d20-a175-bbc4d85f45d4",
    "urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929",
    "urn:uuid:45ffeccd-00c3-4397-a705-466728615531",
    "urn:uuid:461a79e2-9a12-4460-a940-0b2732f8b00b",
    "urn:uuid:462a2e50-08b0-4eca-b51b-5b957df943b1",
    "urn:uuid:4630b373-c711-4f78-89ac-9d391ebb15dc",
    "urn:uuid:46781123-db78-4492-b540-4ea28f03f02b",
    "urn:uuid:4702877e-2ad4-4875-8a27-ef99339c8553",
    "urn:uuid:47072eab-eb7b-4766-b00a-0bf3fe867c5e",
    "urn:uuid:475077c6-8a0d-4954-9883-ba29330925d3",
    "urn:uuid:4794ccb8-5d3f-4284-bb16-afe34bfa3d67",
    "urn:uuid:47c1c428-f32a-4c45-8750-2dc68caad65e",
    "urn:uuid:47cb9b8a-f841-4b73-85bc-a777473aa609",
    "urn:uuid:482ee8fb-4b0d-42dc-a313-c214cae1ff1e",
    "urn:uuid:4838c3a1-746c-4112-b3de-526aab1035f0",
    "urn:uuid:48420078-611a-40d6-b7c5-02935856b181",
    "urn:uuid:4843528b-7c62-4895-8f6c-b663cf7ccb91",
    "urn:uuid:488b6a4d-4c6a-499a-8696-328fc48e46e8",
    "urn:uuid:489e7a75-33e7-46e1-b794-5c268cca2a23",
    "urn:uuid:48bd14ac-fca7-46be-b50e-f729bd475980",
    "urn:uuid:496d1b66-73ef-4e6a-965e-6e67183f7c50",
    "urn:uuid:49a9d4dc-b1df-4c2f-aa1c-041435108e07",
    "urn:uuid:49df86f1-e435-4072-ad8f-2cf200b89a68",
    "urn:uuid:4a4cc83b-b7d3-45bb-aab2-a4918310d48a",
    "urn:uuid:4ae0743e-27f5-4211-ba73-7671ebc0738a",
    "urn:uuid:4aea9cc6-3e2f-45a6-bb3d-92a8c19224ae",
    "urn:uuid:4b06a6ef-00b0-41c0-b826-3ac3059efaa8",
    "urn:uuid:4b34c7bc-ab68-4690-952f-eec2de9e865c",
    "urn:uuid:4b3c4f61-3c9d-4308-b4d4-ed0cb6e26fa4",
    "urn:uuid:4b81a76b-55e7-4097-a345-89d8b778f08e",
    "urn:uuid:4b93cc33-a176-4805-bd45-238798451e0c",
    "urn:uuid:4be5393c-e464-4ede-ac10-bacd25e3b1e5",
    "urn:uuid:4c5b32a9-4d9f-4f2b-804a-12c487399d39",
    "urn:uuid:4c74fea1-7d81-4015-bdee-4561d67bcd4d",
    "urn:uuid:4cbbafec-2379-4b3d-b21a-4cc767822af7",
    "urn:uuid:4ce8148b-d4ae-4583-8172-277abeeb26cf",
    "urn:uuid:4d0a6e4e-434f-447d-a9fd-6747ab984a87",
    "urn:uuid:4d8daf81-914a-426c-9cc7-534fc6eed006",
    "urn:uuid:4e808969-ade5-405c-b05b-2e0bbaaadafa",
    "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
    "urn:uuid:4eb4e3f1-c861-4ad3-aa28-6972dd6ea552",
    "urn:uuid:4ed166c8-a90c-4c52-9bd7-db726835b380",
    "urn:uuid:4f13b233-3060-4c00-a769-c558429c3aa7",
    "urn:uuid:4f2153cc-eb69-4a7d-ba5c-eabaf46627e6",
    "urn:uuid:4f329e32-44d0-4b99-86ea-6081a59ce73d",
    "urn:uuid:4f5f10c1-2f69-4e89-8fab-84a7f7a3061b",
    "urn:uuid:4f8194d3-f4b1-47a6-8101-aa8cd016f6e1",
    "urn:uuid:4f857975-df69-4cc2-a60b-7a498719299e",
    "urn:uuid:4f876e03-2ba8-494f-b0f2-afd46ab6b934",
    "urn:uuid:4fdcca86-5235-4133-887e-17b54bf1da24",
    "urn:uuid:4ff6041e-629b-4166-89b6-aba165d8c15f",
    "urn:uuid:503e7b48-5ef7-4bf8-b4ab-31d04aaa1559",
    "urn:uuid:5045f4bb-0f7d-4132-988c-c49d734a1587",
    "urn:uuid:5064fac9-6eab-41ae-8c95-5afae9141140",
    "urn:uuid:50a5c655-e7e1-418e-9486-178a70f24069",
    "urn:uuid:50efd903-fe4f-4a4d-9c73-4e7cd5e825eb",
    "urn:uuid:5118e748-bc6f-482a-ad9a-7a158a9252a9",
    "urn:uuid:511e56a9-12c7-411e-989a-1061fc3c2882",
    "urn:uuid:51590a3c-c536-46cc-82a2-1a213099de88",
    "urn:uuid:5164558d-cd81-470d-a435-0da418a7d137",
    "urn:uuid:516fb662-512d-42cf-b030-756189a7065e",
    "urn:uuid:517e06c6-f907-4d3f-92ca-d3b6f06a4dba",
    "urn:uuid:517f0a9d-f274-4f99-8731-9dc921f8c7ac",
    "urn:uuid:51b40e2c-5b4d-4919-bc65-d426422923ef",
    "urn:uuid:51ded9e4-c533-4884-81e6-0b62a8516850",
    "urn:uuid:520edeaf-4bda-4c66-87bb-d6ba7a65f4ef",
    "urn:uuid:522df93e-8d78-4aa8-8ca3-e9c88f110c80",
    "urn:uuid:523d476d-e383-44e0-8cab-50d9f2859647",
    "urn:uuid:526b3bdf-ba92-439a-b9d5-23fa4279be45",
    "urn:uuid:5297658f-b601-4564-8c96-d8298c08cad7",
    "urn:uuid:52a06444-312f-4b90-9174-02d19553722f",
    "urn:uuid:52a09bf2-6b64-4f64-8d17-cb50a2c294d5",
    "urn:uuid:52e98d74-140a-45ae-9670-fcdb38942d97",
    "urn:uuid:533f0fe5-106d-4d9c-8fbb-d18f91263336",
    "urn:uuid:537f5597-841d-4de6-85fe-976eb10c7db7",
    "urn:uuid:539bde69-fb14-4a93-ad65-5a676746e932",
    "urn:uuid:5412c8ef-53d3-42d8-b6f9-d39220aff942",
    "urn:uuid:546a74e5-bfed-4ce4-9b19-041d5fdfb388",
    "urn:uuid:54afd32d-e7ca-47b4-b23f-1277bda066e2",
    "urn:uuid:54d35d78-da75-48b1-bccb-144eba0804a0",
    "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
    "urn:uuid:550d1c68-68fa-4441-8e34-69825f02d844",
    "urn:uuid:55363d96-9a7f-484d-be57-a1e93ae4df55",
    "urn:uuid:554bac8e-2cd1-477e-b88f-0bfc5f46da87",
    "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4",
    "urn:uuid:556c76cb-7433-4f01-86f1-cbbf0bc6fe95",
    "urn:uuid:55c8e28c-473e-4094-89d6-2a1ea16879e3",
    "urn:uuid:561e07f8-1c49-4700-b0af-4df4cf5ee94c",
    "urn:uuid:56523306-74f3-4753-8214-d0bfa68bc5d5",
    "urn:uuid:56b0284d-ea52-4730-baef-596780d61dcd",
    "urn:uuid:56b3a74d-7720-4bf7-b3bd-93993f94ebf3",
    "urn:uuid:56bd26c9-7d45-4391-ba3e-fb198c908665",
    "urn:uuid:57790a83-4023-48b5-9e26-ff4c19323c91",
    "urn:uuid:57951517-a204-4ee3-8fb0-861a36731660",
    "urn:uuid:57d0ee24-a7ce-4e13-a210-4cc1e3b00b56",
    "urn:uuid:57eeacec-5920-4133-83e9-8b4cd48bf759",
    "urn:uuid:5838084a-ffaf-428a-80a9-26e5da5f38c4",
    "urn:uuid:586481c1-ffe5-4581-a75e-5a8521c2e3fb",
    "urn:uuid:58ad6734-94de-4363-a2b2-559a9a10aebb",
    "urn:uuid:58e62b67-5cb1-4463-a967-c506506fb472",
    "urn:uuid:58e807c5-1ecd-41cb-b5cb-d975822e7d10",
    "urn:uuid:58f1c3d5-9aa5-45b5-b01b-8f998de65e40",
    "urn:uuid:593cdd72-5635-4c79-a9c7-b99346d7c2e1",
    "urn:uuid:593dc0f6-cda0-4a27-a905-4d9a84968af1",
    "urn:uuid:59e47f44-f852-42f8-ab47-64d212447691",
    "urn:uuid:5a2f0d15-d50a-45f3-a76f-87e2968a6aed",
    "urn:uuid:5a7c372b-6b23-4115-8129-84b5fad3a591",
    "urn:uuid:5a945993-0bbc-4b93-a027-8a9c65eadde0",
    "urn:uuid:5b63b7cd-d37a-4f98-9472-ac67fe1c2dae",
    "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
    "urn:uuid:5bd96f47-f41c-4ba5-86a0-0d8cb192c94b",
    "urn:uuid:5bf1070c-8b77-468e-8316-4cfb10732c62",
    "urn:uuid:5c0010c3-e567-45b1-926e-91dd0363f528",
    "urn:uuid:5c04d308-9b9c-437f-b36f-ac6d05359b7c",
    "urn:uuid:5c130474-2e54-4ec8-9a3e-2355428ac1d1",
    "urn:uuid:5c46b2ed-4fca-4687-ba8b-563256d5f2f4",
    "urn:uuid:5c84e88a-89e3-4262-b2c7-9fe2ef55d012",
    "urn:uuid:5c8953d5-b002-431f-8ba7-4b8ce7dd42ab",
    "urn:uuid:5c98a7ca-5c42-4f2b-9236-86c453eddf68",
    "urn:uuid:5c9ca977-04c0-42d0-8b1e-5d85c3fd905c",
    "urn:uuid:5cac9313-3d4f-4510-8bac-b257c148accb",
    "urn:uuid:5cb523fb-06b4-4068-b362-7aeed13d453e",
    "urn:uuid:5cbf52ee-08a7-4a19-bb31-d97ab8d074f7",
    "urn:uuid:5d16fb8c-58f4-4c1b-9d25-40666fc144bd",
    "urn:uuid:5d7e6d90-8fc4-4b2f-a97b-04bab6ff6e19",
    "urn:uuid:5de2ca26-d059-42fc-9ea3-2beff8196917",
    "urn:uuid:5e0b82c6-1611-4f91-b552-11bab1c32916",
    "urn:uuid:5ec7eeb5-1b45-4838-b12f-549245d4018b",
    "urn:uuid:5f2054c6-8388-4d5b-b983-986606916b37",
    "urn:uuid:5f7e4cb8-69a7-4933-854b-6e7bbc93a0f1",
    "urn:uuid:5f84a75b-3492-448f-a42d-c54cf4c32da0",
    "urn:uuid:5fa3bea4-1680-4d31-b2ad-fdff06b948d1",
    "urn:uuid:5fca732b-96e6-4605-8410-8351c5d1f96a",
    "urn:uuid:60143061-9c32-4555-8fdc-847e68ce8f16",
    "urn:uuid:605a5909-d1a3-4540-a329-5ee89aa7b684",
    "urn:uuid:60808942-4f7a-44c9-85de-4b3cf47ec7dd",
    "urn:uuid:60d65a35-60d7-43a2-8535-99cfced50031",
    "urn:uuid:60d67777-0124-483d-b32a-0fed2ee2d46b",
    "urn:uuid:60db439c-bb38-47a0-bfe5-c7459f8e6090",
    "urn:uuid:60fba077-e5c2-4328-a0d1-5f983d5cd780",
    "urn:uuid:6187bb71-d6f3-4a7c-8765-9320aafd36ad",
    "urn:uuid:619e4bc1-dc2b-4ae8-b4a9-da4e4cad6e4e",
    "urn:uuid:61fd4411-3d4a-4e1d-8127-2b7adfd4ce07",
    "urn:uuid:620a0ad6-31da-41aa-a1e4-2973bb1be058",
    "urn:uuid:6250cac8-1454-4728-8e48-1890f9a62edf",
    "urn:uuid:6265e6d8-3613-43e1-bb52-65b36182c218",
    "urn:uuid:6316e4d5-6175-4c0a-bee4-f7474c095f53",
    "urn:uuid:6328536c-e4a4-4277-b275-0a8a7146d152",
    "urn:uuid:635dc93f-838e-447c-aa5a-7f86b575919f",
    "urn:uuid:63dd968e-0dae-45a0-98ba-06b83032ed48",
    "urn:uuid:640c9ebf-7397-4394-831d-69f5853ac5c8",
    "urn:uuid:640cbf2a-bf3f-465e-a7f9-0d97c48f0e1f",
    "urn:uuid:64aee7f1-75c2-47b6-90c4-0117e5accf89",
    "urn:uuid:64e2d5a7-ae76-40d9-855f-323d58e1ee16",
    "urn:uuid:64ff3c19-0344-41c8-936c-4336e0d0b760",
    "urn:uuid:65334560-ae6d-466e-803c-78244b705c5b",
    "urn:uuid:6562edc7-ace1-408a-a8bf-2bffcb6572b8",
    "urn:uuid:6574dc8c-d1b3-4dcc-96ce-8aa80fbe82b5",
    "urn:uuid:65be7ead-b922-4a43-96c6-d0ecf43ce2b2",
    "urn:uuid:65eda8f9-c136-46f2-bd8c-8b38b2568a34",
    "urn:uuid:65fcf7f9-2b97-4221-82f1-04d6d6e4fcfa",
    "urn:uuid:676173e7-6104-41f9-b2f2-95d235a3a95c",
    "urn:uuid:6779b152-105a-4fbc-b6e6-aa3246282ea0",
    "urn:uuid:678d826e-ad2c-493f-8187-25c5734f0232",
    "urn:uuid:67922473-e00b-4db9-ae57-12f963c33087",
    "urn:uuid:67953d1f-38a5-442e-8fff-e9ceae6b7a78",
    "urn:uuid:67ac3c6c-23b7-46a9-b007-a83151e84721",
    "urn:uuid:67f5150b-6d3e-43d0-969c-f7387ec86069",
    "urn:uuid:6800cca5-05b3-4571-9b98-979ca6c8a5c1",
    "urn:uuid:68277a25-205a-4619-9a87-590ce1565818",
    "urn:uuid:68b6758f-5f71-444b-8fa4-ff25e8ccdd6b",
    "urn:uuid:68cbad9d-9f9f-49ee-93c4-039489918e96",
    "urn:uuid:68e0c96d-dfe2-418d-b27a-df73bf8da23b",
    "urn:uuid:68eedf23-0c59-42f4-84e4-dee129e2d813",
    "urn:uuid:6923d159-9120-4de8-aad5-aaf9baa64b37",
    "urn:uuid:695999e5-a66d-4ad1-8aab-178887ad28d1",
    "urn:uuid:699abcf0-77c9-4e82-a864-7d6745c8b88d",
    "urn:uuid:69b28db8-59b4-4cec-a6a3-1770de5f7384",
    "urn:uuid:69ef56dc-9747-4a55-a4d1-f144c0f887da",
    "urn:uuid:6a25e9a4-78c0-4b7a-bfe0-2b96d45c1ef2",
    "urn:uuid:6a3fc859-7a0d-492e-ba44-50b4ddc0f20f",
    "urn:uuid:6a6a990b-27e1-42a4-8591-59e8db4625bd",
    "urn:uuid:6af418ab-a35e-47b5-8754-b4fbdaf3ae8e",
    "urn:uuid:6b2e6c15-f414-4480-828a-cc19da05f9fb",
    "urn:uuid:6b78393e-3876-49d3-b82b-3dd0d4ff3b21",
    "urn:uuid:6bb96444-d087-4f5c-8398-4f3dc18cac96",
    "urn:uuid:6bcac000-f712-409e-b09d-925136bf96c2",
    "urn:uuid:6c0efb7b-2257-4b78-a4a1-65e135a01339",
    "urn:uuid:6c13c2cf-973e-4abf-8173-dd90eaf57938",
    "urn:uuid:6c1711a5-ca46-4052-aaed-0e4e27d60636",
    "urn:uuid:6d1cf432-5559-4e89-afa8-dad94bcb4ee2",
    "urn:uuid:6da2baae-8135-47ae-aa6b-d70da67ce130",
    "urn:uuid:6dbf77e2-01b5-48e1-8fc5-8ff5b9354b60",
    "urn:uuid:6de72ff5-d330-402f-bb23-d6debf12589d",
    "urn:uuid:6df918ba-11eb-471e-b457-1dbd53fe5c8b",
    "urn:uuid:6e3eb528-17bf-469f-92c2-4bd54698e28d",
    "urn:uuid:6ea19025-a4ce-4bee-961e-befcd91fd68a",
    "urn:uuid:6ed47c88-27f1-4afd-88e9-df76c8500ef4",
    "urn:uuid:6ee05280-22fc-4e93-a374-8fa890e7552e",
    "urn:uuid:6eff4cba-09bf-4c84-8892-38a06c0c6495",
    "urn:uuid:6f40b78d-cde2-42bd-a896-bdc671395837",
    "urn:uuid:6f5daf0f-3239-4be3-915a-185f62d60224",
    "urn:uuid:6fade234-ce94-46a5-9add-2908ca7b39e8",
    "urn:uuid:6fd2c3b2-de81-4166-9379-10cec9081f7d",
    "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765",
    "urn:uuid:704f26e9-640a-4a8e-bdd2-2b6d97745986",
    "urn:uuid:705ab9c3-10fa-403c-8827-2b2f9368f751",
    "urn:uuid:70a8b5c8-179c-4828-a2b2-c579b0ae5301",
    "urn:uuid:70bc7e53-c23f-4dca-8a30-8d362bc9f662",
    "urn:uuid:710d8b62-86d3-409e-854a-dd35ef06584b",
    "urn:uuid:71a38b05-9dff-4ccf-a356-9a80cff9b371",
    "urn:uuid:71daf83d-6115-4bde-94bf-237daf170c67",
    "urn:uuid:7206b9e2-70c8-49da-ac09-4d862fa7a1c8",
    "urn:uuid:72d78a90-b76f-446c-b447-6704c9f5842c",
    "urn:uuid:72d9a1a7-0fe9-42c3-b382-6505d27a9f1b",
    "urn:uuid:736457e1-a3e7-4632-a8ee-b461ed484442",
    "urn:uuid:737defc6-6789-4cdd-87f7-63952cdef118",
    "urn:uuid:739df8ae-bbd0-4c6d-9e4c-4211b47052b4",
    "urn:uuid:73c98f07-9d4e-4cc9-bae7-adbe213355fe",
    "urn:uuid:73e79877-a4cc-4221-bbef-694fec4c9a8b",
    "urn:uuid:7403436a-1d4b-471f-8d7c-af1c5f055118",
    "urn:uuid:74059dab-b498-4887-9978-fad6081fc63d",
    "urn:uuid:7466210b-1894-4b14-aa37-e5f27f8f3350",
    "urn:uuid:74ae58d7-65e0-4725-947a-20d3cf498508",
    "urn:uuid:74e9903d-8775-4f72-a82f-ae88bbbb06ed",
    "urn:uuid:758889b2-aea5-470b-8b16-c5d25f2b6ba3",
    "urn:uuid:75b2c385-ada6-413b-bae4-727c2bb7d894",
    "urn:uuid:75bc1017-57ee-403b-b328-c878447ef56e",
    "urn:uuid:75e9bd12-9b58-4080-8f6c-d42cdf594c77",
    "urn:uuid:7603b0fb-4649-4039-b83c-aeb2c4c52af9",
    "urn:uuid:761461ce-048a-4c1f-8316-6b32c6043b81",
    "urn:uuid:764ff34c-80fe-4a25-87b4-e031da4b19a7",
    "urn:uuid:76bebde3-401f-40cd-bc29-599e3ca0eee0",
    "urn:uuid:76dbfbbc-79a6-4b5a-88d3-c31378d27611",
    "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
    "urn:uuid:770e9a05-d59d-49d2-9fae-012d9ba3edec",
    "urn:uuid:7731c967-eca6-43a2-a75d-2070d953614c",
    "urn:uuid:77a3a645-7c60-4692-921e-fa07243c8e43",
    "urn:uuid:77a824d6-26bb-46ec-826c-b7c60478bfea",
    "urn:uuid:77d78323-eba1-47e1-ada3-16aa434adb16",
    "urn:uuid:77ded77c-43ae-4c1e-a919-438378bd2042",
    "urn:uuid:782e15ba-ddb5-4ce8-b352-fc6e31428606",
    "urn:uuid:78e418b2-6084-4135-979b-115fe4364239",
    "urn:uuid:794a1dd4-a2a7-4f6d-9697-5fa32e00a8b4",
    "urn:uuid:79a53fad-e8c8-467b-a88d-cf89e34cad2c",
    "urn:uuid:79adeeff-76cb-4c6b-a103-039043f484ac",
    "urn:uuid:79d0e08a-17dd-4d77-a721-5b936ec5fc47",
    "urn:uuid:79d21424-1731-4347-b63d-0f59a181f111",
    "urn:uuid:7a17e151-db88-404d-90a2-bc81151a1ad4",
    "urn:uuid:7a317edb-3bbe-49f4-b908-1db5e9edf4bc",
    "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
    "urn:uuid:7ac7a4ad-6823-4306-900a-903e3b8e9a27",
    "urn:uuid:7b1b9076-23b8-4ff7-9a71-51931143d125",
    "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8",
    "urn:uuid:7b6409db-7dda-4ee3-8d42-80d4ba31d7de",
    "urn:uuid:7b79ad30-be49-4698-9e54-3d2c3d6fc9c2",
    "urn:uuid:7b805cd9-a0c6-4280-9837-760dfece5b6a",
    "urn:uuid:7c674ad2-04ad-4bb5-8434-a4c7b804b02c",
    "urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981",
    "urn:uuid:7c7d436a-933b-40b7-9fbb-45f0ff035eec",
    "urn:uuid:7d173ecd-6ccd-485b-bbf8-a07c0afcb158",
    "urn:uuid:7d6e05ef-910c-49a8-aebb-ba22dd99946c",
    "urn:uuid:7d7401c6-00ca-4010-901d-09477338cb34",
    "urn:uuid:7dbfe73d-968a-4ac8-a84a-e865eecfd3aa",
    "urn:uuid:7dc71b7b-0612-46b1-88a7-e838f7ee6134",
    "urn:uuid:7df51ab3-8816-42e0-8336-5007ee59ce22",
    "urn:uuid:7e2e6da6-b92e-45a5-b490-c11370b027b4",
    "urn:uuid:7e32fa09-632f-47ec-a8be-e0c229e727da",
    "urn:uuid:7e3b88ac-3d0c-45bd-82d8-090fd0c22b05",
    "urn:uuid:7e5d331b-ce3d-481b-9afe-f2111adc6389",
    "urn:uuid:7e89ae8a-6618-4d20-a433-6d3840e1eda5",
    "urn:uuid:7e960f07-0efa-4408-a191-ffe41c9395fe",
    "urn:uuid:7eb52d21-f6f5-4f7f-ad8d-69396d0a851c",
    "urn:uuid:7fc5999a-3153-495e-a9e4-6e2fa4b35466",
    "urn:uuid:7fff60d8-e117-481c-81fb-4b5b167c4d31",
    "urn:uuid:8055f095-5721-452c-a01e-c66adc0bb879",
    "urn:uuid:80bbdc4e-ab1e-4ceb-b83e-6bab3749f308",
    "urn:uuid:811a9bef-7a24-4f51-a81e-f2924d9b3085",
    "urn:uuid:8138ecc5-6158-4786-afec-925599c67b25",
    "urn:uuid:8152e9e4-6be6-4b9f-a913-969c920af277",
    "urn:uuid:815f9a8a-fbeb-4518-ae7a-cde1b6dc1631",
    "urn:uuid:81d20637-0d3a-44fb-baa4-abe77a94ade8",
    "urn:uuid:8205a1b2-9f2c-420f-852b-e8664f601938",
    "urn:uuid:82292311-3a67-40cb-98ef-cfcad48c9f28",
    "urn:uuid:82330dcc-48f7-4c62-89e7-748d6cbf0849",
    "urn:uuid:82788b92-e7e2-458d-aa00-d14e5448427a",
    "urn:uuid:831ad068-9b9d-44d5-bf37-2ad01936ba60",
    "urn:uuid:83b3b28d-e254-4344-acab-c55b1176cdcd",
    "urn:uuid:83c6cbb2-d720-4dd5-8186-1ceb458dfe53",
    "urn:uuid:83d350f3-74f0-404e-8258-e3c819f0b558",
    "urn:uuid:842e3529-eaac-49b5-977c-78c9ea84570c",
    "urn:uuid:84677aa0-3aca-48a1-8a10-3da6b818b8b9",
    "urn:uuid:846bba7a-6161-4a61-addd-19b60032e968",
    "urn:uuid:84fdb7c6-ad08-4e44-851b-c0fbfd67193b",
    "urn:uuid:850fd218-36a7-4024-b096-39443088c1ec",
    "urn:uuid:85694223-0c9f-4798-a693-c9ae294130f3",
    "urn:uuid:858a3ad2-68c0-4b1b-936e-0524ef5b00a1",
    "urn:uuid:85919c87-f1a4-437e-a42c-b843dc737232",
    "urn:uuid:85e79af6-5c6d-4e9b-b6b4-4ed3060bfd23",
    "urn:uuid:860ec6cb-b0fa-4738-8ece-bdbebb0bdddf",
    "urn:uuid:861e1ce9-8826-4d7f-b756-fead75d051ac",
    "urn:uuid:862f56d4-0241-4c8e-897a-15830afd1941",
    "urn:uuid:8634dc6a-08e3-49e9-941d-590b27f88cfe",
    "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
    "urn:uuid:86b49294-3197-40c3-94d8-1af3e1c723bc",
    "urn:uuid:87107086-71e4-4b8b-899e-10c24486072b",
    "urn:uuid:87bf0817-1c0e-449a-aab5-70e73e7d9c72",
    "urn:uuid:87fd3d74-b7dd-4de8-af55-08545b8f224c",
    "urn:uuid:88352bef-51d3-40b4-83c8-5d8f96aae1dc",
    "urn:uuid:88770359-f6f1-49c9-a368-973cc82bb90f",
    "urn:uuid:88b4f4ce-cde9-4985-b6f7-0dd2d2e234a9",
    "urn:uuid:88b73e49-36cf-4222-b64a-abe13ee42ee5",
    "urn:uuid:88d6ad6c-87e4-4223-b3e8-c33c364f0070",
    "urn:uuid:897523c4-d8fb-48f8-8a4c-e059d6fb978b",
    "urn:uuid:89b2c869-2305-4cc2-8424-af0fde56c114",
    "urn:uuid:89b660bc-0d4b-4aad-8a17-de594b19d0dc",
    "urn:uuid:89f68268-4ac6-4fb9-bad7-bc164c2ec3ac",
    "urn:uuid:89f7a365-87fe-475c-a00b-27b4892ce4c3",
    "urn:uuid:8a3364eb-be9a-4280-9185-16e79b63e191",
    "urn:uuid:8a86f3a5-8b52-4b89-ab39-b297da0ffe2d",
    "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
    "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
    "urn:uuid:8b3f9405-d392-41a2-9fc5-9a4dc5f7b0bc",
    "urn:uuid:8ba0c8f9-deb3-4652-aedf-98f9fda4a22e",
    "urn:uuid:8bd3bc1a-11d0-46f7-81ea-1188f7ddb154",
    "urn:uuid:8be34d75-7d30-4d61-bc33-cc2569ee7262",
    "urn:uuid:8bed2d93-396b-4829-9d37-d34ecc7e93b7",
    "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
    "urn:uuid:8c5e05bd-6774-4afe-aae0-27aa273bad37",
    "urn:uuid:8c7b5380-5128-4333-9ea2-4fde37887085",
    "urn:uuid:8cc47160-e281-4f43-93d4-177f7b999134",
    "urn:uuid:8d16bffc-ce2e-49f4-9683-6eabeb80e54b",
    "urn:uuid:8d238fdd-b982-43b3-9c41-7de28e84a222",
    "urn:uuid:8d9cedbe-155f-47e3-b48e-edf05ba7b6ed",
    "urn:uuid:8da45318-5944-4aa7-afd5-245f6894ccb2",
    "urn:uuid:8df99f4d-d7ad-420b-9593-8e737c9fdcd1",
    "urn:uuid:8e3f52f8-c41d-44c8-8648-f6ee019acffe",
    "urn:uuid:8e591054-5de3-450f-95bc-7ec9335b2228",
    "urn:uuid:8e9b8a96-dfaf-446c-a30f-fa4a86514d82",
    "urn:uuid:8ec85552-7145-4f89-8ce0-72304c15edc8",
    "urn:uuid:8edfdb84-325b-48e9-8526-006d8053914f",
    "urn:uuid:8ef2b38f-1f13-42b5-bdfd-e9450c87b6e8",
    "urn:uuid:8fa4409e-023f-49f7-8576-02ebaedc634c",
    "urn:uuid:8fe45994-d5c0-4ad0-af56-77339775e681",
    "urn:uuid:903209da-385d-464a-8d57-61b71d54e2e8",
    "urn:uuid:903eac38-d4eb-4e4a-b7d4-a25741bba472",
    "urn:uuid:909aa045-9701-4f8a-a442-95178cb2906d",
    "urn:uuid:909ec15d-c535-4149-b8d5-bf92d3f9da33",
    "urn:uuid:9108ce8e-1818-467c-a25f-8675415492dd",
    "urn:uuid:91a7526b-ab87-4e11-b9c7-913c316d0cef",
    "urn:uuid:91c6b7de-78fd-4b5a-9d1e-2b69ee97ba8e",
    "urn:uuid:91e3781b-f12b-42af-bf58-371780386623",
    "urn:uuid:91f394ee-b446-4502-be7d-9d5169bdd21e",
    "urn:uuid:9217da23-ed1d-4016-b7e9-9a1d7c04a546",
    "urn:uuid:928ab6a9-7e9a-4beb-adff-65f984589c86",
    "urn:uuid:929c9263-d054-49be-a645-da3f363ec87a",
    "urn:uuid:92e8c070-3f75-4df4-86dd-3fdebe66df03",
    "urn:uuid:93057b90-f764-44c7-b119-a2c29c5e144e",
    "urn:uuid:93315aa2-8062-4644-a14e-60ba46bc2a42",
    "urn:uuid:933abc9a-7725-4444-8639-3a20824a352e",
    "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021",
    "urn:uuid:9386ac37-5b97-4db1-aabf-051fc76c47d5",
    "urn:uuid:9391a1e9-edb1-4fe3-82c9-3be87013075a",
    "urn:uuid:9393d6e8-2f1f-48db-b75c-81af6880c852",
    "urn:uuid:9395d494-7be0-4d0f-8429-30b4f311266c",
    "urn:uuid:93c1d325-7d4a-436d-83b1-bce5bbeb4016",
    "urn:uuid:93db54df-1884-4aa0-bba4-11221ec183a6",
    "urn:uuid:9445e0c4-8ed1-4567-844b-c66f13045539",
    "urn:uuid:9452675b-d56a-4a38-90c9-9efa189f3d94",
    "urn:uuid:94acb024-2f20-4221-93e3-8560f3208f93",
    "urn:uuid:94ed061d-4936-4c6b-81d0-953dbc6bdb3d",
    "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
    "urn:uuid:95c3db47-c6cf-46ca-bf3d-3fd42ed1e6eb",
    "urn:uuid:96348a4e-25ce-493c-a4bb-dc9b59e18d07",
    "urn:uuid:96689ef3-6ecf-45d5-9f2d-db37a9d82122",
    "urn:uuid:9679e150-e342-4615-98e6-84014c53d162",
    "urn:uuid:96fbecaf-6992-4f99-9242-47463c445948",
    "urn:uuid:97514113-7cb5-48b4-9541-733ea93565c0",
    "urn:uuid:9778c275-047c-4ba5-88d8-10a3f4eb2a5a",
    "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
    "urn:uuid:978636a4-0d2c-40e2-8800-0037500324a9",
    "urn:uuid:978dbe89-0e8f-46c3-b80a-20f64bb067fc",
    "urn:uuid:97b3a40b-9b3f-4b28-b8ce-5cd7d2a62e46",
    "urn:uuid:97d3aaf4-eaff-44bf-9f79-29b5b6749422",
    "urn:uuid:97f428fa-4790-4aff-9bc7-7928fe489d3c",
    "urn:uuid:97fb932d-a189-418b-9bc4-efac0ef32ed6",
    "urn:uuid:983a40d9-c3f5-4be7-bca7-0561ba9fab62",
    "urn:uuid:984484bb-484a-47b5-89ac-6eb7a35f9f7c",
    "urn:uuid:98a72c65-8dcc-43d1-b199-ee3daa22cb2c",
    "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
    "urn:uuid:98f26388-ced3-42da-808f-8c4fcb33803d",
    "urn:uuid:98f78d2b-8094-41b8-a6bb-713325f793a0",
    "urn:uuid:99710f21-885f-448b-a6e8-4048c38b658c",
    "urn:uuid:997dc740-d5b3-48e6-ad69-9d4d90ed540f",
    "urn:uuid:99d3a8fc-4856-47a6-824e-8ee0083dec99",
    "urn:uuid:99e2c957-1871-4274-8461-a308d395c420",
    "urn:uuid:9a348175-31ec-4401-afa6-cb89bf54511c",
    "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028",
    "urn:uuid:9a93e3ee-75af-4603-8af3-5487ba52f0ae",
    "urn:uuid:9aae2266-af5b-4543-9ecd-4efcddaf22f8",
    "urn:uuid:9ab99bcf-0f4e-4b96-bafa-fc34e2cb40de",
    "urn:uuid:9ac8f727-4eb8-406f-8ac4-006f5b7d7a7f",
    "urn:uuid:9ada65b6-1571-46df-a3d0-bb2763594eff",
    "urn:uuid:9b0f1e4c-11ed-41bf-bfbb-42b4279c4916",
    "urn:uuid:9b37ab33-699e-4407-9ec2-2f983ae360ed",
    "urn:uuid:9b61e2c0-8342-477e-aaf1-6d5cb829583d",
    "urn:uuid:9b99a8bf-735d-4de5-a8d9-ce80d7f1104a",
    "urn:uuid:9bcdf532-9fed-4389-8edd-48cb894e1be9",
    "urn:uuid:9bd75d12-0eb0-4d97-ab55-23361589bdab",
    "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
    "urn:uuid:9c252b25-011e-4b3d-8bf1-b54966fe2881",
    "urn:uuid:9c364158-a7d0-454f-95b3-5175b7142824",
    "urn:uuid:9c61b51f-4d17-4106-b147-7257f22762ec",
    "urn:uuid:9c65e0ef-4b4f-4119-8cd8-d4144a929324",
    "urn:uuid:9c94cffc-a155-4a23-9c2f-298515ef4d50",
    "urn:uuid:9cd293e5-41f8-41f6-bc80-04d11b5fe31b",
    "urn:uuid:9cf8dd01-d877-4d37-a1ea-6edadf79b415",
    "urn:uuid:9d1874b8-6c8c-465e-849a-f2ddc348d3d0",
    "urn:uuid:9d3097aa-7a26-4f11-a534-22f5389499f0",
    "urn:uuid:9d30b85b-344c-429f-b827-475935331862",
    "urn:uuid:9d30f001-86e0-4e06-9631-c199d9cc5ae4",
    "urn:uuid:9d440069-537c-483e-8258-cc51a6c2ac9c",
    "urn:uuid:9da874db-a055-441b-9133-1a2d9c5350ce",
    "urn:uuid:9dc809a9-95f3-4c45-bb82-06dd391d1f6b",
    "urn:uuid:9e1d5449-45f6-40f9-8d47-0cf092efa242",
    "urn:uuid:9e24a1e3-d6ef-4cdf-8871-7731a246b44d",
    "urn:uuid:9e862121-659d-4ec4-8d9f-204bdd709d9f",
    "urn:uuid:9ea30020-de0b-4e68-a69f-2702d7b9caa8",
    "urn:uuid:9ea98fb4-1c1d-487a-a065-61c45b7c9ec5",
    "urn:uuid:9ecea840-2cf6-4b0e-9f6c-8d08670a4b94",
    "urn:uuid:9ed047f9-1af4-4fff-bb3d-d3ded6b43252",
    "urn:uuid:9f2dec8c-99ca-42d9-be8f-4f6c039a058a",
    "urn:uuid:9f888a8d-f2d1-435c-9a64-9e5410e6148c",
    "urn:uuid:a0008efe-3fef-4617-9ff0-159a32b75bde",
    "urn:uuid:a013ad57-8c7e-4a67-8001-ba939965b6c8",
    "urn:uuid:a01fd2ec-aa2f-4e7e-97c8-4893afca62b3",
    "urn:uuid:a02550bd-936b-4152-a46e-65678fcc71d3",
    "urn:uuid:a0553dab-d811-417e-8a79-67ec620792e7",
    "urn:uuid:a0657410-f98f-4bcb-9554-b3cc8a38759a",
    "urn:uuid:a09ffd88-cf37-40f6-a917-bff05e5ec894",
    "urn:uuid:a0c09675-2669-4494-a712-c29017a7b391",
    "urn:uuid:a0f33d5b-4bdb-46e8-ae40-393c840c6f62",
    "urn:uuid:a10b148f-7a19-4720-b9bc-78e287270624",
    "urn:uuid:a16683df-6af0-4a23-b60d-31ff355a5ae6",
    "urn:uuid:a21851fd-d421-4e32-9a3b-46fc03a5df9a",
    "urn:uuid:a22bc13f-5935-4db9-875e-3485a213df7d",
    "urn:uuid:a23b30c2-bd9f-4a80-b0da-1266559ffb7a",
    "urn:uuid:a2bccb82-6af3-444e-8e0b-264f69e220a2",
    "urn:uuid:a2ffc18e-1dbd-424d-a63e-775114fd3796",
    "urn:uuid:a3fbacd4-6311-47d0-ba10-1410d55788ce",
    "urn:uuid:a4292ed1-76f5-4176-966f-5c9b3c78a5be",
    "urn:uuid:a43e572c-cd06-4bc8-a90f-c177c9017645",
    "urn:uuid:a44b2072-d453-40a7-a2d1-62be9964e197",
    "urn:uuid:a461cea2-cf70-40b2-957b-c1532889d160",
    "urn:uuid:a538059a-fc53-4e69-9b8b-e636980189c1",
    "urn:uuid:a548ce48-3340-4d0d-a18e-ca75f604678e",
    "urn:uuid:a54a08d4-ec2f-4235-9680-8694b869f6ef",
    "urn:uuid:a56ff642-210c-4826-b97b-1990fb6e62a3",
    "urn:uuid:a584147f-8858-4fc2-a721-a9db0b16bf71",
    "urn:uuid:a62c9f7e-718e-4a9b-8f98-17ec505fd6e9",
    "urn:uuid:a687cd39-e408-4054-9a16-38a0e5adc054",
    "urn:uuid:a6a7c409-75c4-4cde-8470-bb4153ad9c9e",
    "urn:uuid:a6bac404-ae9c-41fe-b818-5b13db52a897",
    "urn:uuid:a6c5c20e-3e73-4361-880e-3e496f4f25b2",
    "urn:uuid:a723cc18-0199-4733-acfe-3fc04d0940d3",
    "urn:uuid:a7683258-d9d8-48c2-a1c7-5a4a489c7aea",
    "urn:uuid:a7971b9e-8f7b-49a0-a412-0ae28a65c35b",
    "urn:uuid:a7988952-2738-40a2-aedf-6fb49ac99800",
    "urn:uuid:a7f1665c-c377-4cb5-8778-59e8e0abffc1",
    "urn:uuid:a7f6804f-360a-47ea-85b6-df05f924dc3c",
    "urn:uuid:a846c946-b159-4fed-8f94-14622a9bc324",
    "urn:uuid:a873bf82-2f8f-4df9-bdfb-2637dc96b182",
    "urn:uuid:a8db106c-e9e6-4eef-8c0c-f49fb18fb037",
    "urn:uuid:a9c977eb-c3c5-4c7a-9c4f-0eb222bec3c6",
    "urn:uuid:aa2120c3-751f-4f90-944f-26ec8d4c046f",
    "urn:uuid:aa2761c6-6e45-430f-9851-bb20306ec735",
    "urn:uuid:aaa0a3c5-6818-4769-b378-186b91122f2b",
    "urn:uuid:aaa78f2a-eb86-4143-83c9-e88e2bbab2bb",
    "urn:uuid:aaec29ac-0cc2-4aa6-aa59-fe4a1cfbe6c5",
    "urn:uuid:aaee3ca4-0875-466a-ba37-18936cefa633",
    "urn:uuid:ab0e2528-c5ad-4abe-bc3a-3011f27b7d65",
    "urn:uuid:abba4ed9-ce64-4c31-b396-9603c74a21d9",
    "urn:uuid:ac724144-5a08-407a-a27a-796eb367a161",
    "urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7",
    "urn:uuid:ad387b8d-f991-4582-8e16-befebd6f9f7f",
    "urn:uuid:ada8bcbb-bf0e-4ae1-8b86-90da4e5a754c",
    "urn:uuid:adc2298d-a628-495d-aacf-599f09c84dd9",
    "urn:uuid:adc722bc-8c6d-4761-904c-6d8926e72330",
    "urn:uuid:ae1bcb94-1f25-4368-964c-45608e89016b",
    "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093",
    "urn:uuid:aebcd7da-6aaa-47db-831d-2be25a85038a",
    "urn:uuid:aec6e1be-5a6e-4322-9fb6-47824c0fb508",
    "urn:uuid:af3d858c-3f7c-4b30-9ec1-451a71456675",
    "urn:uuid:af56883b-d7e8-4c1e-b9c0-a181f6c21c39",
    "urn:uuid:af612566-84dd-4584-9981-ae83c203343a",
    "urn:uuid:af7548ea-bfb5-40fb-8155-60d865395208",
    "urn:uuid:afeba7ff-445b-48d6-9000-97af6ab5abfe",
    "urn:uuid:affd6976-ee5c-4679-bd92-106d209f88a7",
    "urn:uuid:b001334e-e824-4a5a-bc84-8b3ba855aebf",
    "urn:uuid:b087a1f3-81a9-4c70-a5b6-29950378bdd0",
    "urn:uuid:b0f1cb61-5cdc-49df-9d91-612c9a805bc9",
    "urn:uuid:b1e90b67-3649-43c4-b3f2-a9a950456413",
    "urn:uuid:b1e9ae23-1814-48c8-8a33-0b0337c674d8",
    "urn:uuid:b24f4256-9aea-456c-bb41-3cd97e36a051",
    "urn:uuid:b28960be-19c3-42ff-a50a-61fe827934e3",
    "urn:uuid:b2cbc773-02cd-4a8c-982f-cec76e5ec795",
    "urn:uuid:b2da5ce9-fdbc-4d32-9495-60eba58b0cab",
    "urn:uuid:b2e0217f-a007-4c41-9d08-b3c942a60422",
    "urn:uuid:b2eadd99-3d29-457f-8e36-92406c08f412",
    "urn:uuid:b2f917c9-9ada-4911-8188-2aeccc652fa5",
    "urn:uuid:b2fa8d60-7325-4e2d-b009-3aea4de3c3c6",
    "urn:uuid:b32fccab-0ef7-4fc4-bec9-9aee534e4afc",
    "urn:uuid:b3d9b0a6-b76b-4571-a20d-5ca7c7501ca2",
    "urn:uuid:b44450c5-d0c8-4518-b1d0-c5f0941c5f71",
    "urn:uuid:b48afbf0-a19f-42a5-8dfc-5b0dc4ba7ed2",
    "urn:uuid:b4b2ccab-421f-4d85-afd2-a2f92d03737e",
    "urn:uuid:b4e48583-4b04-48fc-83d8-e77fc248bcb3",
    "urn:uuid:b536c648-0767-49e9-b712-1849d0825566",
    "urn:uuid:b57335c3-b291-4b5c-9ce9-0c7d580b664e",
    "urn:uuid:b5a8ec0e-a1f9-44eb-9ffc-7094a35eae32",
    "urn:uuid:b5c8340e-ce43-47bc-9e2b-7f96cf2301a4",
    "urn:uuid:b5f9a010-d584-41c0-b677-d34ea1318faf",
    "urn:uuid:b642e129-ab4e-43a2-aff0-96debafdeb6e",
    "urn:uuid:b6446ff8-b20d-4aef-b0ae-fccd4af25b48",
    "urn:uuid:b66bf048-7f86-4318-8350-fbb64491a8b4",
    "urn:uuid:b67e7bbb-81b0-4044-bf43-bd2dcd1e0eb0",
    "urn:uuid:b6e6358a-67f2-4f17-abe3-6047c1590084",
    "urn:uuid:b6f607ec-8378-466a-8a92-5b116928a84f",
    "urn:uuid:b731fa52-a18c-41d3-b817-67eb77e84ee3",
    "urn:uuid:b74f81a5-eb04-4d44-8595-eaa96ef287ed",
    "urn:uuid:b7c5da7f-0ff9-4a9d-814c-974d791729c9",
    "urn:uuid:b808cb77-61b9-448a-9a27-f02d25fcacd0",
    "urn:uuid:b8325660-7a21-4972-969c-e88b5bf54aac",
    "urn:uuid:b902db54-268c-45d6-b3fa-ea53f35cb630",
    "urn:uuid:b91ff137-b70e-4b45-b5a8-d7d8478cc0f2",
    "urn:uuid:b9250f96-c06a-4ae1-ab1f-8035202bea26",
    "urn:uuid:b94af6bd-ce81-4af1-b0c0-3c1c8b55401d",
    "urn:uuid:ba05cd48-5659-4250-8261-dc31a2e129be",
    "urn:uuid:ba852562-0710-4e32-9327-b03efa03811d",
    "urn:uuid:bb3b541c-b4ed-45bc-a26e-9365d65888f6",
    "urn:uuid:bb49c0ac-9eb0-4734-901d-f537f22d4855",
    "urn:uuid:bbaa06a0-b3ff-4f57-818c-60cf45c8c9e7",
    "urn:uuid:bbb8c33f-05dd-4f24-a5c7-cc7a839194f8",
    "urn:uuid:bc816847-9a37-4e92-840e-b13a6380a072",
    "urn:uuid:bd322781-a622-431f-a000-1be56b3c37e1",
    "urn:uuid:bd347ccc-dc4f-4ee4-8f5c-b6a79f4d41de",
    "urn:uuid:bd8e72eb-158e-4dd0-a213-78b06d6ba9d5",
    "urn:uuid:bd926011-fb15-41ba-8200-7005cf33325f",
    "urn:uuid:bdb7f779-f3cc-47cb-8adf-77956a39f0d4",
    "urn:uuid:be2d8436-d3dc-4871-a029-122366c0f690",
    "urn:uuid:be45079f-5d67-4742-8671-a499a61b9ade",
    "urn:uuid:be638422-462d-4f5d-a903-6026472a0465",
    "urn:uuid:be792ca7-e48a-456a-b71a-d2e7ce013ee1",
    "urn:uuid:be89d96d-f2fe-4fd0-b474-8739def4a433",
    "urn:uuid:be9d7d7b-195a-4a88-864a-6fd1e6eaf2f7",
    "urn:uuid:bed044e3-0bd6-48d8-8aab-253bd7096faa",
    "urn:uuid:bf12827c-4e18-4a4b-b0cd-beaf17f4c035",
    "urn:uuid:bf25e16b-0efc-4514-88b9-3e7aa54578a2",
    "urn:uuid:bf847762-9cf4-4164-962c-97558cdc6762",
    "urn:uuid:c03015ff-9150-4204-b5f2-9fbc19660ab2",
    "urn:uuid:c0c52ad6-989e-4d1b-8ed9-9f4d55ba0d40",
    "urn:uuid:c15b2f02-2ed4-430f-b86c-876c372f938e",
    "urn:uuid:c15c5aa4-a64e-4d12-9ded-57d386a5a99d",
    "urn:uuid:c16f8888-996a-428f-a6b8-a4de7e108868",
    "urn:uuid:c1d46382-437d-4926-a7fd-d9d0cd36a531",
    "urn:uuid:c1e17053-8805-4fd9-93e0-eb9997fdaf8f",
    "urn:uuid:c2119140-62f5-42ca-b162-fd313d43319e",
    "urn:uuid:c220fb5a-3d41-491f-865c-8b2a4c28fa3f",
    "urn:uuid:c26a11a5-b8bb-4cd7-8920-cd092b71eb06",
    "urn:uuid:c2c3d648-ab4b-4df7-9d8d-de852327c911",
    "urn:uuid:c2cf2f8f-2a79-4942-863c-c7fc5e8bd40f",
    "urn:uuid:c2dfd358-353e-4ba7-8774-c693c50cba5f",
    "urn:uuid:c30bfb5d-dc0a-47ce-8225-a08fe05164ac",
    "urn:uuid:c353238d-f4ab-4fe1-9ac1-1a9f4e0317a9",
    "urn:uuid:c38865ab-fa4a-4617-809e-1d99d66a3793",
    "urn:uuid:c3ac7e5b-190b-46ab-86f5-5288c831eecc",
    "urn:uuid:c3b42b3b-ad25-42f3-96f7-5642573c8462",
    "urn:uuid:c45f5876-ea6e-409e-b221-625213a50b9f",
    "urn:uuid:c4872e54-8e98-4b2d-803d-b1a24bfb06ce",
    "urn:uuid:c4aefa07-365f-49a3-899c-1f5c16dda09d",
    "urn:uuid:c4df2f3d-e41b-4bde-949e-8989739a863d",
    "urn:uuid:c5c6f787-2192-4331-ba80-8bede20d45b7",
    "urn:uuid:c60eeabd-be06-4756-8ba6-12e3fdc72872",
    "urn:uuid:c6117e48-9e8f-4f0a-88b6-20779e5159d4",
    "urn:uuid:c6303f8a-9c2e-414b-b285-c5671024e962",
    "urn:uuid:c65e599c-ab76-4124-9f5a-0f1f9997e585",
    "urn:uuid:c68e97f6-2eed-4d37-be47-ad318e6c9ba5",
    "urn:uuid:c721f2ec-d052-4cd6-a1b4-e27216b017b1",
    "urn:uuid:c75b3404-beda-4f83-b6ce-b1d83e5669ad",
    "urn:uuid:c768f687-a6f9-4e14-977a-488822437d2a",
    "urn:uuid:c7a623f9-79cd-45e9-ad58-94b359b2bff2",
    "urn:uuid:c7a78756-912d-4e4f-a31b-762d35ae477b",
    "urn:uuid:c7b763c7-2046-4023-85d1-954aaaf12c0d",
    "urn:uuid:c7c5b229-3b71-47b1-94df-4c6f7c6b7828",
    "urn:uuid:c84c4811-3c5d-480b-b7df-17a2505e95b0",
    "urn:uuid:c8c1d8df-16cb-4f99-a42a-17e387eef280",
    "urn:uuid:c8c7bd36-41d4-4cd0-9c52-68d1e458bf59",
    "urn:uuid:c922485e-38de-4c71-8b31-2cf8e45ac65a",
    "urn:uuid:c9477834-26c4-4a2b-85fb-2253be1709bf",
    "urn:uuid:c9f10499-c604-49be-9205-1e80391938af",
    "urn:uuid:ca0c8a69-312f-4ac8-8b2b-365181b6cf02",
    "urn:uuid:ca209073-6b0b-4faa-b78f-0d00d3d11d24",
    "urn:uuid:ca484c0c-e258-4cd3-8802-13fd736f4a07",
    "urn:uuid:cb1aa3aa-d213-4d5c-9061-9e805aea073a",
    "urn:uuid:cb71a150-9540-4253-a1de-4fcb50907875",
    "urn:uuid:cb88c09e-14e0-4771-bcbb-e14fb4570805",
    "urn:uuid:cbc9ebe8-e9e8-4f3d-a919-cb3725b7f68c",
    "urn:uuid:cbd1de1f-2a0b-436c-9be6-94fea9beb031",
    "urn:uuid:cc06cd52-4f36-4489-a96f-da283bf71562",
    "urn:uuid:cc12d9b1-2846-4c8c-a8f5-6daa888b376e",
    "urn:uuid:cccda163-e46e-4720-b300-e3ed738bb1e8",
    "urn:uuid:cd3b5031-565b-48d6-9ef1-b20a427e78f5",
    "urn:uuid:cd664333-1e91-40f6-879d-2b48d97fc6d5",
    "urn:uuid:cd7c1e52-5581-4c58-a6a9-96f8fbe4fcfe",
    "urn:uuid:cd84b279-ed33-43fd-be4d-3bf0bfb28da5",
    "urn:uuid:ce472884-6d77-4065-8052-02106bdf8345",
    "urn:uuid:ce4e2dec-50cc-4729-bb8e-6003fcf99e35",
    "urn:uuid:ce618650-9f53-49e2-ab6f-718ffe06a89e",
    "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
    "urn:uuid:cea74f88-ca24-4874-89ca-5f0cb65d2c84",
    "urn:uuid:cf37a212-b028-47fc-9040-136c5bb702d7",
    "urn:uuid:cfc2af7a-6467-42cb-8699-52bf30033870",
    "urn:uuid:d06a0f44-cd99-4902-bac1-36de0284c944",
    "urn:uuid:d07b8252-8aa0-41c2-a5b3-a8bec45db852",
    "urn:uuid:d091fdbd-b578-4a81-85b8-b28b54ceaf3d",
    "urn:uuid:d092e15b-fc6b-4a6f-9f4b-b3a420ae66fc",
    "urn:uuid:d15da6db-7ba5-435d-9eec-3740a703c137",
    "urn:uuid:d174ff8b-b83a-45b5-9080-8dfedd238cb1",
    "urn:uuid:d18866dc-065d-461f-b2c0-269b4e51f2a9",
    "urn:uuid:d18ab3a8-acf6-4147-afc2-e59c5c4630dd",
    "urn:uuid:d1c09844-e7aa-40eb-9ee7-c1c3ddf68490",
    "urn:uuid:d2085240-e280-4ce3-9875-2f28efcca408",
    "urn:uuid:d2192d11-f0f8-4c35-a585-2094b21f2a11",
    "urn:uuid:d24133d7-c651-4a09-95d9-bcd4dfecc852",
    "urn:uuid:d248e3d5-17b4-4ea4-bd69-c4feffdde743",
    "urn:uuid:d2a66ef7-e632-4029-9ec0-07c29ee32e68",
    "urn:uuid:d2b35bcc-bfd9-4e7f-b308-727751f98a08",
    "urn:uuid:d2b497ed-d240-4e7e-953e-13baf5792584",
    "urn:uuid:d3626907-41e1-4ef2-bc68-2d2efdec0b42",
    "urn:uuid:d48ed7ff-3ca1-404d-9e8e-9c302f532e74",
    "urn:uuid:d52824fa-00d0-496c-84fb-ac2c9c371196",
    "urn:uuid:d550361c-735c-491e-afba-556b6f658c73",
    "urn:uuid:d5c525c9-354b-4589-a5de-06daf0962433",
    "urn:uuid:d5f9da17-e94f-479d-90f0-7732d12ee03a",
    "urn:uuid:d61c6e7f-6863-4448-9bb6-4cd1788de624",
    "urn:uuid:d693259b-a955-4659-a88a-5d8e134f2d48",
    "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa",
    "urn:uuid:d6eb757d-a21e-4186-8ccf-544d77c8e86d",
    "urn:uuid:d6f7741c-ea42-487e-baff-0067243d1990",
    "urn:uuid:d74af6bb-82d3-4bbc-a595-a5fc7bbc03ad",
    "urn:uuid:d814193b-cdfb-47f7-bda5-f218747ec2c0",
    "urn:uuid:d844c220-b581-45c0-9c00-86dc803161ba",
    "urn:uuid:d8842a51-427e-436c-8476-372fb5a37bfd",
    "urn:uuid:d89858ae-0ae4-44a6-b482-787218d5e179",
    "urn:uuid:d898fb1e-b187-459d-b20b-b6ab554b8983",
    "urn:uuid:d8b640a2-2675-4f90-bc60-7149b8de3db9",
    "urn:uuid:d92b0658-0c85-4297-ade9-05db9fb1b0b3",
    "urn:uuid:d95ce073-6aab-466d-b054-0bca851e5160",
    "urn:uuid:d95e9522-e5e3-4131-8d6e-ee0f73b8f273",
    "urn:uuid:d9610d6a-94c7-4d15-9ecf-b32655776b7a",
    "urn:uuid:d9cfc0e8-4d07-4144-9b86-a6fa7b076397",
    "urn:uuid:d9ea1a64-7c37-476f-aea3-ad513b8349d0",
    "urn:uuid:da09116c-bed9-4a1f-b9ff-b0d8d5448cd0",
    "urn:uuid:da263550-52cd-4a77-a46e-6941bd680d63",
    "urn:uuid:da39fb35-44ff-46b2-8690-4deb1759352d",
    "urn:uuid:da4ce753-9ccb-45b5-8261-ebb7a2d228c4",
    "urn:uuid:da89c755-49c5-48dc-80ea-428c47c11355",
    "urn:uuid:dab77b33-384c-47d5-b9d2-1649b126f195",
    "urn:uuid:dabe32db-8d84-4c17-9eeb-583f0609a265",
    "urn:uuid:dac5e65a-561e-483e-a1a3-0d1cd0217757",
    "urn:uuid:db9228a3-e5a9-49b1-b8d6-6fe8691929c2",
    "urn:uuid:dbf8f503-ae98-47ba-af2c-59f26dab3447",
    "urn:uuid:dcc39596-780c-4cca-bb89-5cb32df909b8",
    "urn:uuid:dd2edcc6-b7f4-409f-bb17-9ef6212acc44",
    "urn:uuid:dd5a80e1-a5d1-416d-a7bc-4bf14e593eb8",
    "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354",
    "urn:uuid:de104b91-ca80-4552-9289-c6856691399d",
    "urn:uuid:de67a981-9d8b-4a60-9553-3d19f3a820b8",
    "urn:uuid:de88ac36-e07b-4d19-99c2-7a8b00ff4d65",
    "urn:uuid:de96cc1a-7377-4476-ac03-e569f8b5166f",
    "urn:uuid:def3eb05-8eb2-451d-b5fb-2d8076b1e56a",
    "urn:uuid:defda17a-18a4-441f-bd21-63aeaa375b3f",
    "urn:uuid:df7c053b-3303-442b-81a3-00ae51a17e3f",
    "urn:uuid:e1980619-7994-4c07-9945-6a75719f35d0",
    "urn:uuid:e1f26ebb-28aa-46e5-8109-2a53560d9964",
    "urn:uuid:e262a216-77fe-4a42-9099-b3672c04584d",
    "urn:uuid:e295e151-c48e-4e8d-87a8-9c298c638541",
    "urn:uuid:e29afcc7-47f4-48fe-8dfe-d51873f245ba",
    "urn:uuid:e3156275-3f46-409b-b74c-452208f4fdcb",
    "urn:uuid:e332b565-6ba9-49f9-939f-cb84097991ee",
    "urn:uuid:e372d315-1f44-4cdf-9f85-d01e74317539",
    "urn:uuid:e3d7ac93-909f-4ff5-9cb6-539fd4533e36",
    "urn:uuid:e41d2f97-2b81-41a5-a89e-a1df482c0028",
    "urn:uuid:e43e5270-db6d-4d5d-91f9-3df3742d021b",
    "urn:uuid:e4dc698e-be80-42e3-aa14-c8df668fb00b",
    "urn:uuid:e4e5b10c-e0be-4e54-aaa6-8ba7699dc29d",
    "urn:uuid:e5035e1d-d87c-4361-9fe6-66bcfba9ba55",
    "urn:uuid:e57b6201-cfbb-4d85-b4df-5d0ab5b64e07",
    "urn:uuid:e58c4e16-501f-4eb0-9329-1fcb4c6eaf42",
    "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601",
    "urn:uuid:e5cf34a0-c35c-4078-8194-cbdb83bbc3cf",
    "urn:uuid:e5d1ce04-babc-4a8b-b31d-f65f6ed73aca",
    "urn:uuid:e5df3ee6-ad9c-4544-bf44-ea5c27385154",
    "urn:uuid:e5f6579c-3285-4510-9961-6c2647fe987c",
    "urn:uuid:e65c3c65-ec76-4453-8b9d-7512c5748f13",
    "urn:uuid:e663b5dd-c1fb-4282-b563-3b00795ebad3",
    "urn:uuid:e6dd2937-0598-4aa9-bbf2-317c9e35c0e6",
    "urn:uuid:e710238e-7313-48c6-806b-126872e4579a",
    "urn:uuid:e725ddcb-6d23-450c-be5a-8ec98d7f307b",
    "urn:uuid:e74a2efd-e969-4049-93b3-d9c7d69f9d11",
    "urn:uuid:e77f1eb0-6ba2-47d8-aa76-663ca0eee033",
    "urn:uuid:e78e5ed4-5e08-4f53-918c-3931da7a7083",
    "urn:uuid:e7ec5e64-4438-4d30-83bd-f2ea3808a960",
    "urn:uuid:e802c467-fbf7-473a-9f3a-bc65a40b9b9b",
    "urn:uuid:e84fb5d6-7851-4bfc-be91-04e92cda6b7e",
    "urn:uuid:e85447b5-6df6-4a39-8dc5-fc84f01e7e7b",
    "urn:uuid:e88f7c38-759c-4f05-b600-5d36503375fd",
    "urn:uuid:e8a77376-44a4-487c-87d1-0aefde24c786",
    "urn:uuid:e8ca6ba1-6ef2-4a3a-a299-bd7c3a6498b5",
    "urn:uuid:e975605a-7577-4615-b024-f78011266eb4",
    "urn:uuid:e98e09ca-6bd2-49f0-92f7-1860bb397f02",
    "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc",
    "urn:uuid:e9b498c1-1ead-4794-9793-bdac714417f5",
    "urn:uuid:e9d708ff-0053-47d3-bf1d-21c5b4712799",
    "urn:uuid:ea0d1e41-8e16-4ced-92e0-4c4b1ba5dba9",
    "urn:uuid:ea0e6a8d-6c86-4e6d-b5f8-2a2357a9c182",
    "urn:uuid:ea1ef8ed-70b0-4b91-baa3-ae78f479f3a5",
    "urn:uuid:ea27b1d9-445a-474d-a590-170a34051242",
    "urn:uuid:ea55b93f-5b50-4f2c-9ba9-7c9507a138e9",
    "urn:uuid:ea81721c-fa04-44d4-82ca-3e47570700d4",
    "urn:uuid:eaa8baed-19fe-4db6-a610-2a84829b114d",
    "urn:uuid:eb02922d-db9b-40f3-82d7-5efdff8f6a0a",
    "urn:uuid:eb527126-d5d0-417c-a57e-1131e5b8f893",
    "urn:uuid:eb959135-fcc2-4572-a09a-1267ad1e544c",
    "urn:uuid:eba919b4-fdf9-44e7-85e3-f560aa4c7943",
    "urn:uuid:ec27abc0-a495-455c-887a-04ad0f3a5e76",
    "urn:uuid:ec41f559-b8c4-48a6-9df1-6274d5965185",
    "urn:uuid:ec53c000-7589-4e23-86a7-e670b510905f",
    "urn:uuid:ec5695e9-5589-4bda-bdd1-786f7d96125c",
    "urn:uuid:ec9113bb-b878-409e-a9a3-73ae2ac1eaab",
    "urn:uuid:ec95f882-e96f-4231-99b7-8e9903ed60a8",
    "urn:uuid:ed082212-4450-43ff-be65-96e35fa3d058",
    "urn:uuid:ed1b2064-8ab4-4ffb-a2c6-a818e2b81c2d",
    "urn:uuid:edd7f89f-e056-451f-ad73-b5ff6144b48f",
    "urn:uuid:ee640353-55cc-42c2-9143-5dc6ddb0d74e",
    "urn:uuid:ee67ea84-09a6-429a-9539-9a7bdf49ef37",
    "urn:uuid:eecc1ebf-eaa6-4cf7-8236-131513de65d2",
    "urn:uuid:ef1131c2-08bf-4d12-92e8-b36397a1407f",
    "urn:uuid:ef60bda0-3f62-4112-9dfa-81af9938599d",
    "urn:uuid:efea2076-78f7-4fb4-8c9b-42f8bc2b9d1a",
    "urn:uuid:f0104c54-899b-429c-808b-f923ff1a7f81",
    "urn:uuid:f0166e21-db33-4458-b2e7-ed19c7f71ecb",
    "urn:uuid:f033ef18-bc06-41cd-99de-7d70e80ee200",
    "urn:uuid:f04b510e-b8bd-425c-8eb1-73dd541662f9",
    "urn:uuid:f05f6f83-0600-4f4e-951c-348c86414c39",
    "urn:uuid:f0e269d8-bae5-4032-9611-4e7c7b5f8518",
    "urn:uuid:f146a3dd-50b7-455b-a3a5-c0f3aff52fe9",
    "urn:uuid:f1871003-5561-4817-861b-c7259f0f4e9e",
    "urn:uuid:f1ac8fda-6f61-4308-a401-d899c91ace3f",
    "urn:uuid:f1bc887f-aba2-4c03-a6e1-1bd0892e42e5",
    "urn:uuid:f1d8e0c0-3496-4449-ac6f-acf05f78feee",
    "urn:uuid:f214d7a0-7106-43ff-bc0a-3801debd64c2",
    "urn:uuid:f279d758-ab16-4805-a63d-086d2d235785",
    "urn:uuid:f2fbd84b-a1e7-4739-a004-babb445170aa",
    "urn:uuid:f2fd5f2e-a289-4b81-842e-25df99d026cf",
    "urn:uuid:f307ef9a-a1cb-4747-9a3a-93f549e9f325",
    "urn:uuid:f311149d-8641-4993-b10c-1279d63e9f69",
    "urn:uuid:f37c195f-7103-4aa4-968c-6fbb8cd23223",
    "urn:uuid:f3d0516f-16c8-42bf-9b2d-e348d15f5539",
    "urn:uuid:f3f90259-d32d-41f1-9a3b-28ee65093e23",
    "urn:uuid:f410ba39-f137-4631-8236-e8799213561e",
    "urn:uuid:f43defde-548e-4e2b-8aa8-076312a3487d",
    "urn:uuid:f497b918-3708-409f-b659-4a96fef55088",
    "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13",
    "urn:uuid:f54dfdc2-da4c-4991-a744-ac989d49e9ea",
    "urn:uuid:f5be2df2-a716-470d-93b8-2043adf53100",
    "urn:uuid:f61ac22e-d472-4b48-a199-14591405deeb",
    "urn:uuid:f64cefe3-d339-4f0e-ae61-35c7b848b740",
    "urn:uuid:f6bfef51-6914-4e59-85f0-6ef326bbef9d",
    "urn:uuid:f72b5959-0f5c-4871-ad33-b1809f9920cb",
    "urn:uuid:f737cbbc-e965-4626-9dda-4d856c66b811",
    "urn:uuid:f7a3ed41-d4ca-42c5-91ea-dfc1a0dc4b7b",
    "urn:uuid:f807579a-57c3-403d-aada-e8bec3d29d6e",
    "urn:uuid:f867d1e9-f2d3-4090-965b-3f76f6179b36",
    "urn:uuid:f871eb88-c0a5-4b52-8d60-f5daef5ddef1",
    "urn:uuid:f91d641b-1b8e-4482-9b47-7180cea2ef53",
    "urn:uuid:f99d2218-e64e-42aa-ac15-b1adf3fb020d",
    "urn:uuid:f9e4f49c-fba8-4cc3-8560-b5dadb3c85b2",
    "urn:uuid:fa2ca729-0b3e-4cc8-8d07-b3c46fd2db3f",
    "urn:uuid:fa326fe3-78cc-44bb-94ae-3aac6356d8e4",
    "urn:uuid:fa3d2ab8-a4c9-4465-af9e-abe1be4c093d",
    "urn:uuid:fab6468b-8179-4027-92d5-5cb6648106f9",
    "urn:uuid:fb37442e-a89f-4d2d-be7e-93cacc21a726",
    "urn:uuid:fbc344e8-0790-492c-b854-78bb211050ff",
    "urn:uuid:fbc5dab1-019e-483b-ba02-749641eeca97",
    "urn:uuid:fbccb3cc-baae-4284-a87f-3eb0e06d6070",
    "urn:uuid:fc0ae0df-4043-4beb-be49-1664bb2bfb3c",
    "urn:uuid:fc7ee2f4-4b46-4d4c-9f66-cdc82f1fb7ec",
    "urn:uuid:fcfb759a-7e9c-4fdf-aafb-dc2c25046515",
    "urn:uuid:fd3ec660-2fd6-44c1-9079-3606dad2ac73",
    "urn:uuid:fd5c405e-c47e-4504-8fe9-fd9eaa0ea089",
    "urn:uuid:fdb013fe-7377-4518-9301-f74c3a834eca",
    "urn:uuid:fdc31736-bf4c-4021-8259-dc9238e311cc",
    "urn:uuid:fe4e122c-475a-40c8-9152-313db9f50745",
    "urn:uuid:fe80fb2d-f836-47e5-9297-3c634d6df6af",
    "urn:uuid:fe88d3de-93f7-4d30-842e-252bfa61c2ec",
    "urn:uuid:fe8f24c1-1db7-4f49-8858-a645d47c4c7f",
    "urn:uuid:fea39ea6-6745-42be-a5cf-5ad1ad507793",
    "urn:uuid:fec421d2-e46d-4258-acc3-ef2dfb231874",
    "urn:uuid:fee87ca7-4cd9-4a1f-ab6b-9f29f4e871d4",
    "urn:uuid:fef8514e-8fc7-492e-b6ff-ed8d15f79734",
    "urn:uuid:ff25d777-490f-4ae6-b7f9-2071832df195",
    "urn:uuid:ff7730a6-70b3-41c7-82df-49ecbed5b2ad",
    "urn:uuid:ff9a93aa-d509-45d6-9110-f7207970069a",
    "urn:uuid:ff9f20ff-7034-4ebd-b37a-fa0a5de1c451",
    "urn:uuid:ffc34fd9-952c-491c-a016-5b629c2b2135"
  ],
  "reverse_sources": {
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-01/en/03-unitary-group-representations.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-01/zh/03-unitary-group-representations.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-02/en/01-some-representation-theory.md": [
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-02/en/03-the-charge-operator.md": [
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-02/zh/01-some-representation-theory.md": [
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-02/zh/03-the-charge-operator.md": [
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-04/en/06-orthogonal-and-unitary-transformations.md": [
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-04/zh/06-orthogonal-and-unitary-transformations.md": [
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/en/01-lie-algebras.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/en/02-lie-algebras-of-the-orthogonal-and-unitary-groups.md": [
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/en/03-a-summary.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/en/04-lie-algebra-representations.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/en/05-complexification.md": [
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/en/06-for-further-reading.md": [
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/zh/01-lie-algebras.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/zh/02-lie-algebras-of-the-orthogonal-and-unitary-groups.md": [
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/zh/03-a-summary.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/zh/04-lie-algebra-representations.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/zh/05-complexification.md": [
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-05/zh/06-for-further-reading.md": [
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-06/en/01-the-rotation-group-in-three-dimensions.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-06/en/02-spin-groups-in-three-and-four-dimensions.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:475077c6-8a0d-4954-9883-ba29330925d3",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:bed044e3-0bd6-48d8-8aab-253bd7096faa"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-06/en/07-a-summary.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-06/zh/01-the-rotation-group-in-three-dimensions.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-06/zh/02-spin-groups-in-three-and-four-dimensions.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:475077c6-8a0d-4954-9883-ba29330925d3",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:bed044e3-0bd6-48d8-8aab-253bd7096faa"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-06/zh/07-a-summary.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-07/en/01-the-spinor-representation.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-07/en/02-the-spin-half-particle-in-a-magnetic-field.md": [
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-07/en/03-the-heisenberg-picture.md": [
      "urn:uuid:4794ccb8-5d3f-4284-bb16-afe34bfa3d67"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-07/zh/01-the-spinor-representation.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-07/zh/02-the-spin-half-particle-in-a-magnetic-field.md": [
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-07/zh/03-the-heisenberg-picture.md": [
      "urn:uuid:4794ccb8-5d3f-4284-bb16-afe34bfa3d67"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-13/en/01-the-heisenberg-lie-algebra.md": [
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-13/zh/01-the-heisenberg-lie-algebra.md": [
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-15/en/03-group-actions-on-m-and-the-moment-map.md": [
      "urn:uuid:4b3c4f61-3c9d-4308-b4d4-ed0cb6e26fa4"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-15/zh/03-group-actions-on-m-and-the-moment-map.md": [
      "urn:uuid:4b3c4f61-3c9d-4308-b4d4-ed0cb6e26fa4"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-16/en/01-the-symplectic-group.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-16/en/04-the-symplectic-group-and-automorphisms-of-the-heisenberg-group.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-16/zh/01-the-symplectic-group.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-16/zh/04-the-symplectic-group-and-automorphisms-of-the-heisenberg-group.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-23/en/01-coherent-states-and-the-heisenberg-group-action.md": [
      "urn:uuid:22c1f4e6-3a65-4868-8d58-dde99c2cea9a"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-23/zh/01-coherent-states-and-the-heisenberg-group-action.md": [
      "urn:uuid:22c1f4e6-3a65-4868-8d58-dde99c2cea9a"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-25/en/01-multiple-degrees-of-freedom.md": [
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-25/zh/01-multiple-degrees-of-freedom.md": [
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-29/en/02-cliford-algebras-and-geometry.md": [
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-29/zh/02-cliford-algebras-and-geometry.md": [
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-30/en/01-the-grassmann-algebra-of-polynomials-on-anticommuting-generators.md": [
      "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-30/zh/01-the-grassmann-algebra-of-polynomials-on-anticommuting-generators.md": [
      "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-33/en/03-supersymmetric-quantum-mechanics-and-diferential-forms.md": [
      "urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-33/zh/03-supersymmetric-quantum-mechanics-and-diferential-forms.md": [
      "urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-34/en/01-the-pauli-schr-odinger-equation-and-free-spin-1-2-particles-in-d-3.md": [
      "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-34/en/02-solutions-of-the-pauli-equation-and-representations-of-e-3.md": [
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-34/en/04-the-dirac-operator.md": [
      "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-34/zh/01-the-pauli-schr-odinger-equation-and-free-spin-1-2-particles-in-d-3.md": [
      "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-34/zh/02-solutions-of-the-pauli-equation-and-representations-of-e-3.md": [
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-34/zh/04-the-dirac-operator.md": [
      "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-35/en/01-lagrangian-mechanics.md": [
      "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8",
      "urn:uuid:9ab99bcf-0f4e-4b96-bafa-fc34e2cb40de"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-35/en/03-quantization-and-path-integrals.md": [
      "urn:uuid:68eedf23-0c59-42f4-84e4-dee129e2d813",
      "urn:uuid:d8842a51-427e-436c-8476-372fb5a37bfd"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-35/zh/01-lagrangian-mechanics.md": [
      "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8",
      "urn:uuid:9ab99bcf-0f4e-4b96-bafa-fc34e2cb40de"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-35/zh/03-quantization-and-path-integrals.md": [
      "urn:uuid:68eedf23-0c59-42f4-84e4-dee129e2d813",
      "urn:uuid:d8842a51-427e-436c-8476-372fb5a37bfd"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-38/en/05-spatial-symmetries.md": [
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-38/en/09-fermionic-fields.md": [
      "urn:uuid:b087a1f3-81a9-4c70-a5b6-29950378bdd0"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-38/zh/05-spatial-symmetries.md": [
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-38/zh/09-fermionic-fields.md": [
      "urn:uuid:b087a1f3-81a9-4c70-a5b6-29950378bdd0"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-40/en/02-the-lorentz-group-and-its-lie-algebra.md": [
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-40/zh/02-the-lorentz-group-and-its-lie-algebra.md": [
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-47/en/05-weyl-spinors.md": [
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "authority:book/books/woit-qtgr/2025-10-20/sources/chapter-47/zh/05-weyl-spinors.md": [
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "authority:book/sources/chapter-01/en/03-products-and-relations.md": [
      "urn:uuid:8634dc6a-08e3-49e9-941d-590b27f88cfe",
      "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601"
    ],
    "authority:book/sources/chapter-01/en/06-structures.md": [
      "urn:uuid:94ed061d-4936-4c6b-81d0-953dbc6bdb3d"
    ],
    "authority:book/sources/chapter-01/zh/03-products-and-relations.md": [
      "urn:uuid:8634dc6a-08e3-49e9-941d-590b27f88cfe",
      "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601"
    ],
    "authority:book/sources/chapter-01/zh/06-structures.md": [
      "urn:uuid:94ed061d-4936-4c6b-81d0-953dbc6bdb3d"
    ],
    "authority:book/sources/chapter-02/en/01-elements-of-group-theory.md": [
      "urn:uuid:e6dd2937-0598-4aa9-bbf2-317c9e35c0e6",
      "urn:uuid:f7a3ed41-d4ca-42c5-91ea-dfc1a0dc4b7b"
    ],
    "authority:book/sources/chapter-02/en/03-matrix-groups.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:45d0c13b-cde3-424f-8e70-a8c56a307519",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/sources/chapter-02/en/04-homomorphisms-and-isomorphisms.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00"
    ],
    "authority:book/sources/chapter-02/en/05-normal-subgroups-and-factor-groups.md": [
      "urn:uuid:34d7ee62-cceb-462f-a9c9-8307ed5c5244",
      "urn:uuid:dbf8f503-ae98-47ba-af2c-59f26dab3447"
    ],
    "authority:book/sources/chapter-02/en/07-symmetry-groups.md": [
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "authority:book/sources/chapter-02/zh/03-matrix-groups.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:45d0c13b-cde3-424f-8e70-a8c56a307519",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "authority:book/sources/chapter-02/zh/04-homomorphisms-and-isomorphisms.md": [
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00"
    ],
    "authority:book/sources/chapter-02/zh/05-normal-subgroups-and-factor-groups.md": [
      "urn:uuid:34d7ee62-cceb-462f-a9c9-8307ed5c5244",
      "urn:uuid:dbf8f503-ae98-47ba-af2c-59f26dab3447"
    ],
    "authority:book/sources/chapter-02/zh/07-symmetry-groups.md": [
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "authority:book/sources/chapter-04/en/04-introduction-to-group-representation-theory.md": [
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0"
    ],
    "authority:book/sources/chapter-04/zh/04-introduction-to-group-representation-theory.md": [
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0"
    ],
    "authority:book/sources/chapter-05/en/03-representations-of-finite-groups.md": [
      "urn:uuid:c75b3404-beda-4f83-b6ce-b1d83e5669ad"
    ],
    "authority:book/sources/chapter-05/zh/03-representations-of-finite-groups.md": [
      "urn:uuid:c75b3404-beda-4f83-b6ce-b1d83e5669ad"
    ],
    "authority:book/sources/chapter-06/en/04-grassmann-algebras.md": [
      "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765"
    ],
    "authority:book/sources/chapter-06/en/05-lie-algebras-and-lie-groups.md": [
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/sources/chapter-06/zh/04-grassmann-algebras.md": [
      "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765"
    ],
    "authority:book/sources/chapter-06/zh/05-lie-algebras-and-lie-groups.md": [
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "authority:book/sources/chapter-07/en/04-operations-on-tensors.md": [
      "urn:uuid:3a5b55ef-0814-48af-910a-8879b536855b"
    ],
    "authority:book/sources/chapter-07/zh/04-operations-on-tensors.md": [
      "urn:uuid:3a5b55ef-0814-48af-910a-8879b536855b"
    ],
    "authority:book/sources/chapter-13/en/04-bounded-linear-operators.md": [
      "urn:uuid:bdb7f779-f3cc-47cb-8adf-77956a39f0d4"
    ],
    "authority:book/sources/chapter-13/zh/04-bounded-linear-operators.md": [
      "urn:uuid:bdb7f779-f3cc-47cb-8adf-77956a39f0d4"
    ],
    "authority:book/sources/chapter-15/en/05-commutators-flows-and-lie-derivatives.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036"
    ],
    "authority:book/sources/chapter-15/zh/05-commutators-flows-and-lie-derivatives.md": [
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036"
    ],
    "authority:book/sources/chapter-16/en/05-classical-mechanics.md": [
      "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8"
    ],
    "authority:book/sources/chapter-16/zh/05-classical-mechanics.md": [
      "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8"
    ],
    "authority:book/sources/chapter-17/en/04-homology-and-cohomology.md": [
      "urn:uuid:02f7a498-5c17-4366-9479-8666d5f9bb2e",
      "urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981",
      "urn:uuid:8edfdb84-325b-48e9-8526-006d8053914f"
    ],
    "authority:book/sources/chapter-17/zh/04-homology-and-cohomology.md": [
      "urn:uuid:02f7a498-5c17-4366-9479-8666d5f9bb2e"
    ],
    "authority:book/sources/chapter-19/en/04-lie-groups-of-transformations.md": [
      "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa"
    ],
    "authority:book/sources/chapter-19/zh/04-lie-groups-of-transformations.md": [
      "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-01/03-unitary-group-representations.md": [
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:be2d8436-d3dc-4871-a029-122366c0f690",
      "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-01/04-representations-and-quantum-mechanics.md": [
      "urn:uuid:928ab6a9-7e9a-4beb-adff-65f984589c86",
      "urn:uuid:9f2dec8c-99ca-42d9-be8f-4f6c039a058a",
      "urn:uuid:b4e48583-4b04-48fc-83d8-e77fc248bcb3",
      "urn:uuid:e4e5b10c-e0be-4e54-aaa6-8ba7699dc29d"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-01/05-groups-and-symmetries.md": [
      "urn:uuid:126c82d1-85b0-4175-af2f-9d01a27e0e2e"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-01/06-for-further-reading.md": [
      "urn:uuid:3c247d87-47d1-44a1-8de6-205f195cc69e"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-02/01-some-representation-theory.md": [
      "urn:uuid:023d3b84-da9a-4667-8674-d5b9ccbed948",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:f2fbd84b-a1e7-4739-a004-babb445170aa"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-02/02-the-group-u-1-and-its-representations.md": [
      "urn:uuid:098437c0-f74c-41ec-82b2-7cdffbbe6feb",
      "urn:uuid:73e79877-a4cc-4221-bbef-694fec4c9a8b",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-02/03-the-charge-operator.md": [
      "urn:uuid:52a09bf2-6b64-4f64-8d17-cb50a2c294d5",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-03/01-the-two-state-quantum-system.md": [
      "urn:uuid:794a1dd4-a2a7-4f6d-9697-5fa32e00a8b4",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-03/02-commutation-relations-for-pauli-matrices.md": [
      "urn:uuid:02db5117-4ecf-4ac2-9cd8-bf87eb334922",
      "urn:uuid:1a15b2f0-5129-43ae-a79b-291a51fb196e",
      "urn:uuid:462a2e50-08b0-4eca-b51b-5b957df943b1",
      "urn:uuid:c1d46382-437d-4926-a7fd-d9d0cd36a531"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system.md": [
      "urn:uuid:58e62b67-5cb1-4463-a967-c506506fb472",
      "urn:uuid:8138ecc5-6158-4786-afec-925599c67b25",
      "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
      "urn:uuid:a7971b9e-8f7b-49a0-a412-0ae28a65c35b",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093",
      "urn:uuid:b0f1cb61-5cdc-49df-9d91-612c9a805bc9",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:d550361c-735c-491e-afba-556b6f658c73"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-03/04-for-further-reading.md": [
      "urn:uuid:60143061-9c32-4555-8fdc-847e68ce8f16",
      "urn:uuid:794a1dd4-a2a7-4f6d-9697-5fa32e00a8b4"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-03/index.md": [
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-04/01-vector-spaces-and-linear-maps.md": [
      "urn:uuid:39428ebb-bc71-4f72-9ebe-c940f88d9879",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-04/02-dual-vector-spaces.md": [
      "urn:uuid:07fed5dc-6aa1-4ef6-a20a-58fa52a971f7",
      "urn:uuid:4ae0743e-27f5-4211-ba73-7671ebc0738a",
      "urn:uuid:842e3529-eaac-49b5-977c-78c9ea84570c",
      "urn:uuid:d6eb757d-a21e-4186-8ccf-544d77c8e86d"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-04/04-inner-products.md": [
      "urn:uuid:424805ab-e734-4973-9608-07892429420f",
      "urn:uuid:4f5f10c1-2f69-4e89-8fab-84a7f7a3061b",
      "urn:uuid:60808942-4f7a-44c9-85de-4b3cf47ec7dd",
      "urn:uuid:68b6758f-5f71-444b-8fa4-ff25e8ccdd6b",
      "urn:uuid:897523c4-d8fb-48f8-8a4c-e059d6fb978b",
      "urn:uuid:89b660bc-0d4b-4aad-8a17-de594b19d0dc",
      "urn:uuid:a3fbacd4-6311-47d0-ba10-1410d55788ce",
      "urn:uuid:a461cea2-cf70-40b2-957b-c1532889d160",
      "urn:uuid:d6f7741c-ea42-487e-baff-0067243d1990",
      "urn:uuid:d95ce073-6aab-466d-b054-0bca851e5160"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-04/05-adjoint-operators.md": [
      "urn:uuid:b4e48583-4b04-48fc-83d8-e77fc248bcb3",
      "urn:uuid:d5f9da17-e94f-479d-90f0-7732d12ee03a",
      "urn:uuid:f410ba39-f137-4631-8236-e8799213561e"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-04/06-orthogonal-and-unitary-transformations.md": [
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-04/07-eigenvalues-and-eigenvectors.md": [
      "urn:uuid:4c5b32a9-4d9f-4f2b-804a-12c487399d39"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-05/01-lie-algebras.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-05/02-lie-algebras-of-the-orthogonal-and-unitary-groups.md": [
      "urn:uuid:148db081-5c2b-45dd-af71-83e4ce4fdcc0",
      "urn:uuid:20de28a4-da1e-4c03-9e2c-3e13cb0ba553",
      "urn:uuid:2b8f1e0e-bfcc-4391-ace1-5809a76204e3",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:a01fd2ec-aa2f-4e7e-97c8-4893afca62b3",
      "urn:uuid:a7988952-2738-40a2-aedf-6fb49ac99800",
      "urn:uuid:b4e48583-4b04-48fc-83d8-e77fc248bcb3",
      "urn:uuid:fef8514e-8fc7-492e-b6ff-ed8d15f79734"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-05/03-a-summary.md": [
      "urn:uuid:2b8f1e0e-bfcc-4391-ace1-5809a76204e3",
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:5a7c372b-6b23-4115-8129-84b5fad3a591",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-05/04-lie-algebra-representations.md": [
      "urn:uuid:05d312b4-8c04-40c4-a051-d508a402b79f",
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:28a435be-ede9-40fc-a9b2-f7175d5b3159",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:6fade234-ce94-46a5-9add-2908ca7b39e8",
      "urn:uuid:87107086-71e4-4b8b-899e-10c24486072b",
      "urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7",
      "urn:uuid:b4e48583-4b04-48fc-83d8-e77fc248bcb3",
      "urn:uuid:d06a0f44-cd99-4902-bac1-36de0284c944",
      "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa",
      "urn:uuid:de96cc1a-7377-4476-ac03-e569f8b5166f",
      "urn:uuid:f0166e21-db33-4458-b2e7-ed19c7f71ecb"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-05/05-complexification.md": [
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc",
      "urn:uuid:eaa8baed-19fe-4db6-a610-2a84829b114d"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-05/06-for-further-reading.md": [
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-06/01-the-rotation-group-in-three-dimensions.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:27cc7d1e-96c7-4375-9829-61dfc96bc2bf",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:462a2e50-08b0-4eca-b51b-5b957df943b1",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:7e3b88ac-3d0c-45bd-82d8-090fd0c22b05",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:9217da23-ed1d-4016-b7e9-9a1d7c04a546",
      "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:a10b148f-7a19-4720-b9bc-78e287270624",
      "urn:uuid:c2c3d648-ab4b-4df7-9d8d-de852327c911",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-06/02-spin-groups-in-three-and-four-dimensions.md": [
      "urn:uuid:004c393d-b3c2-4027-957a-d8cea3b92491",
      "urn:uuid:02cfe956-6666-4db6-bee4-19ea46011cfe",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:475077c6-8a0d-4954-9883-ba29330925d3",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:5de2ca26-d059-42fc-9ea3-2beff8196917",
      "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:ae1bcb94-1f25-4368-964c-45608e89016b",
      "urn:uuid:bed044e3-0bd6-48d8-8aab-253bd7096faa",
      "urn:uuid:d3626907-41e1-4ef2-bc68-2d2efdec0b42",
      "urn:uuid:e65c3c65-ec76-4453-8b9d-7512c5748f13",
      "urn:uuid:e975605a-7577-4615-b024-f78011266eb4"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-06/07-a-summary.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:1afbc47e-4026-42fb-a8c1-d2b6a02638c4",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:6800cca5-05b3-4571-9b98-979ca6c8a5c1",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:7fc5999a-3153-495e-a9e4-6e2fa4b35466",
      "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:8d16bffc-ce2e-49f4-9683-6eabeb80e54b",
      "urn:uuid:9217da23-ed1d-4016-b7e9-9a1d7c04a546",
      "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093",
      "urn:uuid:d3626907-41e1-4ef2-bc68-2d2efdec0b42",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-06/08-for-further-reading.md": [
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-07/01-the-spinor-representation.md": [
      "urn:uuid:004c393d-b3c2-4027-957a-d8cea3b92491",
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:0c8937be-5b52-431f-a556-31c2c5f610f0",
      "urn:uuid:1afbc47e-4026-42fb-a8c1-d2b6a02638c4",
      "urn:uuid:38ecd601-9467-4080-844c-8b76816d3b95",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:c8c7bd36-41d4-4cd0-9c52-68d1e458bf59",
      "urn:uuid:eb527126-d5d0-417c-a57e-1131e5b8f893"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-07/02-the-spin-half-particle-in-a-magnetic-field.md": [
      "urn:uuid:11dadb93-ef2f-42cf-8af0-06fe4fd7b18f",
      "urn:uuid:13e70843-34ca-4e4e-9bc3-d336dbb4c734",
      "urn:uuid:17282fd6-0595-40df-a266-9ec044b18a12",
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:2acc1cb3-ebc4-4dc0-9fae-65f247a55564",
      "urn:uuid:3e11a671-c004-44f2-8d6e-bf7933e08bbb",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:5045f4bb-0f7d-4132-988c-c49d734a1587",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:60143061-9c32-4555-8fdc-847e68ce8f16",
      "urn:uuid:6bb96444-d087-4f5c-8398-4f3dc18cac96",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:8138ecc5-6158-4786-afec-925599c67b25",
      "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
      "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
      "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:9c252b25-011e-4b3d-8bf1-b54966fe2881",
      "urn:uuid:d07b8252-8aa0-41c2-a5b3-a8bec45db852",
      "urn:uuid:d550361c-735c-491e-afba-556b6f658c73"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-07/03-the-heisenberg-picture.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786",
      "urn:uuid:4794ccb8-5d3f-4284-bb16-afe34bfa3d67",
      "urn:uuid:57eeacec-5920-4133-83e9-8b4cd48bf759",
      "urn:uuid:6bb96444-d087-4f5c-8398-4f3dc18cac96",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
      "urn:uuid:87fd3d74-b7dd-4de8-af55-08545b8f224c",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:e88f7c38-759c-4f05-b600-5d36503375fd",
      "urn:uuid:f9e4f49c-fba8-4cc3-8560-b5dadb3c85b2"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-07/04-complex-projective-space.md": [
      "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:4702877e-2ad4-4875-8a27-ef99339c8553",
      "urn:uuid:57eeacec-5920-4133-83e9-8b4cd48bf759",
      "urn:uuid:6328536c-e4a4-4277-b275-0a8a7146d152",
      "urn:uuid:6b78393e-3876-49d3-b82b-3dd0d4ff3b21",
      "urn:uuid:6bb96444-d087-4f5c-8398-4f3dc18cac96",
      "urn:uuid:75e9bd12-9b58-4080-8f6c-d42cdf594c77",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:9bd75d12-0eb0-4d97-ab55-23361589bdab",
      "urn:uuid:b6e6358a-67f2-4f17-abe3-6047c1590084",
      "urn:uuid:bf25e16b-0efc-4514-88b9-3e7aa54578a2",
      "urn:uuid:c2119140-62f5-42ca-b162-fd313d43319e",
      "urn:uuid:ce618650-9f53-49e2-ab6f-718ffe06a89e",
      "urn:uuid:cfc2af7a-6467-42cb-8699-52bf30033870",
      "urn:uuid:e663b5dd-c1fb-4282-b563-3b00795ebad3"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-07/05-the-bloch-sphere.md": [
      "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:346db9a3-44c0-42d4-beda-f834200ff290",
      "urn:uuid:3f43164d-2e69-4cc9-98b5-60fdc5e6f434",
      "urn:uuid:424805ab-e734-4973-9608-07892429420f",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:91a7526b-ab87-4e11-b9c7-913c316d0cef",
      "urn:uuid:9dc809a9-95f3-4c45-bb82-06dd391d1f6b",
      "urn:uuid:d2a66ef7-e632-4029-9ec0-07c29ee32e68",
      "urn:uuid:dabe32db-8d84-4c17-9eeb-583f0609a265"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-08/01-representations-of-su2-classification.md": [
      "urn:uuid:6187bb71-d6f3-4a7c-8765-9320aafd36ad",
      "urn:uuid:7e89ae8a-6618-4d20-a433-6d3840e1eda5",
      "urn:uuid:983a40d9-c3f5-4be7-bca7-0561ba9fab62",
      "urn:uuid:b2fa8d60-7325-4e2d-b009-3aea4de3c3c6",
      "urn:uuid:d814193b-cdfb-47f7-bda5-f218747ec2c0"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-08/04-representations-of-su2-construction.md": [
      "urn:uuid:fbc5dab1-019e-483b-ba02-749641eeca97"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-09/03-indecomposable-vectors-and-entanglement.md": [
      "urn:uuid:0e2b3187-27c9-43e4-998b-30db8c236b8a",
      "urn:uuid:1eff654d-4586-46ff-b65d-12fcb385b4ae"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-09/04-tensor-products-of-representations.md": [
      "urn:uuid:325a50ce-fadc-478e-9816-feb8f2a6af8d",
      "urn:uuid:3ca9ee3c-aa64-49a8-8eac-e4e9fdde1f33",
      "urn:uuid:58f1c3d5-9aa5-45b5-b01b-8f998de65e40",
      "urn:uuid:69b28db8-59b4-4cec-a6a3-1770de5f7384"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-09/08-bilinear-forms-and-tensor-products.md": [
      "urn:uuid:2733ca54-c706-432a-b96d-195c3a4e7fb4"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-10/02-translations-in-time-and-space.md": [
      "urn:uuid:87bf0817-1c0e-449a-aab5-70e73e7d9c72"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-11/01-periodic-boundary-conditions-and-the-group-u-1.md": [
      "urn:uuid:b731fa52-a18c-41d3-b817-67eb77e84ee3"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-11/02-the-group-r-and-the-fourier-transform.md": [
      "urn:uuid:0b8e66a2-7e78-4510-8c4c-61afabaae089",
      "urn:uuid:9108ce8e-1818-467c-a25f-8675415492dd",
      "urn:uuid:b4b2ccab-421f-4d85-afd2-a2f92d03737e"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-12/01-the-position-operator.md": [
      "urn:uuid:05d69eba-f971-4eda-9264-d2a2b9cb71b1"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-12/04-heisenberg-uncertainty.md": [
      "urn:uuid:f1d8e0c0-3496-4449-ac6f-acf05f78feee"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-12/05-the-propagator-in-position-space.md": [
      "urn:uuid:6c13c2cf-973e-4abf-8173-dd90eaf57938"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-12/06-propagators-in-frequency-momentum-space.md": [
      "urn:uuid:f1ac8fda-6f61-4308-a401-d899c91ace3f"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-13/01-the-heisenberg-lie-algebra.md": [
      "urn:uuid:7403436a-1d4b-471f-8d7c-af1c5f055118",
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-13/02-the-heisenberg-group.md": [
      "urn:uuid:2114b0de-b7cd-4083-b0b5-884f1b96c3e0",
      "urn:uuid:443f3561-4bb5-4d5b-b021-e674d7a47664"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-13/03-the-schr-odinger-representation.md": [
      "urn:uuid:0bec019e-a424-4b09-b588-ac9e80189f9b",
      "urn:uuid:561e07f8-1c49-4700-b0af-4df4cf5ee94c",
      "urn:uuid:c2dfd358-353e-4ba7-8774-c693c50cba5f"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-14/01-classical-mechanics-and-the-poisson-bracket.md": [
      "urn:uuid:d2b35bcc-bfd9-4e7f-b308-727751f98a08"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-14/03-symplectic-geometry.md": [
      "urn:uuid:d48ed7ff-3ca1-404d-9e8e-9c302f532e74"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-15/01-vector-fields-and-the-exponential-map.md": [
      "urn:uuid:7d6e05ef-910c-49a8-aebb-ba22dd99946c"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-15/02-hamiltonian-vector-fields-and-canonical-transformations.md": [
      "urn:uuid:bd322781-a622-431f-a000-1be56b3c37e1"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-15/03-group-actions-on-m-and-the-moment-map.md": [
      "urn:uuid:4b3c4f61-3c9d-4308-b4d4-ed0cb6e26fa4",
      "urn:uuid:d52824fa-00d0-496c-84fb-ac2c9c371196"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-16/01-the-symplectic-group.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:5d7e6d90-8fc4-4b2f-a97b-04bab6ff6e19",
      "urn:uuid:9bd75d12-0eb0-4d97-ab55-23361589bdab",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:9d1874b8-6c8c-465e-849a-f2ddc348d3d0",
      "urn:uuid:d06a0f44-cd99-4902-bac1-36de0284c944"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-16/04-the-symplectic-group-and-automorphisms-of-the-heisenberg-group.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:0ee9d2e9-d61c-4c92-90bc-0c305f648a98",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:4702877e-2ad4-4875-8a27-ef99339c8553",
      "urn:uuid:54afd32d-e7ca-47b4-b23f-1277bda066e2",
      "urn:uuid:5bd96f47-f41c-4ba5-86a0-0d8cb192c94b"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-16/07-the-case-of-arbitrary-d.md": [
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-16/index.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354",
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-17/02-the-groenewold-van-hove-no-go-theorem.md": [
      "urn:uuid:74ae58d7-65e0-4725-947a-20d3cf498508"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-18/01-an-example-the-euclidean-group.md": [
      "urn:uuid:24e2efa3-553e-461a-9117-448a9406db0f"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-18/02-semi-direct-product-groups.md": [
      "urn:uuid:3518e444-803d-459b-bd0c-654aa486613e",
      "urn:uuid:f033ef18-bc06-41cd-99de-7d70e80ee200"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-18/03-semi-direct-product-lie-algebras.md": [
      "urn:uuid:6da2baae-8135-47ae-aa6b-d70da67ce130"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-20/01-intertwining-operators-and-the-metaplectic-representation.md": [
      "urn:uuid:a6bac404-ae9c-41fe-b818-5b13db52a897"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-20/08-representations-of-nk-n-commutative.md": [
      "urn:uuid:7b6409db-7dda-4ee3-8d42-80d4ba31d7de",
      "urn:uuid:fbccb3cc-baae-4284-a87f-3eb0e06d6070"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-21/02-so-4-symmetry-and-the-coulomb-potential.md": [
      "urn:uuid:93db54df-1884-4aa0-bba4-11221ec183a6"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-22/03-the-bargmann-fock-representation.md": [
      "urn:uuid:676173e7-6104-41f9-b2f2-95d235a3a95c"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-23/01-coherent-states-and-the-heisenberg-group-action.md": [
      "urn:uuid:22c1f4e6-3a65-4868-8d58-dde99c2cea9a"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-23/08-the-bargmann-transform.md": [
      "urn:uuid:5412c8ef-53d3-42d8-b6f9-d39220aff942"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-24/01-the-metaplectic-representation-for-d-1-in-terms-of-a-and-a.md": [
      "urn:uuid:c38865ab-fa4a-4617-809e-1d99d66a3793"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-24/03-implications-of-the-choice-of-z-z.md": [
      "urn:uuid:5c130474-2e54-4ec8-9a3e-2355428ac1d1"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-25/01-multiple-degrees-of-freedom.md": [
      "urn:uuid:3547e89d-df9b-4a7a-9f78-22fe3f20a50b",
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-25/03-the-metaplectic-representation-and-u-d-sp-2d-r.md": [
      "urn:uuid:004c393d-b3c2-4027-957a-d8cea3b92491"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-25/04-examples-in-d-2-and-3.md": [
      "urn:uuid:22d066f1-dd17-450c-8457-1f856104d052"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-25/07-normal-ordering-and-the-anomaly-in-finite-dimensions.md": [
      "urn:uuid:d52824fa-00d0-496c-84fb-ac2c9c371196"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-25/index.md": [
      "urn:uuid:43457138-2721-4162-870f-85006ba3e6be",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:74059dab-b498-4887-9978-fad6081fc63d",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:eb959135-fcc2-4572-a09a-1267ad1e544c"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-26/01-complex-structures-and-phase-space.md": [
      "urn:uuid:9e862121-659d-4ec4-8d9f-204bdd709d9f"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-26/02-compatible-complex-structures-and-positivity.md": [
      "urn:uuid:7fff60d8-e117-481c-81fb-4b5b167c4d31",
      "urn:uuid:8ba0c8f9-deb3-4652-aedf-98f9fda4a22e",
      "urn:uuid:a584147f-8858-4fc2-a721-a9db0b16bf71"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-26/04-complex-vector-spaces-with-hermitian-inner-product-as-phase-spaces.md": [
      "urn:uuid:b001334e-e824-4a5a-bc84-8b3ba855aebf"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-26/05-complex-structures-for-d-1-and-squeezed-states.md": [
      "urn:uuid:8d9cedbe-155f-47e3-b48e-edf05ba7b6ed"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-26/06-complex-structures-and-bargmann-fock-quantization-for-arbitrary-d.md": [
      "urn:uuid:43457138-2721-4162-870f-85006ba3e6be",
      "urn:uuid:e725ddcb-6d23-450c-be5a-8ec98d7f307b"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-26/index.md": [
      "urn:uuid:9e862121-659d-4ec4-8d9f-204bdd709d9f"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-27/01-canonical-anticommutation-relations-and-the-fermionic-oscillator.md": [
      "urn:uuid:5e0b82c6-1611-4f91-b552-11bab1c32916",
      "urn:uuid:cccda163-e46e-4720-b300-e3ed738bb1e8"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-27/02-multiple-degrees-of-freedom.md": [
      "urn:uuid:89b2c869-2305-4cc2-8424-af0fde56c114"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-27/index.md": [
      "urn:uuid:705ab9c3-10fa-403c-8827-2b2f9368f751"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-28/01-the-complex-weyl-and-cliford-algebras.md": [
      "urn:uuid:280d509b-0425-4ad3-8a7d-aa0b795679ac",
      "urn:uuid:33849610-9088-454e-a11d-ba3188cc7663",
      "urn:uuid:7e2e6da6-b92e-45a5-b490-c11370b027b4",
      "urn:uuid:f05f6f83-0600-4f4e-951c-348c86414c39"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-28/05-real-cliford-algebras.md": [
      "urn:uuid:0e4afba4-5ba4-439a-b77b-cd49f88c44f3",
      "urn:uuid:1975f833-3088-44ad-97dd-6f1f7cf97583"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-29/01-non-degenerate-bilinear-forms.md": [
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:f99d2218-e64e-42aa-ac15-b1adf3fb020d"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-29/02-cliford-algebras-and-geometry.md": [
      "urn:uuid:3057bc98-1560-4f68-971f-f741195b6499",
      "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021",
      "urn:uuid:9445e0c4-8ed1-4567-844b-c66f13045539",
      "urn:uuid:ec5695e9-5589-4bda-bdd1-786f7d96125c"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-30/01-the-grassmann-algebra-of-polynomials-on-anticommuting-generators.md": [
      "urn:uuid:05169104-3155-481a-ad02-24789d58afd7",
      "urn:uuid:078de077-8b79-46b3-8955-b2642c83034f",
      "urn:uuid:168b04d1-9b02-428a-b637-0ce8914e7384",
      "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-30/02-pseudo-classical-mechanics-and-the-fermionic-poisson-bracket.md": [
      "urn:uuid:05c92274-bda7-4225-b24d-846ec64b2dbc",
      "urn:uuid:0bec1410-0ea3-4aa7-a217-f21c439ebd4a",
      "urn:uuid:3b4db342-d792-4a76-bd33-37c7ca43c704",
      "urn:uuid:5c0010c3-e567-45b1-926e-91dd0363f528"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-31/01-quantization-of-pseudo-classical-systems.md": [
      "urn:uuid:c45f5876-ea6e-409e-b221-625213a50b9f"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-31/03-the-schr-odinger-representation-for-fermions-ghosts.md": [
      "urn:uuid:16e15429-a004-4dab-a343-1d520139d5ff"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-31/04-spinors-and-the-bargmann-fock-construction.md": [
      "urn:uuid:7e960f07-0efa-4408-a191-ffe41c9395fe",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:9d30f001-86e0-4e06-9631-c199d9cc5ae4"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-31/05-complex-structures-u-d-so-2-d-and-the-spinor-representation.md": [
      "urn:uuid:9e862121-659d-4ec4-8d9f-204bdd709d9f"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-32/index.md": [
      "urn:uuid:05c92274-bda7-4225-b24d-846ec64b2dbc",
      "urn:uuid:33849610-9088-454e-a11d-ba3188cc7663",
      "urn:uuid:38dc6df0-5043-4a95-9110-147b40ca7e51",
      "urn:uuid:3b4db342-d792-4a76-bd33-37c7ca43c704",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:eb959135-fcc2-4572-a09a-1267ad1e544c"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-33/01-the-supersymmetric-oscillator.md": [
      "urn:uuid:1b370f94-adf5-40b2-8a15-70d09940d393",
      "urn:uuid:d5c525c9-354b-4589-a5de-06daf0962433"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential.md": [
      "urn:uuid:14428911-958a-420b-b2c4-d079f505c8b7",
      "urn:uuid:c15c5aa4-a64e-4d12-9ded-57d386a5a99d"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-33/03-supersymmetric-quantum-mechanics-and-diferential-forms.md": [
      "urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981",
      "urn:uuid:8a3364eb-be9a-4280-9185-16e79b63e191",
      "urn:uuid:c4df2f3d-e41b-4bde-949e-8989739a863d",
      "urn:uuid:cc12d9b1-2846-4c8c-a8f5-6daa888b376e"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-33/index.md": [
      "urn:uuid:2e8a69f5-6827-4c61-ad3b-dcc809cf942d"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-34/01-the-pauli-schr-odinger-equation-and-free-spin-1-2-particles-in-d-3.md": [
      "urn:uuid:4f857975-df69-4cc2-a60b-7a498719299e",
      "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-34/02-solutions-of-the-pauli-equation-and-representations-of-e-3.md": [
      "urn:uuid:14f530a7-cae3-4199-a129-754aeece7b1f",
      "urn:uuid:7e32fa09-632f-47ec-a8be-e0c229e727da",
      "urn:uuid:9c61b51f-4d17-4106-b147-7257f22762ec",
      "urn:uuid:d24133d7-c651-4a09-95d9-bcd4dfecc852",
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-34/04-the-dirac-operator.md": [
      "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-35/01-lagrangian-mechanics.md": [
      "urn:uuid:0d9aff98-9f23-43f1-bc7b-b6bef79e2962",
      "urn:uuid:224e68d3-89ec-4082-94fa-986f333f6ac4",
      "urn:uuid:2d1c5e15-26a6-4ca8-816a-91461fc9e654",
      "urn:uuid:6af418ab-a35e-47b5-8754-b4fbdaf3ae8e",
      "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8",
      "urn:uuid:91e3781b-f12b-42af-bf58-371780386623",
      "urn:uuid:9ab99bcf-0f4e-4b96-bafa-fc34e2cb40de",
      "urn:uuid:b48afbf0-a19f-42a5-8dfc-5b0dc4ba7ed2",
      "urn:uuid:d9610d6a-94c7-4d15-9ecf-b32655776b7a",
      "urn:uuid:ef1131c2-08bf-4d12-92e8-b36397a1407f",
      "urn:uuid:ff25d777-490f-4ae6-b7f9-2071832df195"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-35/02-noether-s-theorem-and-symmetries-in-the-lagrangian-formalism.md": [
      "urn:uuid:c84c4811-3c5d-480b-b7df-17a2505e95b0"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-35/03-quantization-and-path-integrals.md": [
      "urn:uuid:4f2153cc-eb69-4a7d-ba5c-eabaf46627e6",
      "urn:uuid:68eedf23-0c59-42f4-84e4-dee129e2d813",
      "urn:uuid:8c7b5380-5128-4333-9ea2-4fde37887085",
      "urn:uuid:d8842a51-427e-436c-8476-372fb5a37bfd",
      "urn:uuid:ed1b2064-8ab4-4ffb-a2c6-a818e2b81c2d"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-36/01-multi-particle-quantum-systems-as-quanta-of-a-harmonic-oscillator.md": [
      "urn:uuid:3e50e9ae-4157-4eea-a762-f943f292b9b2",
      "urn:uuid:52a06444-312f-4b90-9174-02d19553722f",
      "urn:uuid:77a3a645-7c60-4692-921e-fa07243c8e43",
      "urn:uuid:aaa0a3c5-6818-4769-b378-186b91122f2b"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism.md": [
      "urn:uuid:125009af-e084-4c92-b27e-de031a9fa1fb",
      "urn:uuid:2bf16f8e-01b1-462f-807c-fde871a89a6f",
      "urn:uuid:86b49294-3197-40c3-94d8-1af3e1c723bc",
      "urn:uuid:b44450c5-d0c8-4518-b1d0-c5f0941c5f71"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-36/05-continuum-formalism.md": [
      "urn:uuid:7466210b-1894-4b14-aa37-e5f27f8f3350"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-37/01-quantum-field-operators.md": [
      "urn:uuid:7d7401c6-00ca-4010-901d-09477338cb34"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-37/02-quadratic-operators-and-dynamics.md": [
      "urn:uuid:a8db106c-e9e6-4eef-8c0c-f49fb18fb037"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory.md": [
      "urn:uuid:516fb662-512d-42cf-b030-756189a7065e",
      "urn:uuid:65334560-ae6d-466e-803c-78244b705c5b",
      "urn:uuid:d898fb1e-b187-459d-b20b-b6ab554b8983"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-37/04-interacting-quantum-fields.md": [
      "urn:uuid:846bba7a-6161-4a61-addd-19b60032e968"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-37/05-fermion-fields.md": [
      "urn:uuid:a23b30c2-bd9f-4a80-b0da-1266559ffb7a"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-38/01-unitary-transformations-on-h1.md": [
      "urn:uuid:9c364158-a7d0-454f-95b3-5175b7142824"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-38/02-internal-symmetries.md": [
      "urn:uuid:71daf83d-6115-4bde-94bf-237daf170c67",
      "urn:uuid:c922485e-38de-4c71-8b31-2cf8e45ac65a"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-38/05-spatial-symmetries.md": [
      "urn:uuid:3e11a671-c004-44f2-8d6e-bf7933e08bbb",
      "urn:uuid:6b2e6c15-f414-4480-828a-cc19da05f9fb",
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-38/09-fermionic-fields.md": [
      "urn:uuid:b087a1f3-81a9-4c70-a5b6-29950378bdd0"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-39/01-inequivalent-irreducible-representations.md": [
      "urn:uuid:78e418b2-6084-4135-979b-115fe4364239"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-39/02-the-restricted-symplectic-group.md": [
      "urn:uuid:32fecc2c-a1e4-4f9b-b57c-68d2bed32ce5",
      "urn:uuid:489e7a75-33e7-46e1-b794-5c268cca2a23",
      "urn:uuid:7eb52d21-f6f5-4f7f-ad8d-69396d0a851c",
      "urn:uuid:be89d96d-f2fe-4fd0-b474-8739def4a433"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-39/03-the-anomaly-and-the-schwinger-term.md": [
      "urn:uuid:38ecd601-9467-4080-844c-8b76816d3b95",
      "urn:uuid:d52824fa-00d0-496c-84fb-ac2c9c371196",
      "urn:uuid:e85447b5-6df6-4a39-8dc5-fc84f01e7e7b"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-39/04-spontaneous-symmetry-breaking.md": [
      "urn:uuid:ca209073-6b0b-4faa-b78f-0d00d3d11d24"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-39/05-higher-order-operators-and-renormalization.md": [
      "urn:uuid:4b06a6ef-00b0-41c0-b826-3ac3059efaa8",
      "urn:uuid:efea2076-78f7-4fb4-8c9b-42f8bc2b9d1a"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-40/01-minkowski-space.md": [
      "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30",
      "urn:uuid:6bcac000-f712-409e-b09d-925136bf96c2",
      "urn:uuid:a013ad57-8c7e-4a67-8001-ba939965b6c8",
      "urn:uuid:aebcd7da-6aaa-47db-831d-2be25a85038a",
      "urn:uuid:c220fb5a-3d41-491f-865c-8b2a4c28fa3f"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-40/02-the-lorentz-group-and-its-lie-algebra.md": [
      "urn:uuid:20808338-dff0-4dc9-affd-ba73b8240dae",
      "urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929",
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-40/03-the-fourier-transform-in-minkowski-space.md": [
      "urn:uuid:0d3a1f8c-f2c8-418d-ab0f-9dc587e42313",
      "urn:uuid:9108ce8e-1818-467c-a25f-8675415492dd"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-40/04-spin-and-the-lorentz-group.md": [
      "urn:uuid:7dbfe73d-968a-4ac8-a84a-e865eecfd3aa",
      "urn:uuid:cbd1de1f-2a0b-436c-9be6-94fea9beb031"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-40/index.md": [
      "urn:uuid:b9250f96-c06a-4ae1-ab1f-8035202bea26"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-41/01-representations-of-the-lorentz-group.md": [
      "urn:uuid:fb37442e-a89f-4d2d-be7e-93cacc21a726"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-42/01-the-poincar-e-group-and-its-lie-algebra.md": [
      "urn:uuid:b9250f96-c06a-4ae1-ab1f-8035202bea26"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-42/02-irreducible-representations-of-the-poincar-e-group.md": [
      "urn:uuid:219d8d9a-81e0-4039-91d1-3c87115ef4fa",
      "urn:uuid:22bbf2c3-ffe3-4147-9f96-96908e85df9a",
      "urn:uuid:83d350f3-74f0-404e-8258-e3c819f0b558"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-43/01-the-klein-gordon-equation-and-its-solutions.md": [
      "urn:uuid:438ec001-b2be-4352-a008-bba8f8a1f3f1"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-43/02-the-symplectic-and-complex-structures-on-m.md": [
      "urn:uuid:e8ca6ba1-6ef2-4a3a-a299-bd7c3a6498b5"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-43/04-quantization-of-the-klein-gordon-theory.md": [
      "urn:uuid:d2085240-e280-4ce3-9875-2f28efcca408"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-43/05-the-scalar-field-propagator.md": [
      "urn:uuid:0c4ac77c-7bcc-4bfd-b1f8-352a07b796a8"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-44/01-internal-symmetries.md": [
      "urn:uuid:64e2d5a7-ae76-40d9-855f-323d58e1ee16"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-45/01-u-1-gauge-symmetry.md": [
      "urn:uuid:4c74fea1-7d81-4015-bdee-4561d67bcd4d",
      "urn:uuid:5c8953d5-b002-431f-8ba7-4b8ce7dd42ab",
      "urn:uuid:e295e151-c48e-4e8d-87a8-9c298c638541"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-45/02-curvature-electric-and-magnetic-fields.md": [
      "urn:uuid:affd6976-ee5c-4679-bd92-106d209f88a7",
      "urn:uuid:d18866dc-065d-461f-b2c0-269b4e51f2a9"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-45/04-the-geometric-significance-of-the-connection.md": [
      "urn:uuid:b2e0217f-a007-4c41-9d08-b3c942a60422"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-46/01-maxwell-s-equations.md": [
      "urn:uuid:dcc39596-780c-4cca-bb89-5cb32df909b8"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-46/02-the-hamiltonian-formalism-for-electromagnetic-fields.md": [
      "urn:uuid:7603b0fb-4649-4039-b83c-aeb2c4c52af9"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-46/03-gauss-s-law-and-time-independent-gauge-transformations.md": [
      "urn:uuid:6c1711a5-ca46-4052-aaed-0e4e27d60636"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-46/04-quantization-in-coulomb-gauge.md": [
      "urn:uuid:c4aefa07-365f-49a3-899c-1f5c16dda09d"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-46/09-covariant-gauge-quantization.md": [
      "urn:uuid:3e455468-be72-4afa-aba9-58c37c036e75"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-47/01-the-dirac-equation-in-minkowski-space.md": [
      "urn:uuid:c6117e48-9e8f-4f0a-88b6-20779e5159d4"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-47/02-majorana-spinors-and-the-majorana-field.md": [
      "urn:uuid:217fa41e-b347-4210-af2d-3fbb37069123"
    ],
    "books/woit-qtgr/2025-10-20/en/chapter-47/05-weyl-spinors.md": [
      "urn:uuid:0e844881-34ba-4782-be6c-b34f2c93a208",
      "urn:uuid:3a39f940-8a51-4881-8f68-5fc85f295341",
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-01/01-introduction.md": [
      "urn:uuid:2aac3b49-341f-4592-97ad-65a31b630e89",
      "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:a16683df-6af0-4a23-b60d-31ff355a5ae6",
      "urn:uuid:a7971b9e-8f7b-49a0-a412-0ae28a65c35b",
      "urn:uuid:cfc2af7a-6467-42cb-8699-52bf30033870"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-01/02-basic-principles-of-quantum-mechanics.md": [
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:1f30c262-f238-4dfd-acec-55532f758890",
      "urn:uuid:2c564b8b-ea23-4822-b010-583fc86fb905",
      "urn:uuid:3035413b-7cca-4017-a6d2-0152295e6e2a",
      "urn:uuid:34c6c0e8-a933-4a51-bbf6-7721075b239c",
      "urn:uuid:3c76b2f0-1ccb-43f9-b00a-b8ea4bc88a8d",
      "urn:uuid:3fa7eb7e-bb45-4bd1-a7a4-a7c40cf9f2f6",
      "urn:uuid:5c9ca977-04c0-42d0-8b1e-5d85c3fd905c",
      "urn:uuid:5f2054c6-8388-4d5b-b983-986606916b37",
      "urn:uuid:5f84a75b-3492-448f-a42d-c54cf4c32da0",
      "urn:uuid:619e4bc1-dc2b-4ae8-b4a9-da4e4cad6e4e",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:85694223-0c9f-4798-a693-c9ae294130f3",
      "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
      "urn:uuid:8a86f3a5-8b52-4b89-ab39-b297da0ffe2d",
      "urn:uuid:97fb932d-a189-418b-9bc4-efac0ef32ed6",
      "urn:uuid:b24f4256-9aea-456c-bb41-3cd97e36a051"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-01/03-unitary-group-representations.md": [
      "urn:uuid:05f42bf3-d38b-49e0-bed7-1d0452d9ac3d",
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:1ad68c54-876c-4290-88be-64552e9af83e",
      "urn:uuid:27f431a1-3297-467d-9e80-14e2140b1c8e",
      "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
      "urn:uuid:39c83087-8f6e-4028-bca4-e15886984c77",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:67ac3c6c-23b7-46a9-b007-a83151e84721",
      "urn:uuid:811a9bef-7a24-4f51-a81e-f2924d9b3085",
      "urn:uuid:862f56d4-0241-4c8e-897a-15830afd1941",
      "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
      "urn:uuid:8be34d75-7d30-4d61-bc33-cc2569ee7262",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:91c6b7de-78fd-4b5a-9d1e-2b69ee97ba8e",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:9d1874b8-6c8c-465e-849a-f2ddc348d3d0",
      "urn:uuid:a0008efe-3fef-4617-9ff0-159a32b75bde",
      "urn:uuid:a21851fd-d421-4e32-9a3b-46fc03a5df9a",
      "urn:uuid:a6a7c409-75c4-4cde-8470-bb4153ad9c9e",
      "urn:uuid:b2da5ce9-fdbc-4d32-9495-60eba58b0cab",
      "urn:uuid:be2d8436-d3dc-4871-a029-122366c0f690",
      "urn:uuid:d8b640a2-2675-4f90-bc60-7149b8de3db9",
      "urn:uuid:def3eb05-8eb2-451d-b5fb-2d8076b1e56a",
      "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-01/04-representations-and-quantum-mechanics.md": [
      "urn:uuid:1f30c262-f238-4dfd-acec-55532f758890",
      "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
      "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
      "urn:uuid:928ab6a9-7e9a-4beb-adff-65f984589c86",
      "urn:uuid:9ed047f9-1af4-4fff-bb3d-d3ded6b43252",
      "urn:uuid:b4e48583-4b04-48fc-83d8-e77fc248bcb3",
      "urn:uuid:d5f9da17-e94f-479d-90f0-7732d12ee03a"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-01/05-groups-and-symmetries.md": [
      "urn:uuid:126c82d1-85b0-4175-af2f-9d01a27e0e2e",
      "urn:uuid:4eb4e3f1-c861-4ad3-aa28-6972dd6ea552"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-01/06-for-further-reading.md": [
      "urn:uuid:3c247d87-47d1-44a1-8de6-205f195cc69e",
      "urn:uuid:97fb932d-a189-418b-9bc4-efac0ef32ed6"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-02/01-some-representation-theory.md": [
      "urn:uuid:023d3b84-da9a-4667-8674-d5b9ccbed948",
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:43002c12-43d7-4d07-9293-49f3074b8953",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:6ed47c88-27f1-4afd-88e9-df76c8500ef4",
      "urn:uuid:a0553dab-d811-417e-8a79-67ec620792e7",
      "urn:uuid:f2fbd84b-a1e7-4739-a004-babb445170aa"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-02/02-the-group-u-1-and-its-representations.md": [
      "urn:uuid:098437c0-f74c-41ec-82b2-7cdffbbe6feb",
      "urn:uuid:35b13cd0-fcbd-4d42-aa3a-04bf19d2fbb9",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-02/03-the-charge-operator.md": [
      "urn:uuid:52a09bf2-6b64-4f64-8d17-cb50a2c294d5",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-02/04-conservation-of-charge-and-u-1-symmetry.md": [
      "urn:uuid:126c82d1-85b0-4175-af2f-9d01a27e0e2e"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-02/index.md": [
      "urn:uuid:35b13cd0-fcbd-4d42-aa3a-04bf19d2fbb9",
      "urn:uuid:52a09bf2-6b64-4f64-8d17-cb50a2c294d5",
      "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-03/01-the-two-state-quantum-system.md": [
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:1f30c262-f238-4dfd-acec-55532f758890",
      "urn:uuid:27f67021-0375-4a5d-9cac-fe0b1732d93d",
      "urn:uuid:29b6091c-063a-4f0d-9eda-a479679da7a2",
      "urn:uuid:5e0b82c6-1611-4f91-b552-11bab1c32916",
      "urn:uuid:60143061-9c32-4555-8fdc-847e68ce8f16",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:794a1dd4-a2a7-4f6d-9697-5fa32e00a8b4",
      "urn:uuid:8a86f3a5-8b52-4b89-ab39-b297da0ffe2d",
      "urn:uuid:8ec85552-7145-4f89-8ce0-72304c15edc8",
      "urn:uuid:a7971b9e-8f7b-49a0-a412-0ae28a65c35b",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093",
      "urn:uuid:b0f1cb61-5cdc-49df-9d91-612c9a805bc9",
      "urn:uuid:e29afcc7-47f4-48fe-8dfe-d51873f245ba",
      "urn:uuid:e65c3c65-ec76-4453-8b9d-7512c5748f13",
      "urn:uuid:f3d0516f-16c8-42bf-9b2d-e348d15f5539"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-03/02-commutation-relations-for-pauli-matrices.md": [
      "urn:uuid:02db5117-4ecf-4ac2-9cd8-bf87eb334922",
      "urn:uuid:14b2f149-bd42-4f49-b8b9-6bcd538c6992",
      "urn:uuid:1a15b2f0-5129-43ae-a79b-291a51fb196e",
      "urn:uuid:c1d46382-437d-4926-a7fd-d9d0cd36a531"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system.md": [
      "urn:uuid:58e62b67-5cb1-4463-a967-c506506fb472",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:8138ecc5-6158-4786-afec-925599c67b25",
      "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
      "urn:uuid:a7971b9e-8f7b-49a0-a412-0ae28a65c35b",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093",
      "urn:uuid:b0f1cb61-5cdc-49df-9d91-612c9a805bc9",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:d550361c-735c-491e-afba-556b6f658c73"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-03/04-for-further-reading.md": [
      "urn:uuid:60143061-9c32-4555-8fdc-847e68ce8f16",
      "urn:uuid:794a1dd4-a2a7-4f6d-9697-5fa32e00a8b4"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-03/index.md": [
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-04/01-vector-spaces-and-linear-maps.md": [
      "urn:uuid:39428ebb-bc71-4f72-9ebe-c940f88d9879",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:7e3b88ac-3d0c-45bd-82d8-090fd0c22b05",
      "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-04/02-dual-vector-spaces.md": [
      "urn:uuid:07fed5dc-6aa1-4ef6-a20a-58fa52a971f7",
      "urn:uuid:1212910c-fd6e-468e-8315-db95c69ef22e",
      "urn:uuid:4702877e-2ad4-4875-8a27-ef99339c8553",
      "urn:uuid:4ae0743e-27f5-4211-ba73-7671ebc0738a",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:5d7e6d90-8fc4-4b2f-a97b-04bab6ff6e19",
      "urn:uuid:842e3529-eaac-49b5-977c-78c9ea84570c",
      "urn:uuid:9d1874b8-6c8c-465e-849a-f2ddc348d3d0",
      "urn:uuid:d6eb757d-a21e-4186-8ccf-544d77c8e86d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-04/03-change-of-basis.md": [
      "urn:uuid:30471a7b-45c7-4fed-b604-6391300884fa",
      "urn:uuid:5d7e6d90-8fc4-4b2f-a97b-04bab6ff6e19",
      "urn:uuid:9d1874b8-6c8c-465e-849a-f2ddc348d3d0",
      "urn:uuid:b66bf048-7f86-4318-8350-fbb64491a8b4",
      "urn:uuid:cd3b5031-565b-48d6-9ef1-b20a427e78f5"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-04/04-inner-products.md": [
      "urn:uuid:1438172c-4529-4171-9338-e797f954f1fb",
      "urn:uuid:424805ab-e734-4973-9608-07892429420f",
      "urn:uuid:4f5f10c1-2f69-4e89-8fab-84a7f7a3061b",
      "urn:uuid:60808942-4f7a-44c9-85de-4b3cf47ec7dd",
      "urn:uuid:89b660bc-0d4b-4aad-8a17-de594b19d0dc",
      "urn:uuid:9dc809a9-95f3-4c45-bb82-06dd391d1f6b",
      "urn:uuid:a3fbacd4-6311-47d0-ba10-1410d55788ce",
      "urn:uuid:a461cea2-cf70-40b2-957b-c1532889d160",
      "urn:uuid:d6f7741c-ea42-487e-baff-0067243d1990",
      "urn:uuid:d95ce073-6aab-466d-b054-0bca851e5160",
      "urn:uuid:dabe32db-8d84-4c17-9eeb-583f0609a265"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-04/05-adjoint-operators.md": [
      "urn:uuid:aaee3ca4-0875-466a-ba37-18936cefa633",
      "urn:uuid:d5f9da17-e94f-479d-90f0-7732d12ee03a",
      "urn:uuid:f410ba39-f137-4631-8236-e8799213561e"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-04/06-orthogonal-and-unitary-transformations.md": [
      "urn:uuid:3518e444-803d-459b-bd0c-654aa486613e",
      "urn:uuid:5d7e6d90-8fc4-4b2f-a97b-04bab6ff6e19",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:b66bf048-7f86-4318-8350-fbb64491a8b4",
      "urn:uuid:dabe32db-8d84-4c17-9eeb-583f0609a265"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-04/07-eigenvalues-and-eigenvectors.md": [
      "urn:uuid:14b2f149-bd42-4f49-b8b9-6bcd538c6992",
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:1a675aab-c7ae-434f-b33d-dbac51890000",
      "urn:uuid:4c5b32a9-4d9f-4f2b-804a-12c487399d39",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:a3fbacd4-6311-47d0-ba10-1410d55788ce",
      "urn:uuid:bd347ccc-dc4f-4ee4-8f5c-b6a79f4d41de",
      "urn:uuid:cd3b5031-565b-48d6-9ef1-b20a427e78f5",
      "urn:uuid:d07b8252-8aa0-41c2-a5b3-a8bec45db852",
      "urn:uuid:d6f7741c-ea42-487e-baff-0067243d1990",
      "urn:uuid:dabe32db-8d84-4c17-9eeb-583f0609a265"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-04/index.md": [
      "urn:uuid:1212910c-fd6e-468e-8315-db95c69ef22e",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-05/01-lie-algebras.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-05/02-lie-algebras-of-the-orthogonal-and-unitary-groups.md": [
      "urn:uuid:14b2f149-bd42-4f49-b8b9-6bcd538c6992",
      "urn:uuid:2b8f1e0e-bfcc-4391-ace1-5809a76204e3",
      "urn:uuid:4f876e03-2ba8-494f-b0f2-afd46ab6b934",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:a7988952-2738-40a2-aedf-6fb49ac99800",
      "urn:uuid:cbc9ebe8-e9e8-4f3d-a919-cb3725b7f68c"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-05/03-a-summary.md": [
      "urn:uuid:2b8f1e0e-bfcc-4391-ace1-5809a76204e3",
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:5a7c372b-6b23-4115-8129-84b5fad3a591",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-05/04-lie-algebra-representations.md": [
      "urn:uuid:05d312b4-8c04-40c4-a051-d508a402b79f",
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:28a435be-ede9-40fc-a9b2-f7175d5b3159",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:462a2e50-08b0-4eca-b51b-5b957df943b1",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:87107086-71e4-4b8b-899e-10c24486072b",
      "urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7",
      "urn:uuid:b3d9b0a6-b76b-4571-a20d-5ca7c7501ca2",
      "urn:uuid:bb49c0ac-9eb0-4734-901d-f537f22d4855",
      "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa",
      "urn:uuid:de96cc1a-7377-4476-ac03-e569f8b5166f",
      "urn:uuid:f0166e21-db33-4458-b2e7-ed19c7f71ecb"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-05/05-complexification.md": [
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc",
      "urn:uuid:eaa8baed-19fe-4db6-a610-2a84829b114d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-05/06-for-further-reading.md": [
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-06/01-the-rotation-group-in-three-dimensions.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:14b2f149-bd42-4f49-b8b9-6bcd538c6992",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:7e3b88ac-3d0c-45bd-82d8-090fd0c22b05",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:9217da23-ed1d-4016-b7e9-9a1d7c04a546",
      "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:c2c3d648-ab4b-4df7-9d8d-de852327c911",
      "urn:uuid:cbc9ebe8-e9e8-4f3d-a919-cb3725b7f68c",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-06/02-spin-groups-in-three-and-four-dimensions.md": [
      "urn:uuid:004c393d-b3c2-4027-957a-d8cea3b92491",
      "urn:uuid:02cfe956-6666-4db6-bee4-19ea46011cfe",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:475077c6-8a0d-4954-9883-ba29330925d3",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:ae1bcb94-1f25-4368-964c-45608e89016b",
      "urn:uuid:bed044e3-0bd6-48d8-8aab-253bd7096faa",
      "urn:uuid:d3626907-41e1-4ef2-bc68-2d2efdec0b42",
      "urn:uuid:e65c3c65-ec76-4453-8b9d-7512c5748f13",
      "urn:uuid:e975605a-7577-4615-b024-f78011266eb4",
      "urn:uuid:eaa8baed-19fe-4db6-a610-2a84829b114d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-06/07-a-summary.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:1afbc47e-4026-42fb-a8c1-d2b6a02638c4",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:6800cca5-05b3-4571-9b98-979ca6c8a5c1",
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:7fc5999a-3153-495e-a9e4-6e2fa4b35466",
      "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:8d16bffc-ce2e-49f4-9683-6eabeb80e54b",
      "urn:uuid:9217da23-ed1d-4016-b7e9-9a1d7c04a546",
      "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093",
      "urn:uuid:d3626907-41e1-4ef2-bc68-2d2efdec0b42",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-06/08-for-further-reading.md": [
      "urn:uuid:7a686007-0c2d-47df-a759-19577bea6f55",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-07/01-the-spinor-representation.md": [
      "urn:uuid:004c393d-b3c2-4027-957a-d8cea3b92491",
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:0c8937be-5b52-431f-a556-31c2c5f610f0",
      "urn:uuid:1afbc47e-4026-42fb-a8c1-d2b6a02638c4",
      "urn:uuid:38ecd601-9467-4080-844c-8b76816d3b95",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:c8c7bd36-41d4-4cd0-9c52-68d1e458bf59",
      "urn:uuid:eb527126-d5d0-417c-a57e-1131e5b8f893"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-07/02-the-spin-half-particle-in-a-magnetic-field.md": [
      "urn:uuid:13e70843-34ca-4e4e-9bc3-d336dbb4c734",
      "urn:uuid:17282fd6-0595-40df-a266-9ec044b18a12",
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:1f30c262-f238-4dfd-acec-55532f758890",
      "urn:uuid:2acc1cb3-ebc4-4dc0-9fae-65f247a55564",
      "urn:uuid:3e11a671-c004-44f2-8d6e-bf7933e08bbb",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:5045f4bb-0f7d-4132-988c-c49d734a1587",
      "urn:uuid:57eeacec-5920-4133-83e9-8b4cd48bf759",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:60143061-9c32-4555-8fdc-847e68ce8f16",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:8138ecc5-6158-4786-afec-925599c67b25",
      "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
      "urn:uuid:8a86f3a5-8b52-4b89-ab39-b297da0ffe2d",
      "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
      "urn:uuid:94ff4c93-90de-45ed-a904-70b63d9c30cf",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:9c252b25-011e-4b3d-8bf1-b54966fe2881",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:d550361c-735c-491e-afba-556b6f658c73"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-07/03-the-heisenberg-picture.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786",
      "urn:uuid:1f30c262-f238-4dfd-acec-55532f758890",
      "urn:uuid:3e11a671-c004-44f2-8d6e-bf7933e08bbb",
      "urn:uuid:4794ccb8-5d3f-4284-bb16-afe34bfa3d67",
      "urn:uuid:57eeacec-5920-4133-83e9-8b4cd48bf759",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:868c8408-74e1-42b6-9b32-3267a97bd88b",
      "urn:uuid:8a86f3a5-8b52-4b89-ab39-b297da0ffe2d",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:f9e4f49c-fba8-4cc3-8560-b5dadb3c85b2"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-07/04-complex-projective-space.md": [
      "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:4702877e-2ad4-4875-8a27-ef99339c8553",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:57eeacec-5920-4133-83e9-8b4cd48bf759",
      "urn:uuid:6328536c-e4a4-4277-b275-0a8a7146d152",
      "urn:uuid:6b78393e-3876-49d3-b82b-3dd0d4ff3b21",
      "urn:uuid:75e9bd12-9b58-4080-8f6c-d42cdf594c77",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:8a86f3a5-8b52-4b89-ab39-b297da0ffe2d",
      "urn:uuid:9bd75d12-0eb0-4d97-ab55-23361589bdab",
      "urn:uuid:b6e6358a-67f2-4f17-abe3-6047c1590084",
      "urn:uuid:bf25e16b-0efc-4514-88b9-3e7aa54578a2",
      "urn:uuid:c2119140-62f5-42ca-b162-fd313d43319e",
      "urn:uuid:ce618650-9f53-49e2-ab6f-718ffe06a89e",
      "urn:uuid:e663b5dd-c1fb-4282-b563-3b00795ebad3"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-07/05-the-bloch-sphere.md": [
      "urn:uuid:1002fcb8-4c5d-4471-a9be-ebff4f4e5dd1",
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:2aac3b49-341f-4592-97ad-65a31b630e89",
      "urn:uuid:346db9a3-44c0-42d4-beda-f834200ff290",
      "urn:uuid:3f43164d-2e69-4cc9-98b5-60fdc5e6f434",
      "urn:uuid:424805ab-e734-4973-9608-07892429420f",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:91a7526b-ab87-4e11-b9c7-913c316d0cef",
      "urn:uuid:dabe32db-8d84-4c17-9eeb-583f0609a265",
      "urn:uuid:e3156275-3f46-409b-b74c-452208f4fdcb",
      "urn:uuid:f279d758-ab16-4805-a63d-086d2d235785"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-08/01-representations-of-su2-classification.md": [
      "urn:uuid:6187bb71-d6f3-4a7c-8765-9320aafd36ad",
      "urn:uuid:7e89ae8a-6618-4d20-a433-6d3840e1eda5",
      "urn:uuid:983a40d9-c3f5-4be7-bca7-0561ba9fab62",
      "urn:uuid:b2fa8d60-7325-4e2d-b009-3aea4de3c3c6",
      "urn:uuid:d814193b-cdfb-47f7-bda5-f218747ec2c0"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-08/04-representations-of-su2-construction.md": [
      "urn:uuid:fbc5dab1-019e-483b-ba02-749641eeca97"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-09/03-indecomposable-vectors-and-entanglement.md": [
      "urn:uuid:0e2b3187-27c9-43e4-998b-30db8c236b8a",
      "urn:uuid:1eff654d-4586-46ff-b65d-12fcb385b4ae"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-09/04-tensor-products-of-representations.md": [
      "urn:uuid:325a50ce-fadc-478e-9816-feb8f2a6af8d",
      "urn:uuid:3ca9ee3c-aa64-49a8-8eac-e4e9fdde1f33",
      "urn:uuid:58f1c3d5-9aa5-45b5-b01b-8f998de65e40",
      "urn:uuid:69b28db8-59b4-4cec-a6a3-1770de5f7384"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-09/08-bilinear-forms-and-tensor-products.md": [
      "urn:uuid:2733ca54-c706-432a-b96d-195c3a4e7fb4"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-10/02-translations-in-time-and-space.md": [
      "urn:uuid:87bf0817-1c0e-449a-aab5-70e73e7d9c72"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-11/01-periodic-boundary-conditions-and-the-group-u-1.md": [
      "urn:uuid:b731fa52-a18c-41d3-b817-67eb77e84ee3"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-11/02-the-group-r-and-the-fourier-transform.md": [
      "urn:uuid:0b8e66a2-7e78-4510-8c4c-61afabaae089",
      "urn:uuid:9108ce8e-1818-467c-a25f-8675415492dd",
      "urn:uuid:b4b2ccab-421f-4d85-afd2-a2f92d03737e"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-12/01-the-position-operator.md": [
      "urn:uuid:05d69eba-f971-4eda-9264-d2a2b9cb71b1"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-12/04-heisenberg-uncertainty.md": [
      "urn:uuid:f1d8e0c0-3496-4449-ac6f-acf05f78feee"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-12/05-the-propagator-in-position-space.md": [
      "urn:uuid:6c13c2cf-973e-4abf-8173-dd90eaf57938"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-12/06-propagators-in-frequency-momentum-space.md": [
      "urn:uuid:f1ac8fda-6f61-4308-a401-d899c91ace3f"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-13/01-the-heisenberg-lie-algebra.md": [
      "urn:uuid:7403436a-1d4b-471f-8d7c-af1c5f055118",
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-13/02-the-heisenberg-group.md": [
      "urn:uuid:2114b0de-b7cd-4083-b0b5-884f1b96c3e0",
      "urn:uuid:443f3561-4bb5-4d5b-b021-e674d7a47664"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-13/03-the-schr-odinger-representation.md": [
      "urn:uuid:0bec019e-a424-4b09-b588-ac9e80189f9b",
      "urn:uuid:561e07f8-1c49-4700-b0af-4df4cf5ee94c",
      "urn:uuid:c2dfd358-353e-4ba7-8774-c693c50cba5f"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-14/01-classical-mechanics-and-the-poisson-bracket.md": [
      "urn:uuid:d2b35bcc-bfd9-4e7f-b308-727751f98a08"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-14/03-symplectic-geometry.md": [
      "urn:uuid:d48ed7ff-3ca1-404d-9e8e-9c302f532e74"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-15/01-vector-fields-and-the-exponential-map.md": [
      "urn:uuid:7d6e05ef-910c-49a8-aebb-ba22dd99946c"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-15/02-hamiltonian-vector-fields-and-canonical-transformations.md": [
      "urn:uuid:bd322781-a622-431f-a000-1be56b3c37e1"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-15/03-group-actions-on-m-and-the-moment-map.md": [
      "urn:uuid:4b3c4f61-3c9d-4308-b4d4-ed0cb6e26fa4",
      "urn:uuid:82788b92-e7e2-458d-aa00-d14e5448427a"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-16/01-the-symplectic-group.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:4702877e-2ad4-4875-8a27-ef99339c8553",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:5d7e6d90-8fc4-4b2f-a97b-04bab6ff6e19",
      "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
      "urn:uuid:9bd75d12-0eb0-4d97-ab55-23361589bdab",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-16/04-the-symplectic-group-and-automorphisms-of-the-heisenberg-group.md": [
      "urn:uuid:0c30dd70-94da-4cce-81b0-03aa524fedef",
      "urn:uuid:0ee9d2e9-d61c-4c92-90bc-0c305f648a98",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:4702877e-2ad4-4875-8a27-ef99339c8553",
      "urn:uuid:54afd32d-e7ca-47b4-b23f-1277bda066e2",
      "urn:uuid:5bd96f47-f41c-4ba5-86a0-0d8cb192c94b"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-16/07-the-case-of-arbitrary-d.md": [
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-16/index.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354",
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-17/02-the-groenewold-van-hove-no-go-theorem.md": [
      "urn:uuid:74ae58d7-65e0-4725-947a-20d3cf498508"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-18/01-an-example-the-euclidean-group.md": [
      "urn:uuid:24e2efa3-553e-461a-9117-448a9406db0f"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-18/02-semi-direct-product-groups.md": [
      "urn:uuid:3518e444-803d-459b-bd0c-654aa486613e",
      "urn:uuid:f033ef18-bc06-41cd-99de-7d70e80ee200"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-18/03-semi-direct-product-lie-algebras.md": [
      "urn:uuid:6da2baae-8135-47ae-aa6b-d70da67ce130"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-20/01-intertwining-operators-and-the-metaplectic-representation.md": [
      "urn:uuid:a6bac404-ae9c-41fe-b818-5b13db52a897"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-20/08-representations-of-nk-n-commutative.md": [
      "urn:uuid:7b6409db-7dda-4ee3-8d42-80d4ba31d7de",
      "urn:uuid:fbccb3cc-baae-4284-a87f-3eb0e06d6070"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-21/02-so-4-symmetry-and-the-coulomb-potential.md": [
      "urn:uuid:93db54df-1884-4aa0-bba4-11221ec183a6"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-22/03-the-bargmann-fock-representation.md": [
      "urn:uuid:676173e7-6104-41f9-b2f2-95d235a3a95c"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-23/01-coherent-states-and-the-heisenberg-group-action.md": [
      "urn:uuid:22c1f4e6-3a65-4868-8d58-dde99c2cea9a"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-23/08-the-bargmann-transform.md": [
      "urn:uuid:5412c8ef-53d3-42d8-b6f9-d39220aff942"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-24/01-the-metaplectic-representation-for-d-1-in-terms-of-a-and-a.md": [
      "urn:uuid:c38865ab-fa4a-4617-809e-1d99d66a3793"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-24/03-implications-of-the-choice-of-z-z.md": [
      "urn:uuid:5c130474-2e54-4ec8-9a3e-2355428ac1d1"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-25/01-multiple-degrees-of-freedom.md": [
      "urn:uuid:3547e89d-df9b-4a7a-9f78-22fe3f20a50b",
      "urn:uuid:e992bab1-8a2d-4291-96da-ff7f86a8dcfc"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-25/03-the-metaplectic-representation-and-u-d-sp-2d-r.md": [
      "urn:uuid:004c393d-b3c2-4027-957a-d8cea3b92491"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-25/04-examples-in-d-2-and-3.md": [
      "urn:uuid:22d066f1-dd17-450c-8457-1f856104d052",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:eaa8baed-19fe-4db6-a610-2a84829b114d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-25/07-normal-ordering-and-the-anomaly-in-finite-dimensions.md": [
      "urn:uuid:82788b92-e7e2-458d-aa00-d14e5448427a"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-25/index.md": [
      "urn:uuid:43457138-2721-4162-870f-85006ba3e6be",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:5bad1df2-281a-4c11-8362-128d54fb523a",
      "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:eb959135-fcc2-4572-a09a-1267ad1e544c"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-26/01-complex-structures-and-phase-space.md": [
      "urn:uuid:9e862121-659d-4ec4-8d9f-204bdd709d9f",
      "urn:uuid:eaa8baed-19fe-4db6-a610-2a84829b114d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-26/02-compatible-complex-structures-and-positivity.md": [
      "urn:uuid:7fff60d8-e117-481c-81fb-4b5b167c4d31",
      "urn:uuid:8ba0c8f9-deb3-4652-aedf-98f9fda4a22e",
      "urn:uuid:a584147f-8858-4fc2-a721-a9db0b16bf71"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-26/04-complex-vector-spaces-with-hermitian-inner-product-as-phase-spaces.md": [
      "urn:uuid:b001334e-e824-4a5a-bc84-8b3ba855aebf"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-26/05-complex-structures-for-d-1-and-squeezed-states.md": [
      "urn:uuid:8d9cedbe-155f-47e3-b48e-edf05ba7b6ed"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-26/06-complex-structures-and-bargmann-fock-quantization-for-arbitrary-d.md": [
      "urn:uuid:43457138-2721-4162-870f-85006ba3e6be",
      "urn:uuid:e725ddcb-6d23-450c-be5a-8ec98d7f307b"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-26/index.md": [
      "urn:uuid:9e862121-659d-4ec4-8d9f-204bdd709d9f"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-27/01-canonical-anticommutation-relations-and-the-fermionic-oscillator.md": [
      "urn:uuid:3547e89d-df9b-4a7a-9f78-22fe3f20a50b",
      "urn:uuid:5e0b82c6-1611-4f91-b552-11bab1c32916",
      "urn:uuid:fd3ec660-2fd6-44c1-9079-3606dad2ac73"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-27/02-multiple-degrees-of-freedom.md": [
      "urn:uuid:89b2c869-2305-4cc2-8424-af0fde56c114"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-27/index.md": [
      "urn:uuid:705ab9c3-10fa-403c-8827-2b2f9368f751"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-28/01-the-complex-weyl-and-cliford-algebras.md": [
      "urn:uuid:280d509b-0425-4ad3-8a7d-aa0b795679ac",
      "urn:uuid:33849610-9088-454e-a11d-ba3188cc7663",
      "urn:uuid:43457138-2721-4162-870f-85006ba3e6be",
      "urn:uuid:7e2e6da6-b92e-45a5-b490-c11370b027b4",
      "urn:uuid:f05f6f83-0600-4f4e-951c-348c86414c39"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-28/05-real-cliford-algebras.md": [
      "urn:uuid:0e4afba4-5ba4-439a-b77b-cd49f88c44f3",
      "urn:uuid:1975f833-3088-44ad-97dd-6f1f7cf97583",
      "urn:uuid:e975605a-7577-4615-b024-f78011266eb4"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-29/01-non-degenerate-bilinear-forms.md": [
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:f99d2218-e64e-42aa-ac15-b1adf3fb020d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-29/02-cliford-algebras-and-geometry.md": [
      "urn:uuid:3057bc98-1560-4f68-971f-f741195b6499",
      "urn:uuid:539bde69-fb14-4a93-ad65-5a676746e932",
      "urn:uuid:8adadd91-0a76-4463-a472-62ff66c5bfb3",
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021",
      "urn:uuid:ec5695e9-5589-4bda-bdd1-786f7d96125c"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-30/01-the-grassmann-algebra-of-polynomials-on-anticommuting-generators.md": [
      "urn:uuid:05169104-3155-481a-ad02-24789d58afd7",
      "urn:uuid:078de077-8b79-46b3-8955-b2642c83034f",
      "urn:uuid:168b04d1-9b02-428a-b637-0ce8914e7384",
      "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-30/02-pseudo-classical-mechanics-and-the-fermionic-poisson-bracket.md": [
      "urn:uuid:05c92274-bda7-4225-b24d-846ec64b2dbc",
      "urn:uuid:0bec1410-0ea3-4aa7-a217-f21c439ebd4a",
      "urn:uuid:3b4db342-d792-4a76-bd33-37c7ca43c704",
      "urn:uuid:5c0010c3-e567-45b1-926e-91dd0363f528"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-31/01-quantization-of-pseudo-classical-systems.md": [
      "urn:uuid:c45f5876-ea6e-409e-b221-625213a50b9f"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-31/03-the-schr-odinger-representation-for-fermions-ghosts.md": [
      "urn:uuid:16e15429-a004-4dab-a343-1d520139d5ff"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-31/04-spinors-and-the-bargmann-fock-construction.md": [
      "urn:uuid:7e960f07-0efa-4408-a191-ffe41c9395fe",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:9d30f001-86e0-4e06-9631-c199d9cc5ae4"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-31/05-complex-structures-u-d-so-2-d-and-the-spinor-representation.md": [
      "urn:uuid:7fff60d8-e117-481c-81fb-4b5b167c4d31"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-31/index.md": [
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-32/index.md": [
      "urn:uuid:05c92274-bda7-4225-b24d-846ec64b2dbc",
      "urn:uuid:33849610-9088-454e-a11d-ba3188cc7663",
      "urn:uuid:38dc6df0-5043-4a95-9110-147b40ca7e51",
      "urn:uuid:3b4db342-d792-4a76-bd33-37c7ca43c704",
      "urn:uuid:9784dcc7-9e6e-4545-b544-9c8e88f90bf7",
      "urn:uuid:eb959135-fcc2-4572-a09a-1267ad1e544c"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-33/01-the-supersymmetric-oscillator.md": [
      "urn:uuid:1b370f94-adf5-40b2-8a15-70d09940d393",
      "urn:uuid:d5c525c9-354b-4589-a5de-06daf0962433"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential.md": [
      "urn:uuid:14428911-958a-420b-b2c4-d079f505c8b7",
      "urn:uuid:c15c5aa4-a64e-4d12-9ded-57d386a5a99d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-33/03-supersymmetric-quantum-mechanics-and-diferential-forms.md": [
      "urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981",
      "urn:uuid:94acb024-2f20-4221-93e3-8560f3208f93",
      "urn:uuid:c4df2f3d-e41b-4bde-949e-8989739a863d",
      "urn:uuid:cc12d9b1-2846-4c8c-a8f5-6daa888b376e"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-33/index.md": [
      "urn:uuid:2e8a69f5-6827-4c61-ad3b-dcc809cf942d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-34/01-the-pauli-schr-odinger-equation-and-free-spin-1-2-particles-in-d-3.md": [
      "urn:uuid:4f857975-df69-4cc2-a60b-7a498719299e",
      "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-34/02-solutions-of-the-pauli-equation-and-representations-of-e-3.md": [
      "urn:uuid:14f530a7-cae3-4199-a129-754aeece7b1f",
      "urn:uuid:7e32fa09-632f-47ec-a8be-e0c229e727da",
      "urn:uuid:9c61b51f-4d17-4106-b147-7257f22762ec",
      "urn:uuid:d24133d7-c651-4a09-95d9-bcd4dfecc852",
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-34/04-the-dirac-operator.md": [
      "urn:uuid:555c6cfc-d07b-463a-9c7d-5fc1fecfd3e4"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-35/01-lagrangian-mechanics.md": [
      "urn:uuid:0d9aff98-9f23-43f1-bc7b-b6bef79e2962",
      "urn:uuid:224e68d3-89ec-4082-94fa-986f333f6ac4",
      "urn:uuid:2d1c5e15-26a6-4ca8-816a-91461fc9e654",
      "urn:uuid:6af418ab-a35e-47b5-8754-b4fbdaf3ae8e",
      "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8",
      "urn:uuid:91e3781b-f12b-42af-bf58-371780386623",
      "urn:uuid:9ab99bcf-0f4e-4b96-bafa-fc34e2cb40de",
      "urn:uuid:b48afbf0-a19f-42a5-8dfc-5b0dc4ba7ed2",
      "urn:uuid:d9610d6a-94c7-4d15-9ecf-b32655776b7a",
      "urn:uuid:ef1131c2-08bf-4d12-92e8-b36397a1407f",
      "urn:uuid:ff25d777-490f-4ae6-b7f9-2071832df195"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-35/02-noether-s-theorem-and-symmetries-in-the-lagrangian-formalism.md": [
      "urn:uuid:c84c4811-3c5d-480b-b7df-17a2505e95b0"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-35/03-quantization-and-path-integrals.md": [
      "urn:uuid:4f2153cc-eb69-4a7d-ba5c-eabaf46627e6",
      "urn:uuid:68eedf23-0c59-42f4-84e4-dee129e2d813",
      "urn:uuid:8c7b5380-5128-4333-9ea2-4fde37887085",
      "urn:uuid:d8842a51-427e-436c-8476-372fb5a37bfd",
      "urn:uuid:ed1b2064-8ab4-4ffb-a2c6-a818e2b81c2d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-36/01-multi-particle-quantum-systems-as-quanta-of-a-harmonic-oscillator.md": [
      "urn:uuid:0faa133b-6cda-4cf8-a159-9cf3987a7652",
      "urn:uuid:3e50e9ae-4157-4eea-a762-f943f292b9b2",
      "urn:uuid:77a3a645-7c60-4692-921e-fa07243c8e43",
      "urn:uuid:f307ef9a-a1cb-4747-9a3a-93f549e9f325"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism.md": [
      "urn:uuid:125009af-e084-4c92-b27e-de031a9fa1fb",
      "urn:uuid:2bf16f8e-01b1-462f-807c-fde871a89a6f",
      "urn:uuid:86b49294-3197-40c3-94d8-1af3e1c723bc",
      "urn:uuid:b44450c5-d0c8-4518-b1d0-c5f0941c5f71"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-36/05-continuum-formalism.md": [
      "urn:uuid:7466210b-1894-4b14-aa37-e5f27f8f3350"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-37/01-quantum-field-operators.md": [
      "urn:uuid:afeba7ff-445b-48d6-9000-97af6ab5abfe"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-37/02-quadratic-operators-and-dynamics.md": [
      "urn:uuid:a8db106c-e9e6-4eef-8c0c-f49fb18fb037"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory.md": [
      "urn:uuid:516fb662-512d-42cf-b030-756189a7065e",
      "urn:uuid:65334560-ae6d-466e-803c-78244b705c5b",
      "urn:uuid:d898fb1e-b187-459d-b20b-b6ab554b8983"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-37/04-interacting-quantum-fields.md": [
      "urn:uuid:846bba7a-6161-4a61-addd-19b60032e968"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-37/05-fermion-fields.md": [
      "urn:uuid:a23b30c2-bd9f-4a80-b0da-1266559ffb7a"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-38/01-unitary-transformations-on-h1.md": [
      "urn:uuid:0255717c-bfab-4555-82a5-f56059eba261"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-38/02-internal-symmetries.md": [
      "urn:uuid:71daf83d-6115-4bde-94bf-237daf170c67",
      "urn:uuid:c922485e-38de-4c71-8b31-2cf8e45ac65a"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-38/05-spatial-symmetries.md": [
      "urn:uuid:14f530a7-cae3-4199-a129-754aeece7b1f",
      "urn:uuid:6b2e6c15-f414-4480-828a-cc19da05f9fb",
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-38/09-fermionic-fields.md": [
      "urn:uuid:b087a1f3-81a9-4c70-a5b6-29950378bdd0"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-39/01-inequivalent-irreducible-representations.md": [
      "urn:uuid:78e418b2-6084-4135-979b-115fe4364239"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-39/02-the-restricted-symplectic-group.md": [
      "urn:uuid:32fecc2c-a1e4-4f9b-b57c-68d2bed32ce5",
      "urn:uuid:489e7a75-33e7-46e1-b794-5c268cca2a23",
      "urn:uuid:7eb52d21-f6f5-4f7f-ad8d-69396d0a851c",
      "urn:uuid:be89d96d-f2fe-4fd0-b474-8739def4a433"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-39/03-the-anomaly-and-the-schwinger-term.md": [
      "urn:uuid:38ecd601-9467-4080-844c-8b76816d3b95",
      "urn:uuid:d52824fa-00d0-496c-84fb-ac2c9c371196",
      "urn:uuid:e85447b5-6df6-4a39-8dc5-fc84f01e7e7b"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-39/04-spontaneous-symmetry-breaking.md": [
      "urn:uuid:ca209073-6b0b-4faa-b78f-0d00d3d11d24"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-39/05-higher-order-operators-and-renormalization.md": [
      "urn:uuid:4b06a6ef-00b0-41c0-b826-3ac3059efaa8",
      "urn:uuid:efea2076-78f7-4fb4-8c9b-42f8bc2b9d1a"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-40/01-minkowski-space.md": [
      "urn:uuid:132c84d0-902e-4ab2-91b9-d41dd49e754c",
      "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30",
      "urn:uuid:903eac38-d4eb-4e4a-b7d4-a25741bba472",
      "urn:uuid:aebcd7da-6aaa-47db-831d-2be25a85038a",
      "urn:uuid:c220fb5a-3d41-491f-865c-8b2a4c28fa3f"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-40/02-the-lorentz-group-and-its-lie-algebra.md": [
      "urn:uuid:20808338-dff0-4dc9-affd-ba73b8240dae",
      "urn:uuid:316c2c4b-6cd0-4631-add0-0a3dbbd743fd",
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-40/03-the-fourier-transform-in-minkowski-space.md": [
      "urn:uuid:0d3a1f8c-f2c8-418d-ab0f-9dc587e42313",
      "urn:uuid:9108ce8e-1818-467c-a25f-8675415492dd"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-40/04-spin-and-the-lorentz-group.md": [
      "urn:uuid:2b8f1e0e-bfcc-4391-ace1-5809a76204e3",
      "urn:uuid:cbd1de1f-2a0b-436c-9be6-94fea9beb031"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-40/index.md": [
      "urn:uuid:b9250f96-c06a-4ae1-ab1f-8035202bea26"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-41/01-representations-of-the-lorentz-group.md": [
      "urn:uuid:fb37442e-a89f-4d2d-be7e-93cacc21a726"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-42/01-the-poincar-e-group-and-its-lie-algebra.md": [
      "urn:uuid:b9250f96-c06a-4ae1-ab1f-8035202bea26"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-42/02-irreducible-representations-of-the-poincar-e-group.md": [
      "urn:uuid:219d8d9a-81e0-4039-91d1-3c87115ef4fa",
      "urn:uuid:22bbf2c3-ffe3-4147-9f96-96908e85df9a",
      "urn:uuid:83d350f3-74f0-404e-8258-e3c819f0b558"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-43/01-the-klein-gordon-equation-and-its-solutions.md": [
      "urn:uuid:438ec001-b2be-4352-a008-bba8f8a1f3f1"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-43/02-the-symplectic-and-complex-structures-on-m.md": [
      "urn:uuid:e8ca6ba1-6ef2-4a3a-a299-bd7c3a6498b5"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-43/04-quantization-of-the-klein-gordon-theory.md": [
      "urn:uuid:d2085240-e280-4ce3-9875-2f28efcca408"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-43/05-the-scalar-field-propagator.md": [
      "urn:uuid:0c4ac77c-7bcc-4bfd-b1f8-352a07b796a8"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-44/01-internal-symmetries.md": [
      "urn:uuid:64e2d5a7-ae76-40d9-855f-323d58e1ee16"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-45/01-u-1-gauge-symmetry.md": [
      "urn:uuid:4c74fea1-7d81-4015-bdee-4561d67bcd4d",
      "urn:uuid:5c8953d5-b002-431f-8ba7-4b8ce7dd42ab",
      "urn:uuid:e295e151-c48e-4e8d-87a8-9c298c638541"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-45/02-curvature-electric-and-magnetic-fields.md": [
      "urn:uuid:affd6976-ee5c-4679-bd92-106d209f88a7",
      "urn:uuid:d18866dc-065d-461f-b2c0-269b4e51f2a9"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-45/04-the-geometric-significance-of-the-connection.md": [
      "urn:uuid:b2e0217f-a007-4c41-9d08-b3c942a60422"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-46/01-maxwell-s-equations.md": [
      "urn:uuid:dcc39596-780c-4cca-bb89-5cb32df909b8"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-46/02-the-hamiltonian-formalism-for-electromagnetic-fields.md": [
      "urn:uuid:7603b0fb-4649-4039-b83c-aeb2c4c52af9"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-46/03-gauss-s-law-and-time-independent-gauge-transformations.md": [
      "urn:uuid:6c1711a5-ca46-4052-aaed-0e4e27d60636"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-46/04-quantization-in-coulomb-gauge.md": [
      "urn:uuid:c4aefa07-365f-49a3-899c-1f5c16dda09d"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-46/09-covariant-gauge-quantization.md": [
      "urn:uuid:3e455468-be72-4afa-aba9-58c37c036e75"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-47/01-the-dirac-equation-in-minkowski-space.md": [
      "urn:uuid:c6117e48-9e8f-4f0a-88b6-20779e5159d4"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-47/02-majorana-spinors-and-the-majorana-field.md": [
      "urn:uuid:217fa41e-b347-4210-af2d-3fbb37069123"
    ],
    "books/woit-qtgr/2025-10-20/zh/chapter-47/05-weyl-spinors.md": [
      "urn:uuid:0e844881-34ba-4782-be6c-b34f2c93a208",
      "urn:uuid:3a39f940-8a51-4881-8f68-5fc85f295341",
      "urn:uuid:f4ddac0c-c765-44bd-b2a9-e5be5de5ed13"
    ],
    "en/chapter-01/03-products-and-relations.md": [
      "urn:uuid:8634dc6a-08e3-49e9-941d-590b27f88cfe",
      "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601"
    ],
    "en/chapter-01/05-infinite-sets.md": [
      "urn:uuid:1ee2a9ac-e285-44ea-b156-a143a1875246"
    ],
    "en/chapter-01/06-structures.md": [
      "urn:uuid:94ed061d-4936-4c6b-81d0-953dbc6bdb3d"
    ],
    "en/chapter-02/03-matrix-groups.md": [
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:45d0c13b-cde3-424f-8e70-a8c56a307519",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af"
    ],
    "en/chapter-02/04-homomorphisms-and-isomorphisms.md": [
      "urn:uuid:057330d9-9ff5-427f-a15c-73c814aa8a20",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00"
    ],
    "en/chapter-02/05-normal-subgroups-and-factor-groups.md": [
      "urn:uuid:16df3086-ee73-47de-8a9c-e0a17709c146",
      "urn:uuid:34d7ee62-cceb-462f-a9c9-8307ed5c5244",
      "urn:uuid:dbf8f503-ae98-47ba-af2c-59f26dab3447"
    ],
    "en/chapter-02/07-symmetry-groups.md": [
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021"
    ],
    "en/chapter-04/01-eigenspaces-and-characteristic-equations.md": [
      "urn:uuid:56b0284d-ea52-4730-baef-596780d61dcd"
    ],
    "en/chapter-04/04-introduction-to-group-representation-theory.md": [
      "urn:uuid:023d3b84-da9a-4667-8674-d5b9ccbed948",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0"
    ],
    "en/chapter-05/01-real-inner-product-spaces.md": [
      "urn:uuid:fc0ae0df-4043-4beb-be49-1664bb2bfb3c"
    ],
    "en/chapter-05/02-complex-inner-product-spaces.md": [
      "urn:uuid:737defc6-6789-4cdd-87f7-63952cdef118",
      "urn:uuid:f1bc887f-aba2-4c03-a6e1-1bd0892e42e5"
    ],
    "en/chapter-05/03-representations-of-finite-groups.md": [
      "urn:uuid:c75b3404-beda-4f83-b6ce-b1d83e5669ad"
    ],
    "en/chapter-06/01-algebras-and-ideals.md": [
      "urn:uuid:0e0a5217-4c69-4190-ab6a-89df2645a4ff",
      "urn:uuid:6ee05280-22fc-4e93-a374-8fa890e7552e",
      "urn:uuid:72d78a90-b76f-446c-b447-6704c9f5842c",
      "urn:uuid:7e2e6da6-b92e-45a5-b490-c11370b027b4",
      "urn:uuid:903209da-385d-464a-8d57-61b71d54e2e8",
      "urn:uuid:984484bb-484a-47b5-89ac-6eb7a35f9f7c",
      "urn:uuid:cf37a212-b028-47fc-9040-136c5bb702d7",
      "urn:uuid:e1f26ebb-28aa-46e5-8109-2a53560d9964",
      "urn:uuid:e5d1ce04-babc-4a8b-b31d-f65f6ed73aca",
      "urn:uuid:e74a2efd-e969-4049-93b3-d9c7d69f9d11",
      "urn:uuid:f0e269d8-bae5-4032-9611-4e7c7b5f8518"
    ],
    "en/chapter-06/02-complex-numbers-and-complex-structures.md": [
      "urn:uuid:9e862121-659d-4ec4-8d9f-204bdd709d9f",
      "urn:uuid:eaa8baed-19fe-4db6-a610-2a84829b114d",
      "urn:uuid:fcfb759a-7e9c-4fdf-aafb-dc2c25046515"
    ],
    "en/chapter-06/03-quaternions-and-clifford-algebras.md": [
      "urn:uuid:1975f833-3088-44ad-97dd-6f1f7cf97583",
      "urn:uuid:26ae89e4-05be-4f48-9a53-8ecdb3861cc9",
      "urn:uuid:92e8c070-3f75-4df4-86dd-3fdebe66df03",
      "urn:uuid:9a93e3ee-75af-4603-8af3-5487ba52f0ae",
      "urn:uuid:a43e572c-cd06-4bc8-a90f-c177c9017645",
      "urn:uuid:e43e5270-db6d-4d5d-91f9-3df3742d021b",
      "urn:uuid:e975605a-7577-4615-b024-f78011266eb4"
    ],
    "en/chapter-06/04-grassmann-algebras.md": [
      "urn:uuid:0bdd838b-0d49-44e7-8d2c-0f932b9b6db5",
      "urn:uuid:6562edc7-ace1-408a-a8bf-2bffcb6572b8",
      "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765",
      "urn:uuid:9cf8dd01-d877-4d37-a1ea-6edadf79b415",
      "urn:uuid:df7c053b-3303-442b-81a3-00ae51a17e3f",
      "urn:uuid:e77f1eb0-6ba2-47d8-aa76-663ca0eee033",
      "urn:uuid:fec421d2-e46d-4258-acc3-ef2dfb231874"
    ],
    "en/chapter-06/05-lie-algebras-and-lie-groups.md": [
      "urn:uuid:41c5a15f-f943-4381-b7e2-f4e457e84fd1",
      "urn:uuid:620a0ad6-31da-41aa-a1e4-2973bb1be058",
      "urn:uuid:7c7d436a-933b-40b7-9fbb-45f0ff035eec",
      "urn:uuid:c6303f8a-9c2e-414b-b285-c5671024e962",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354",
      "urn:uuid:ea81721c-fa04-44d4-82ca-3e47570700d4"
    ],
    "en/chapter-07/01-free-vector-spaces-and-tensor-spaces.md": [
      "urn:uuid:293da78b-f7a4-4572-b27a-2fe3d41262ce",
      "urn:uuid:36315ed7-174d-4460-b840-89d2dc130e21",
      "urn:uuid:40115c4b-1875-476b-b2eb-8f9f8b71e6bb",
      "urn:uuid:47072eab-eb7b-4766-b00a-0bf3fe867c5e",
      "urn:uuid:48420078-611a-40d6-b7c5-02935856b181",
      "urn:uuid:9ac8f727-4eb8-406f-8ac4-006f5b7d7a7f",
      "urn:uuid:f6bfef51-6914-4e59-85f0-6ef326bbef9d"
    ],
    "en/chapter-07/02-multilinear-maps-and-tensors.md": [
      "urn:uuid:17cee705-a2d5-4453-8b19-52af4f65fd59",
      "urn:uuid:4b81a76b-55e7-4097-a345-89d8b778f08e",
      "urn:uuid:96fbecaf-6992-4f99-9242-47463c445948",
      "urn:uuid:ac724144-5a08-407a-a27a-796eb367a161",
      "urn:uuid:f497b918-3708-409f-b659-4a96fef55088",
      "urn:uuid:f61ac22e-d472-4b48-a199-14591405deeb",
      "urn:uuid:fe88d3de-93f7-4d30-842e-252bfa61c2ec"
    ],
    "en/chapter-07/03-basis-representation-of-tensors.md": [
      "urn:uuid:1435ed7d-50c4-4a83-adfe-50f270d61d40"
    ],
    "en/chapter-07/04-operations-on-tensors.md": [
      "urn:uuid:09932e00-f8f2-44fe-9842-4c9fe5aa15dd",
      "urn:uuid:3a5b55ef-0814-48af-910a-8879b536855b",
      "urn:uuid:76bebde3-401f-40cd-bc29-599e3ca0eee0",
      "urn:uuid:a7683258-d9d8-48c2-a1c7-5a4a489c7aea",
      "urn:uuid:b1e90b67-3649-43c4-b3f2-a9a950456413",
      "urn:uuid:ba852562-0710-4e32-9327-b03efa03811d",
      "urn:uuid:f867d1e9-f2d3-4090-965b-3f76f6179b36"
    ],
    "en/chapter-08/01-r-vectors-and-r-forms.md": [
      "urn:uuid:6df918ba-11eb-471e-b457-1dbd53fe5c8b",
      "urn:uuid:a7683258-d9d8-48c2-a1c7-5a4a489c7aea",
      "urn:uuid:f146a3dd-50b7-455b-a3a5-c0f3aff52fe9"
    ],
    "en/chapter-08/03-exterior-product.md": [
      "urn:uuid:0bdd838b-0d49-44e7-8d2c-0f932b9b6db5",
      "urn:uuid:32f4fedb-4606-4366-ab1e-8542f7d27682",
      "urn:uuid:586481c1-ffe5-4581-a75e-5a8521c2e3fb",
      "urn:uuid:81d20637-0d3a-44fb-baa4-abe77a94ade8",
      "urn:uuid:df7c053b-3303-442b-81a3-00ae51a17e3f",
      "urn:uuid:e77f1eb0-6ba2-47d8-aa76-663ca0eee033",
      "urn:uuid:fec421d2-e46d-4258-acc3-ef2dfb231874"
    ],
    "en/chapter-08/04-interior-product.md": [
      "urn:uuid:ab0e2528-c5ad-4abe-bc3a-3011f27b7d65"
    ],
    "en/chapter-08/05-oriented-vector-spaces.md": [
      "urn:uuid:036e9782-c5c9-47d4-90c7-f64cdc08cbed",
      "urn:uuid:04c44987-c5e6-455f-8d1e-5c61314c5314",
      "urn:uuid:4473ec98-3b0f-46b4-93de-60629332ba89",
      "urn:uuid:84fdb7c6-ad08-4e44-851b-c0fbfd67193b",
      "urn:uuid:8fa4409e-023f-49f7-8576-02ebaedc634c"
    ],
    "en/chapter-08/06-the-hodge-dual.md": [
      "urn:uuid:6d1cf432-5559-4e89-afa8-dad94bcb4ee2"
    ],
    "en/chapter-09/01-minkowski-space-time.md": [
      "urn:uuid:16fe5129-802f-4513-bc1c-e3aba06cdc0a",
      "urn:uuid:184255fe-e4dd-40ca-a6b9-ec43b3eb54f1",
      "urn:uuid:32374bbc-32fd-4f94-ad88-af53a211015b",
      "urn:uuid:3449b917-afff-47a2-bbfe-9b907e1af7a4",
      "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30",
      "urn:uuid:56b3a74d-7720-4bf7-b3bd-93993f94ebf3",
      "urn:uuid:5a945993-0bbc-4b93-a027-8a9c65eadde0",
      "urn:uuid:782e15ba-ddb5-4ce8-b352-fc6e31428606",
      "urn:uuid:7df51ab3-8816-42e0-8336-5007ee59ce22",
      "urn:uuid:b642e129-ab4e-43a2-aff0-96debafdeb6e",
      "urn:uuid:b6446ff8-b20d-4aef-b0ae-fccd4af25b48",
      "urn:uuid:de88ac36-e07b-4d19-99c2-7a8b00ff4d65",
      "urn:uuid:ea1ef8ed-70b0-4b91-baa3-ae78f479f3a5",
      "urn:uuid:f54dfdc2-da4c-4991-a744-ac989d49e9ea"
    ],
    "en/chapter-09/02-relativistic-kinematics.md": [
      "urn:uuid:36553f3d-3063-49ab-861c-47fd4eec7cfd",
      "urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929",
      "urn:uuid:9391a1e9-edb1-4fe3-82c9-3be87013075a",
      "urn:uuid:ca0c8a69-312f-4ac8-8b2b-365181b6cf02",
      "urn:uuid:d9ea1a64-7c37-476f-aea3-ad513b8349d0"
    ],
    "en/chapter-09/03-particle-dynamics.md": [
      "urn:uuid:0f98d8d9-386f-44fc-b786-2c81bdb50d6e",
      "urn:uuid:41bf9209-0d1e-44a8-ad75-8dfeff9e0527",
      "urn:uuid:4f13b233-3060-4c00-a769-c558429c3aa7",
      "urn:uuid:5164558d-cd81-470d-a435-0da418a7d137",
      "urn:uuid:6c0efb7b-2257-4b78-a4a1-65e135a01339",
      "urn:uuid:a538059a-fc53-4e69-9b8b-e636980189c1",
      "urn:uuid:abba4ed9-ce64-4c31-b396-9603c74a21d9",
      "urn:uuid:af612566-84dd-4584-9981-ae83c203343a",
      "urn:uuid:c3b42b3b-ad25-42f3-96f7-5642573c8462"
    ],
    "en/chapter-09/04-electrodynamics.md": [
      "urn:uuid:0794f89e-ba01-4e3a-843d-85c9ef760fd4",
      "urn:uuid:0c5d8ec6-fa25-4c54-a29c-8c236fd5327f",
      "urn:uuid:1bb86a2d-02e3-4010-a168-8df5d51e88e1",
      "urn:uuid:3d3ba215-ed6c-45ba-a293-b2ab86c51d69",
      "urn:uuid:44dec482-bb85-495a-9d9c-d029df6deeb5",
      "urn:uuid:522df93e-8d78-4aa8-8ca3-e9c88f110c80",
      "urn:uuid:89f68268-4ac6-4fb9-bad7-bc164c2ec3ac",
      "urn:uuid:a02550bd-936b-4152-a46e-65678fcc71d3",
      "urn:uuid:da09116c-bed9-4a1f-b9ff-b0d8d5448cd0",
      "urn:uuid:f3f90259-d32d-41f1-9a3b-28ee65093e23"
    ],
    "en/chapter-09/05-conservation-laws-and-energy-stress-tensors.md": [
      "urn:uuid:758889b2-aea5-470b-8b16-c5d25f2b6ba3",
      "urn:uuid:82330dcc-48f7-4c62-89e7-748d6cbf0849",
      "urn:uuid:96348a4e-25ce-493c-a4bb-dc9b59e18d07",
      "urn:uuid:aaa78f2a-eb86-4143-83c9-e88e2bbab2bb",
      "urn:uuid:c60eeabd-be06-4756-8ba6-12e3fdc72872"
    ],
    "en/chapter-10/06-compact-spaces.md": [
      "urn:uuid:381a967a-011c-46ad-9fd8-208068cc9d29"
    ],
    "en/chapter-11/03-lebesgue-integration.md": [
      "urn:uuid:34654eec-cd5e-4045-aa32-cbbe8fd63052",
      "urn:uuid:43141104-142c-4e97-b472-61595388c16c",
      "urn:uuid:4b34c7bc-ab68-4690-952f-eec2de9e865c",
      "urn:uuid:699abcf0-77c9-4e82-a864-7d6745c8b88d"
    ],
    "en/chapter-13/01-definitions-and-examples.md": [
      "urn:uuid:34c6c0e8-a933-4a51-bbf6-7721075b239c",
      "urn:uuid:533f0fe5-106d-4d9c-8fbb-d18f91263336",
      "urn:uuid:635dc93f-838e-447c-aa5a-7f86b575919f",
      "urn:uuid:929c9263-d054-49be-a645-da3f363ec87a"
    ],
    "en/chapter-13/02-expansion-theorems.md": [
      "urn:uuid:0e2d5395-c9d1-498d-8e23-b70a76943307",
      "urn:uuid:2796d975-cc82-4cfa-a082-466a4fb5312e",
      "urn:uuid:33daafc2-7c8a-412a-b694-353c4330607e",
      "urn:uuid:46781123-db78-4492-b540-4ea28f03f02b",
      "urn:uuid:4d0a6e4e-434f-447d-a9fd-6747ab984a87",
      "urn:uuid:95c3db47-c6cf-46ca-bf3d-3fd42ed1e6eb",
      "urn:uuid:af7548ea-bfb5-40fb-8155-60d865395208",
      "urn:uuid:b2f917c9-9ada-4911-8188-2aeccc652fa5",
      "urn:uuid:bbb8c33f-05dd-4f24-a5c7-cc7a839194f8"
    ],
    "en/chapter-13/03-linear-functionals.md": [
      "urn:uuid:4843528b-7c62-4895-8f6c-b663cf7ccb91",
      "urn:uuid:8cc47160-e281-4f43-93d4-177f7b999134",
      "urn:uuid:fdb013fe-7377-4518-9301-f74c3a834eca"
    ],
    "en/chapter-13/04-bounded-linear-operators.md": [
      "urn:uuid:040e751e-8f47-4e5e-afb7-41c459e5d622",
      "urn:uuid:151179b3-1206-4b6c-a3b9-d229f1f77314",
      "urn:uuid:2cc2ae75-e460-4c7d-9b9f-acc867bbc0fb",
      "urn:uuid:424805ab-e734-4973-9608-07892429420f",
      "urn:uuid:57d0ee24-a7ce-4e13-a210-4cc1e3b00b56",
      "urn:uuid:69ef56dc-9747-4a55-a4d1-f144c0f887da",
      "urn:uuid:736457e1-a3e7-4632-a8ee-b461ed484442",
      "urn:uuid:bdb7f779-f3cc-47cb-8adf-77956a39f0d4",
      "urn:uuid:c353238d-f4ab-4fe1-9ac1-1a9f4e0317a9",
      "urn:uuid:cb1aa3aa-d213-4d5c-9061-9e805aea073a",
      "urn:uuid:d9cfc0e8-4d07-4144-9b86-a6fa7b076397"
    ],
    "en/chapter-13/05-spectral-theory.md": [
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:3c19d901-1c08-4e84-a9c5-1658b4447b88",
      "urn:uuid:517e06c6-f907-4d3f-92ca-d3b6f06a4dba",
      "urn:uuid:54d35d78-da75-48b1-bccb-144eba0804a0",
      "urn:uuid:6e3eb528-17bf-469f-92c2-4bd54698e28d",
      "urn:uuid:70bc7e53-c23f-4dca-8a30-8d362bc9f662",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:c768f687-a6f9-4e14-977a-488822437d2a"
    ],
    "en/chapter-13/06-unbounded-operators.md": [
      "urn:uuid:05d69eba-f971-4eda-9264-d2a2b9cb71b1",
      "urn:uuid:0e19be62-7905-43d9-ada6-eec68787c24a",
      "urn:uuid:1510ce98-1ea2-4c9a-8847-10f4ea3df1e4",
      "urn:uuid:19388d06-7557-4098-b606-17bd8ea7fcae",
      "urn:uuid:34c7e92b-ccec-4288-a000-265917ff0ffb",
      "urn:uuid:3774fca5-2e21-4a5d-af64-923eb14eb423",
      "urn:uuid:454e5037-ea6c-46dc-a2b9-d9b27c051ab1",
      "urn:uuid:48bd14ac-fca7-46be-b50e-f729bd475980",
      "urn:uuid:49df86f1-e435-4072-ad8f-2cf200b89a68",
      "urn:uuid:68277a25-205a-4619-9a87-590ce1565818",
      "urn:uuid:710d8b62-86d3-409e-854a-dd35ef06584b",
      "urn:uuid:7b79ad30-be49-4698-9e54-3d2c3d6fc9c2",
      "urn:uuid:8da45318-5944-4aa7-afd5-245f6894ccb2",
      "urn:uuid:909ec15d-c535-4149-b8d5-bf92d3f9da33",
      "urn:uuid:ba05cd48-5659-4250-8261-dc31a2e129be",
      "urn:uuid:bc816847-9a37-4e92-840e-b13a6380a072",
      "urn:uuid:c0c52ad6-989e-4d1b-8ed9-9f4d55ba0d40",
      "urn:uuid:d091fdbd-b578-4a81-85b8-b28b54ceaf3d"
    ],
    "en/chapter-14/01-basic-concepts.md": [
      "urn:uuid:15b77a32-b796-4d9e-9b2a-b42524bbd897",
      "urn:uuid:3a23f505-a2e2-4be4-92e0-ccc73f9a600a",
      "urn:uuid:511e56a9-12c7-411e-989a-1061fc3c2882",
      "urn:uuid:58ad6734-94de-4363-a2b2-559a9a10aebb",
      "urn:uuid:88352bef-51d3-40b4-83c8-5d8f96aae1dc",
      "urn:uuid:d07b8252-8aa0-41c2-a5b3-a8bec45db852",
      "urn:uuid:d61c6e7f-6863-4448-9bb6-4cd1788de624",
      "urn:uuid:dd5a80e1-a5d1-416d-a7bc-4bf14e593eb8",
      "urn:uuid:ec53c000-7589-4e23-86a7-e670b510905f",
      "urn:uuid:f04b510e-b8bd-425c-8eb1-73dd541662f9"
    ],
    "en/chapter-14/02-quantum-dynamics.md": [
      "urn:uuid:14f530a7-cae3-4199-a129-754aeece7b1f",
      "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786",
      "urn:uuid:4794ccb8-5d3f-4284-bb16-afe34bfa3d67",
      "urn:uuid:60d67777-0124-483d-b32a-0fed2ee2d46b",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:d24133d7-c651-4a09-95d9-bcd4dfecc852"
    ],
    "en/chapter-14/03-symmetry-transformations.md": [
      "urn:uuid:41c5a15f-f943-4381-b7e2-f4e457e84fd1",
      "urn:uuid:71a38b05-9dff-4ccf-a356-9a80cff9b371",
      "urn:uuid:97d3aaf4-eaff-44bf-9f79-29b5b6749422",
      "urn:uuid:98f78d2b-8094-41b8-a6bb-713325f793a0",
      "urn:uuid:9ea98fb4-1c1d-487a-a065-61c45b7c9ec5",
      "urn:uuid:adc722bc-8c6d-4761-904c-6d8926e72330",
      "urn:uuid:b57335c3-b291-4b5c-9ce9-0c7d580b664e",
      "urn:uuid:c68e97f6-2eed-4d37-be47-ad318e6c9ba5",
      "urn:uuid:d18ab3a8-acf6-4147-afc2-e59c5c4630dd",
      "urn:uuid:d92b0658-0c85-4297-ade9-05db9fb1b0b3",
      "urn:uuid:f737cbbc-e965-4626-9dda-4d856c66b811"
    ],
    "en/chapter-14/04-quantum-statistical-mechanics.md": [
      "urn:uuid:01ff489c-58d1-4d75-87b2-d1cd999d36bd",
      "urn:uuid:1717a8e7-a0ea-44a0-bc1a-cd3aacaac36d",
      "urn:uuid:5c04d308-9b9c-437f-b36f-ac6d05359b7c",
      "urn:uuid:64aee7f1-75c2-47b6-90c4-0117e5accf89"
    ],
    "en/chapter-15/01-differentiable-manifolds.md": [
      "urn:uuid:26de7693-2eaf-45d5-9d89-9ef22e571302",
      "urn:uuid:5297658f-b601-4564-8c96-d8298c08cad7",
      "urn:uuid:57951517-a204-4ee3-8fb0-861a36731660",
      "urn:uuid:5c84e88a-89e3-4262-b2c7-9fe2ef55d012",
      "urn:uuid:8152e9e4-6be6-4b9f-a913-969c920af277",
      "urn:uuid:a0553dab-d811-417e-8a79-67ec620792e7",
      "urn:uuid:a6a7c409-75c4-4cde-8470-bb4153ad9c9e",
      "urn:uuid:b5c8340e-ce43-47bc-9e2b-7f96cf2301a4",
      "urn:uuid:d2192d11-f0f8-4c35-a585-2094b21f2a11",
      "urn:uuid:e58c4e16-501f-4eb0-9329-1fcb4c6eaf42"
    ],
    "en/chapter-15/02-differentiable-maps-and-curves.md": [
      "urn:uuid:4be5393c-e464-4ede-ac10-bacd25e3b1e5",
      "urn:uuid:8e3f52f8-c41d-44c8-8648-f6ee019acffe"
    ],
    "en/chapter-15/03-tangent-cotangent-and-tensor-spaces.md": [
      "urn:uuid:6316e4d5-6175-4c0a-bee4-f7474c095f53",
      "urn:uuid:7206b9e2-70c8-49da-ac09-4d862fa7a1c8",
      "urn:uuid:80bbdc4e-ab1e-4ceb-b83e-6bab3749f308",
      "urn:uuid:85e79af6-5c6d-4e9b-b6b4-4ed3060bfd23",
      "urn:uuid:9b37ab33-699e-4407-9ec2-2f983ae360ed",
      "urn:uuid:9d3097aa-7a26-4f11-a534-22f5389499f0",
      "urn:uuid:c1d46382-437d-4926-a7fd-d9d0cd36a531",
      "urn:uuid:f871eb88-c0a5-4b52-8d60-f5daef5ddef1"
    ],
    "en/chapter-15/04-tangent-map-and-submanifolds.md": [
      "urn:uuid:1f605ba7-d55c-4c45-aa84-5df7c7af88e2",
      "urn:uuid:4ff6041e-629b-4166-89b6-aba165d8c15f",
      "urn:uuid:a44b2072-d453-40a7-a2d1-62be9964e197",
      "urn:uuid:ff9a93aa-d509-45d6-9110-f7207970069a"
    ],
    "en/chapter-15/05-commutators-flows-and-lie-derivatives.md": [
      "urn:uuid:042328bd-d5e2-4fe7-8a36-2a21890d5e6f",
      "urn:uuid:16292e18-9c89-4c3a-b3b4-104cec97244e",
      "urn:uuid:1a15b2f0-5129-43ae-a79b-291a51fb196e",
      "urn:uuid:1a927244-c87d-49c1-9cbe-ea6d8ae7c2d6",
      "urn:uuid:240a4900-b14c-4484-a71f-870546a4daca",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:357477c3-6241-452b-834b-833bbcf1ea71"
    ],
    "en/chapter-15/06-distributions-and-frobenius-theorem.md": [
      "urn:uuid:1e3de021-b956-44d2-baf0-fb310e41bc05",
      "urn:uuid:554bac8e-2cd1-477e-b88f-0bfc5f46da87",
      "urn:uuid:7731c967-eca6-43a2-a75d-2070d953614c",
      "urn:uuid:85919c87-f1a4-437e-a42c-b843dc737232"
    ],
    "en/chapter-16/01-differential-forms-and-exterior-derivative.md": [
      "urn:uuid:155c515c-5253-4cbe-8a74-5cac6da78138",
      "urn:uuid:245d07b1-e2d8-46ce-86c4-13d7dff9755f",
      "urn:uuid:5064fac9-6eab-41ae-8c95-5afae9141140"
    ],
    "en/chapter-16/02-properties-of-exterior-derivative.md": [
      "urn:uuid:63dd968e-0dae-45a0-98ba-06b83032ed48"
    ],
    "en/chapter-16/03-frobenius-theorem-dual-form.md": [
      "urn:uuid:8c5e05bd-6774-4afe-aae0-27aa273bad37",
      "urn:uuid:8e9b8a96-dfaf-446c-a30f-fa4a86514d82",
      "urn:uuid:a22bc13f-5935-4db9-875e-3485a213df7d",
      "urn:uuid:e710238e-7313-48c6-806b-126872e4579a"
    ],
    "en/chapter-16/04-thermodynamics.md": [
      "urn:uuid:03d3ce88-0cb0-4510-9333-51e320b269f4",
      "urn:uuid:29a54469-3dea-4ec4-ac3d-3836313569ec",
      "urn:uuid:2b09d243-b049-45c7-a004-8b1e128ddafd",
      "urn:uuid:5c46b2ed-4fca-4687-ba8b-563256d5f2f4",
      "urn:uuid:5d16fb8c-58f4-4c1b-9d25-40666fc144bd",
      "urn:uuid:6de72ff5-d330-402f-bb23-d6debf12589d",
      "urn:uuid:77ded77c-43ae-4c1e-a919-438378bd2042",
      "urn:uuid:909aa045-9701-4f8a-a442-95178cb2906d",
      "urn:uuid:9b0f1e4c-11ed-41bf-bfbb-42b4279c4916",
      "urn:uuid:d95e9522-e5e3-4131-8d6e-ee0f73b8f273",
      "urn:uuid:ee640353-55cc-42c2-9143-5dc6ddb0d74e",
      "urn:uuid:f807579a-57c3-403d-aada-e8bec3d29d6e",
      "urn:uuid:fbc344e8-0790-492c-b854-78bb211050ff"
    ],
    "en/chapter-16/05-classical-mechanics.md": [
      "urn:uuid:0a11fd94-c905-4961-b844-391fb60ef19f",
      "urn:uuid:128dd2b3-9341-4ec8-80d7-756b3c868174",
      "urn:uuid:1b151f83-697f-43f4-b6a1-aa3dfd976f64",
      "urn:uuid:1d84079a-778c-4a1c-bd5d-6518d57af2b6",
      "urn:uuid:29e9ae2c-fc05-406f-b27b-8e941535770b",
      "urn:uuid:368c43a6-d587-4e9d-96c7-99da4d648aaa",
      "urn:uuid:4f329e32-44d0-4b99-86ea-6081a59ce73d",
      "urn:uuid:58e807c5-1ecd-41cb-b5cb-d975822e7d10",
      "urn:uuid:65eda8f9-c136-46f2-bd8c-8b38b2568a34",
      "urn:uuid:68cbad9d-9f9f-49ee-93c4-039489918e96",
      "urn:uuid:7a317edb-3bbe-49f4-b908-1db5e9edf4bc",
      "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8",
      "urn:uuid:85694223-0c9f-4798-a693-c9ae294130f3",
      "urn:uuid:89f7a365-87fe-475c-a00b-27b4892ce4c3",
      "urn:uuid:bd322781-a622-431f-a000-1be56b3c37e1",
      "urn:uuid:ff25d777-490f-4ae6-b7f9-2071832df195"
    ],
    "en/chapter-17/01-partitions-of-unity.md": [
      "urn:uuid:1343270b-b407-4d8c-bb65-0292de19ed56",
      "urn:uuid:9a348175-31ec-4401-afa6-cb89bf54511c",
      "urn:uuid:a09ffd88-cf37-40f6-a917-bff05e5ec894",
      "urn:uuid:b32fccab-0ef7-4fc4-bec9-9aee534e4afc",
      "urn:uuid:defda17a-18a4-441f-bd21-63aeaa375b3f"
    ],
    "en/chapter-17/02-integration-of-n-forms.md": [
      "urn:uuid:13eb108a-e792-47e5-999f-e7000f71deee"
    ],
    "en/chapter-17/03-stokes-theorem.md": [
      "urn:uuid:110a004a-8beb-4140-bb65-e3894be9875d",
      "urn:uuid:24c541a9-58f0-4e62-b38e-b7b1496c08ce",
      "urn:uuid:2aff6b0a-acc1-4f76-b66d-c5efc8920a7c",
      "urn:uuid:2bac2a32-add3-4717-a57f-9190d1e8fb61",
      "urn:uuid:2c8de24d-b302-4e88-9c0f-db37c70e2f7d",
      "urn:uuid:56bd26c9-7d45-4391-ba3e-fb198c908665",
      "urn:uuid:79a53fad-e8c8-467b-a88d-cf89e34cad2c",
      "urn:uuid:ada8bcbb-bf0e-4ae1-8b86-90da4e5a754c"
    ],
    "en/chapter-17/04-homology-and-cohomology.md": [
      "urn:uuid:02f7a498-5c17-4366-9479-8666d5f9bb2e",
      "urn:uuid:04adfa20-e5d3-4dd7-910d-d1fc29b4820b",
      "urn:uuid:114ca9e4-e0ac-482e-9731-3186bbc7dbfa",
      "urn:uuid:1a0a5e0c-3f3c-401a-baab-d7dd7829326b",
      "urn:uuid:51b40e2c-5b4d-4919-bc65-d426422923ef",
      "urn:uuid:60fba077-e5c2-4328-a0d1-5f983d5cd780",
      "urn:uuid:61fd4411-3d4a-4e1d-8127-2b7adfd4ce07",
      "urn:uuid:6a3fc859-7a0d-492e-ba44-50b4ddc0f20f",
      "urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981",
      "urn:uuid:83c6cbb2-d720-4dd5-8186-1ceb458dfe53",
      "urn:uuid:8da45318-5944-4aa7-afd5-245f6894ccb2",
      "urn:uuid:8edfdb84-325b-48e9-8526-006d8053914f",
      "urn:uuid:91f394ee-b446-4502-be7d-9d5169bdd21e",
      "urn:uuid:a2ffc18e-1dbd-424d-a63e-775114fd3796",
      "urn:uuid:a548ce48-3340-4d0d-a18e-ca75f604678e",
      "urn:uuid:b536c648-0767-49e9-b712-1849d0825566",
      "urn:uuid:b67e7bbb-81b0-4044-bf43-bd2dcd1e0eb0",
      "urn:uuid:c15b2f02-2ed4-430f-b86c-876c372f938e",
      "urn:uuid:c26a11a5-b8bb-4cd7-8920-cd092b71eb06",
      "urn:uuid:d89858ae-0ae4-44a6-b482-787218d5e179",
      "urn:uuid:e372d315-1f44-4cdf-9f85-d01e74317539",
      "urn:uuid:eb02922d-db9b-40f3-82d7-5efdff8f6a0a"
    ],
    "en/chapter-17/05-the-poincar-e-lemma.md": [
      "urn:uuid:461a79e2-9a12-4460-a940-0b2732f8b00b",
      "urn:uuid:b5f9a010-d584-41c0-b677-d34ea1318faf",
      "urn:uuid:c5c6f787-2192-4331-ba80-8bede20d45b7",
      "urn:uuid:ec27abc0-a495-455c-887a-04ad0f3a5e76"
    ],
    "en/chapter-18/01-linear-connections-and-geodesics.md": [
      "urn:uuid:008abe3e-4b89-4b4f-9096-b685aa35da43",
      "urn:uuid:0b12bccf-e600-4e8b-8f23-c741396d237f",
      "urn:uuid:211557f7-a3f5-49e5-945e-06820fdf4de7",
      "urn:uuid:49a9d4dc-b1df-4c2f-aa1c-041435108e07",
      "urn:uuid:50a5c655-e7e1-418e-9486-178a70f24069",
      "urn:uuid:6574dc8c-d1b3-4dcc-96ce-8aa80fbe82b5",
      "urn:uuid:97514113-7cb5-48b4-9541-733ea93565c0",
      "urn:uuid:b94af6bd-ce81-4af1-b0c0-3c1c8b55401d",
      "urn:uuid:e57b6201-cfbb-4d85-b4df-5d0ab5b64e07"
    ],
    "en/chapter-18/03-curvature-and-torsion.md": [
      "urn:uuid:45ffeccd-00c3-4397-a705-466728615531",
      "urn:uuid:4cbbafec-2379-4b3d-b21a-4cc767822af7",
      "urn:uuid:83b3b28d-e254-4344-acab-c55b1176cdcd",
      "urn:uuid:99710f21-885f-448b-a6e8-4048c38b658c",
      "urn:uuid:a2bccb82-6af3-444e-8e0b-264f69e220a2",
      "urn:uuid:cb71a150-9540-4253-a1de-4fcb50907875"
    ],
    "en/chapter-18/04-pseudo-riemannian-manifolds.md": [
      "urn:uuid:2061e90b-c48d-463e-8b85-b8e1c592f56f",
      "urn:uuid:34f22db1-cc59-44be-9cd8-005c9cadb6ad",
      "urn:uuid:4447f41d-cf47-4eba-83d4-fbd2afd7d87c",
      "urn:uuid:6fd2c3b2-de81-4166-9379-10cec9081f7d",
      "urn:uuid:89f7a365-87fe-475c-a00b-27b4892ce4c3",
      "urn:uuid:9d440069-537c-483e-8258-cc51a6c2ac9c",
      "urn:uuid:ac724144-5a08-407a-a27a-796eb367a161",
      "urn:uuid:b902db54-268c-45d6-b3fa-ea53f35cb630",
      "urn:uuid:e262a216-77fe-4a42-9099-b3672c04584d",
      "urn:uuid:e5035e1d-d87c-4361-9fe6-66bcfba9ba55",
      "urn:uuid:ea0e6a8d-6c86-4e6d-b5f8-2a2357a9c182",
      "urn:uuid:f61ac22e-d472-4b48-a199-14591405deeb"
    ],
    "en/chapter-18/05-equation-of-geodesic-deviation.md": [
      "urn:uuid:93315aa2-8062-4644-a14e-60ba46bc2a42"
    ],
    "en/chapter-18/06-the-riemann-tensor-and-its-symmetries.md": [
      "urn:uuid:00d268ec-05fa-4942-85d1-a3faa750cee7",
      "urn:uuid:51590a3c-c536-46cc-82a2-1a213099de88",
      "urn:uuid:7b805cd9-a0c6-4280-9837-760dfece5b6a",
      "urn:uuid:d248e3d5-17b4-4ea4-bd69-c4feffdde743",
      "urn:uuid:e3d7ac93-909f-4ff5-9cb6-539fd4533e36"
    ],
    "en/chapter-18/07-cartan-formalism.md": [
      "urn:uuid:47cb9b8a-f841-4b73-85bc-a777473aa609",
      "urn:uuid:4fdcca86-5235-4133-887e-17b54bf1da24",
      "urn:uuid:9d30b85b-344c-429f-b827-475935331862",
      "urn:uuid:a873bf82-2f8f-4df9-bdfb-2637dc96b182",
      "urn:uuid:c7c5b229-3b71-47b1-94df-4c6f7c6b7828"
    ],
    "en/chapter-18/08-general-relativity.md": [
      "urn:uuid:4838c3a1-746c-4112-b3de-526aab1035f0",
      "urn:uuid:4b93cc33-a176-4805-bd45-238798451e0c",
      "urn:uuid:5118e748-bc6f-482a-ad9a-7a158a9252a9",
      "urn:uuid:550d1c68-68fa-4441-8e34-69825f02d844",
      "urn:uuid:74e9903d-8775-4f72-a82f-ae88bbbb06ed",
      "urn:uuid:98f26388-ced3-42da-808f-8c4fcb33803d",
      "urn:uuid:9c94cffc-a155-4a23-9c2f-298515ef4d50",
      "urn:uuid:b8325660-7a21-4972-969c-e88b5bf54aac",
      "urn:uuid:be792ca7-e48a-456a-b71a-d2e7ce013ee1",
      "urn:uuid:da39fb35-44ff-46b2-8690-4deb1759352d"
    ],
    "en/chapter-18/09-cosmology.md": [
      "urn:uuid:08c2620a-3da7-4383-ba7c-e217b3d97685",
      "urn:uuid:3fe76a4c-b5f0-4bb9-b384-5f7f83b07128",
      "urn:uuid:50efd903-fe4f-4a4d-9c73-4e7cd5e825eb",
      "urn:uuid:96689ef3-6ecf-45d5-9f2d-db37a9d82122",
      "urn:uuid:b2cbc773-02cd-4a8c-982f-cec76e5ec795",
      "urn:uuid:f43defde-548e-4e2b-8aa8-076312a3487d"
    ],
    "en/chapter-18/10-variation-principles-in-space-time.md": [
      "urn:uuid:5cac9313-3d4f-4510-8bac-b257c148accb",
      "urn:uuid:6a6a990b-27e1-42a4-8591-59e8db4625bd",
      "urn:uuid:ec41f559-b8c4-48a6-9df1-6274d5965185"
    ],
    "en/chapter-19/01-lie-groups.md": [
      "urn:uuid:02b57e3f-b649-49e8-b81d-4fff8a450e33",
      "urn:uuid:5b63b7cd-d37a-4f98-9472-ac67fe1c2dae",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:978dbe89-0e8f-46c3-b80a-20f64bb067fc",
      "urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7",
      "urn:uuid:ec9113bb-b878-409e-a9a3-73ae2ac1eaab",
      "urn:uuid:ec95f882-e96f-4231-99b7-8e9903ed60a8"
    ],
    "en/chapter-19/02-the-exponential-map.md": [
      "urn:uuid:517f0a9d-f274-4f99-8731-9dc921f8c7ac",
      "urn:uuid:537f5597-841d-4de6-85fe-976eb10c7db7",
      "urn:uuid:5a2f0d15-d50a-45f3-a76f-87e2968a6aed",
      "urn:uuid:7c7d436a-933b-40b7-9fbb-45f0ff035eec"
    ],
    "en/chapter-19/03-lie-subgroups.md": [
      "urn:uuid:03eb86c3-86f8-40cb-8e28-d7d053422767",
      "urn:uuid:27f431a1-3297-467d-9e80-14e2140b1c8e",
      "urn:uuid:f0104c54-899b-429c-808b-f923ff1a7f81",
      "urn:uuid:f64cefe3-d339-4f0e-ae61-35c7b848b740"
    ],
    "en/chapter-19/04-lie-groups-of-transformations.md": [
      "urn:uuid:01dc6c65-7574-49f1-9a55-20c52d99f5f7",
      "urn:uuid:23af9bd6-7543-4dde-91ca-b4fc9dd181d4",
      "urn:uuid:357477c3-6241-452b-834b-833bbcf1ea71",
      "urn:uuid:4aea9cc6-3e2f-45a6-bb3d-92a8c19224ae",
      "urn:uuid:8d238fdd-b982-43b3-9c41-7de28e84a222",
      "urn:uuid:d15da6db-7ba5-435d-9eec-3740a703c137",
      "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa",
      "urn:uuid:e9d708ff-0053-47d3-bf1d-21c5b4712799"
    ],
    "en/chapter-19/05-groups-of-isometries.md": [
      "urn:uuid:b808cb77-61b9-448a-9a27-f02d25fcacd0",
      "urn:uuid:be45079f-5d67-4742-8671-a499a61b9ade",
      "urn:uuid:ce4e2dec-50cc-4729-bb8e-6003fcf99e35",
      "urn:uuid:d74af6bb-82d3-4bbc-a595-a5fc7bbc03ad",
      "urn:uuid:da89c755-49c5-48dc-80ea-428c47c11355",
      "urn:uuid:f2fd5f2e-a289-4b81-842e-25df99d026cf"
    ],
    "zh/chapter-01/01-sets-and-logic.md": [
      "urn:uuid:16a93206-68c6-4611-a639-0f12fe231a59",
      "urn:uuid:20ad21a3-f998-4cb6-8041-7cd13c0d1119",
      "urn:uuid:21a7ab40-1a23-4f76-b330-509920b3fbea",
      "urn:uuid:3a308f27-dd99-4ab6-a7ae-09666829b159",
      "urn:uuid:438baf25-c35b-4694-a032-72cff4c8c469",
      "urn:uuid:45ddac14-ce30-4d20-a175-bbc4d85f45d4",
      "urn:uuid:70a8b5c8-179c-4828-a2b2-c579b0ae5301",
      "urn:uuid:7b1b9076-23b8-4ff7-9a71-51931143d125",
      "urn:uuid:7d173ecd-6ccd-485b-bbf8-a07c0afcb158",
      "urn:uuid:88b73e49-36cf-4222-b64a-abe13ee42ee5",
      "urn:uuid:93057b90-f764-44c7-b119-a2c29c5e144e",
      "urn:uuid:9e1d5449-45f6-40f9-8d47-0cf092efa242",
      "urn:uuid:c8c1d8df-16cb-4f99-a42a-17e387eef280",
      "urn:uuid:cea74f88-ca24-4874-89ca-5f0cb65d2c84",
      "urn:uuid:e5cf34a0-c35c-4078-8194-cbdb83bbc3cf"
    ],
    "zh/chapter-01/02-subsets-and-operations.md": [
      "urn:uuid:173248e5-fde2-41cb-a2da-8c6ae8ce612c",
      "urn:uuid:197008e2-3d14-48ff-ade5-a7008b2596cf",
      "urn:uuid:7a17e151-db88-404d-90a2-bc81151a1ad4",
      "urn:uuid:8055f095-5721-452c-a01e-c66adc0bb879",
      "urn:uuid:815f9a8a-fbeb-4518-ae7a-cde1b6dc1631",
      "urn:uuid:9393d6e8-2f1f-48db-b75c-81af6880c852",
      "urn:uuid:98a72c65-8dcc-43d1-b199-ee3daa22cb2c",
      "urn:uuid:be638422-462d-4f5d-a903-6026472a0465"
    ],
    "zh/chapter-01/03-products-and-relations.md": [
      "urn:uuid:09554153-3c86-4e74-bed8-77f8ade887be",
      "urn:uuid:0dec91e9-170a-4043-84b7-74ce4d1ab250",
      "urn:uuid:2396ddfd-f7f2-4e75-8107-4e0be31adab1",
      "urn:uuid:2c73285d-fc90-4fc2-a12e-b38ad067b02d",
      "urn:uuid:2d575fbe-b2df-46dc-a490-93876671fcbb",
      "urn:uuid:44c77505-82a8-434d-a726-351f2d95732f",
      "urn:uuid:8634dc6a-08e3-49e9-941d-590b27f88cfe",
      "urn:uuid:88b4f4ce-cde9-4985-b6f7-0dd2d2e234a9",
      "urn:uuid:c9f10499-c604-49be-9205-1e80391938af",
      "urn:uuid:ce472884-6d77-4065-8052-02106bdf8345",
      "urn:uuid:d092e15b-fc6b-4a6f-9f4b-b3a420ae66fc",
      "urn:uuid:d844c220-b581-45c0-9c00-86dc803161ba",
      "urn:uuid:e4dc698e-be80-42e3-aa14-c8df668fb00b",
      "urn:uuid:e5a0d3c6-87bc-459a-b42e-e7d38b8d1601",
      "urn:uuid:ea55b93f-5b50-4f2c-9ba9-7c9507a138e9",
      "urn:uuid:fe80fb2d-f836-47e5-9297-3c634d6df6af"
    ],
    "zh/chapter-01/04-mappings.md": [
      "urn:uuid:1ad7f304-3bf4-48cb-a56f-44b509bd7bd7",
      "urn:uuid:2e84c121-965c-417d-93ec-e9ac516e3b29",
      "urn:uuid:2fe19f0b-4db1-4a5b-b7e1-dd0e6281d9a0",
      "urn:uuid:3451c6bf-4a36-41fe-9926-ea47ffdecc9e",
      "urn:uuid:47c1c428-f32a-4c45-8750-2dc68caad65e",
      "urn:uuid:488b6a4d-4c6a-499a-8696-328fc48e46e8",
      "urn:uuid:5c98a7ca-5c42-4f2b-9236-86c453eddf68",
      "urn:uuid:67953d1f-38a5-442e-8fff-e9ceae6b7a78",
      "urn:uuid:6f40b78d-cde2-42bd-a896-bdc671395837",
      "urn:uuid:850fd218-36a7-4024-b096-39443088c1ec",
      "urn:uuid:9778c275-047c-4ba5-88d8-10a3f4eb2a5a",
      "urn:uuid:97b3a40b-9b3f-4b28-b8ce-5cd7d2a62e46",
      "urn:uuid:a0c09675-2669-4494-a712-c29017a7b391",
      "urn:uuid:aa2120c3-751f-4f90-944f-26ec8d4c046f",
      "urn:uuid:b74f81a5-eb04-4d44-8595-eaa96ef287ed",
      "urn:uuid:d091fdbd-b578-4a81-85b8-b28b54ceaf3d",
      "urn:uuid:fab6468b-8179-4027-92d5-5cb6648106f9"
    ],
    "zh/chapter-01/05-infinite-sets.md": [
      "urn:uuid:06fabb9a-f268-4d2b-8732-263ac9213a4d",
      "urn:uuid:1ee2a9ac-e285-44ea-b156-a143a1875246",
      "urn:uuid:3ac29f1f-bcfb-44ee-a0ae-8ca8187902cb",
      "urn:uuid:41a13648-f379-4328-a0b6-0429f53c6e80",
      "urn:uuid:61fd4411-3d4a-4e1d-8127-2b7adfd4ce07",
      "urn:uuid:739df8ae-bbd0-4c6d-9e4c-4211b47052b4",
      "urn:uuid:76dbfbbc-79a6-4b5a-88d3-c31378d27611",
      "urn:uuid:831ad068-9b9d-44d5-bf37-2ad01936ba60",
      "urn:uuid:9b99a8bf-735d-4de5-a8d9-ce80d7f1104a",
      "urn:uuid:a846c946-b159-4fed-8f94-14622a9bc324",
      "urn:uuid:a9c977eb-c3c5-4c7a-9c4f-0eb222bec3c6",
      "urn:uuid:be9d7d7b-195a-4a88-864a-6fd1e6eaf2f7",
      "urn:uuid:d174ff8b-b83a-45b5-9080-8dfedd238cb1"
    ],
    "zh/chapter-01/06-structures.md": [
      "urn:uuid:0c15fecc-5d6e-48bc-9312-d07a837d2de9",
      "urn:uuid:1ebf8613-2556-44a4-854a-86128769ba52",
      "urn:uuid:2f65813e-7535-4165-b134-2c2b474cf7e7",
      "urn:uuid:39c9ede5-d966-4d1a-a6f5-6118869c3c2c",
      "urn:uuid:4a4cc83b-b7d3-45bb-aab2-a4918310d48a",
      "urn:uuid:4ff6041e-629b-4166-89b6-aba165d8c15f",
      "urn:uuid:65fcf7f9-2b97-4221-82f1-04d6d6e4fcfa",
      "urn:uuid:770e9a05-d59d-49d2-9fae-012d9ba3edec",
      "urn:uuid:7e5d331b-ce3d-481b-9afe-f2111adc6389",
      "urn:uuid:84677aa0-3aca-48a1-8a10-3da6b818b8b9",
      "urn:uuid:94ed061d-4936-4c6b-81d0-953dbc6bdb3d",
      "urn:uuid:997dc740-d5b3-48e6-ad69-9d4d90ed540f",
      "urn:uuid:c3ac7e5b-190b-46ab-86f5-5288c831eecc",
      "urn:uuid:e9b498c1-1ead-4794-9793-bdac714417f5"
    ],
    "zh/chapter-01/07-category-theory.md": [
      "urn:uuid:07b47fe2-da51-4781-9b26-57197986cbf7",
      "urn:uuid:55363d96-9a7f-484d-be57-a1e93ae4df55",
      "urn:uuid:64ff3c19-0344-41c8-936c-4336e0d0b760",
      "urn:uuid:aa2761c6-6e45-430f-9851-bb20306ec735",
      "urn:uuid:bf12827c-4e18-4a4b-b0cd-beaf17f4c035",
      "urn:uuid:cd7c1e52-5581-4c58-a6a9-96f8fbe4fcfe",
      "urn:uuid:db9228a3-e5a9-49b1-b8d6-6fe8691929c2"
    ],
    "zh/chapter-02/01-elements-of-group-theory.md": [
      "urn:uuid:1eb6bc94-07d7-48f3-b03b-60b1c2dbb415",
      "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
      "urn:uuid:38710033-3794-4234-8bbd-5f060b249b28",
      "urn:uuid:5cb523fb-06b4-4068-b362-7aeed13d453e",
      "urn:uuid:5cbf52ee-08a7-4a19-bb31-d97ab8d074f7",
      "urn:uuid:605a5909-d1a3-4540-a329-5ee89aa7b684",
      "urn:uuid:6eff4cba-09bf-4c84-8892-38a06c0c6495",
      "urn:uuid:72d9a1a7-0fe9-42c3-b382-6505d27a9f1b",
      "urn:uuid:764ff34c-80fe-4a25-87b4-e031da4b19a7",
      "urn:uuid:770e9a05-d59d-49d2-9fae-012d9ba3edec",
      "urn:uuid:91c6b7de-78fd-4b5a-9d1e-2b69ee97ba8e",
      "urn:uuid:9da874db-a055-441b-9133-1a2d9c5350ce",
      "urn:uuid:e6dd2937-0598-4aa9-bbf2-317c9e35c0e6",
      "urn:uuid:f7a3ed41-d4ca-42c5-91ea-dfc1a0dc4b7b",
      "urn:uuid:ff7730a6-70b3-41c7-82df-49ecbed5b2ad"
    ],
    "zh/chapter-02/02-transformation-and-permutation-groups.md": [
      "urn:uuid:013665e1-3304-480f-81d6-f8f99a56381e",
      "urn:uuid:26cfbcfb-a481-41ee-a74f-cd41f06ecb0f",
      "urn:uuid:67f5150b-6d3e-43d0-969c-f7387ec86069",
      "urn:uuid:71a38b05-9dff-4ccf-a356-9a80cff9b371",
      "urn:uuid:9b61e2c0-8342-477e-aaf1-6d5cb829583d",
      "urn:uuid:a0008efe-3fef-4617-9ff0-159a32b75bde",
      "urn:uuid:a548ce48-3340-4d0d-a18e-ca75f604678e",
      "urn:uuid:d8b640a2-2675-4f90-bc60-7149b8de3db9",
      "urn:uuid:da4ce753-9ccb-45b5-8261-ebb7a2d228c4"
    ],
    "zh/chapter-02/03-matrix-groups.md": [
      "urn:uuid:05f42bf3-d38b-49e0-bed7-1d0452d9ac3d",
      "urn:uuid:14cdbba0-4af8-4d23-a2a9-3cfb5c0ad747",
      "urn:uuid:2b8f1e0e-bfcc-4391-ace1-5809a76204e3",
      "urn:uuid:40d6866d-20db-4677-a0d2-a4922f349cd2",
      "urn:uuid:44a389d2-b094-42fc-b6bb-a92cd24cdadc",
      "urn:uuid:459d2b29-b1f3-4298-b1f9-2df232c37b62",
      "urn:uuid:45d0c13b-cde3-424f-8e70-a8c56a307519",
      "urn:uuid:5a7c372b-6b23-4115-8129-84b5fad3a591",
      "urn:uuid:68e0c96d-dfe2-418d-b27a-df73bf8da23b",
      "urn:uuid:75bc1017-57ee-403b-b328-c878447ef56e",
      "urn:uuid:79adeeff-76cb-4c6b-a103-039043f484ac",
      "urn:uuid:860ec6cb-b0fa-4738-8ece-bdbebb0bdddf",
      "urn:uuid:9452675b-d56a-4a38-90c9-9efa189f3d94",
      "urn:uuid:98d3a096-7153-450f-9725-091ca1eea20c",
      "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028",
      "urn:uuid:9c0cba6a-c2b4-4c44-b15e-b04e84d239af",
      "urn:uuid:a723cc18-0199-4733-acfe-3fc04d0940d3",
      "urn:uuid:ad387b8d-f991-4582-8e16-befebd6f9f7f",
      "urn:uuid:ae68704b-48d9-4342-ba60-9973c64e5093",
      "urn:uuid:da263550-52cd-4a77-a46e-6941bd680d63",
      "urn:uuid:e29afcc7-47f4-48fe-8dfe-d51873f245ba",
      "urn:uuid:edd7f89f-e056-451f-ad73-b5ff6144b48f",
      "urn:uuid:f64cefe3-d339-4f0e-ae61-35c7b848b740"
    ],
    "zh/chapter-02/04-homomorphisms-and-isomorphisms.md": [
      "urn:uuid:057330d9-9ff5-427f-a15c-73c814aa8a20",
      "urn:uuid:159b1327-9fd5-45ae-8358-8a668636d673",
      "urn:uuid:38649abc-85e1-4f7f-af1d-9f644a37a91b",
      "urn:uuid:3e749de6-9d6f-43ea-a6de-ddff7c549a00",
      "urn:uuid:5fca732b-96e6-4605-8410-8351c5d1f96a",
      "urn:uuid:a21851fd-d421-4e32-9a3b-46fc03a5df9a",
      "urn:uuid:e5f6579c-3285-4510-9961-6c2647fe987c",
      "urn:uuid:fe4e122c-475a-40c8-9152-313db9f50745"
    ],
    "zh/chapter-02/05-normal-subgroups-and-factor-groups.md": [
      "urn:uuid:0267f40f-cd9e-43de-8086-9a9f751a68b8",
      "urn:uuid:092b1d87-e948-49ed-b814-4d97167d0db4",
      "urn:uuid:16df3086-ee73-47de-8a9c-e0a17709c146",
      "urn:uuid:29ff0c46-457b-4746-9a48-2753ab5bbc85",
      "urn:uuid:34d7ee62-cceb-462f-a9c9-8307ed5c5244",
      "urn:uuid:5f7e4cb8-69a7-4933-854b-6e7bbc93a0f1",
      "urn:uuid:6328536c-e4a4-4277-b275-0a8a7146d152",
      "urn:uuid:861e1ce9-8826-4d7f-b756-fead75d051ac",
      "urn:uuid:a62c9f7e-718e-4a9b-8f98-17ec505fd6e9",
      "urn:uuid:dbf8f503-ae98-47ba-af2c-59f26dab3447",
      "urn:uuid:e5df3ee6-ad9c-4544-bf44-ea5c27385154"
    ],
    "zh/chapter-02/06-group-actions.md": [
      "urn:uuid:0809d0aa-e86c-401e-a94a-b029224f7535",
      "urn:uuid:1015d31e-07e0-47cf-8a6d-4020f4408a3f",
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:357477c3-6241-452b-834b-833bbcf1ea71",
      "urn:uuid:8d238fdd-b982-43b3-9c41-7de28e84a222",
      "urn:uuid:e9d708ff-0053-47d3-bf1d-21c5b4712799",
      "urn:uuid:ffc34fd9-952c-491c-a016-5b629c2b2135"
    ],
    "zh/chapter-02/07-symmetry-groups.md": [
      "urn:uuid:126c82d1-85b0-4175-af2f-9d01a27e0e2e",
      "urn:uuid:14a17663-a83c-4229-aa36-585971c3f84f",
      "urn:uuid:15b28761-a301-4d39-b113-7b1f58d08987",
      "urn:uuid:16fe5129-802f-4513-bc1c-e3aba06cdc0a",
      "urn:uuid:32374bbc-32fd-4f94-ad88-af53a211015b",
      "urn:uuid:3449b917-afff-47a2-bbfe-9b907e1af7a4",
      "urn:uuid:4ce8148b-d4ae-4583-8172-277abeeb26cf",
      "urn:uuid:782e15ba-ddb5-4ce8-b352-fc6e31428606",
      "urn:uuid:8bd3bc1a-11d0-46f7-81ea-1188f7ddb154",
      "urn:uuid:937e2225-ecf0-4854-ab8b-d17f476f7021",
      "urn:uuid:9ada65b6-1571-46df-a3d0-bb2763594eff",
      "urn:uuid:a56ff642-210c-4826-b97b-1990fb6e62a3",
      "urn:uuid:b9250f96-c06a-4ae1-ab1f-8035202bea26",
      "urn:uuid:be792ca7-e48a-456a-b71a-d2e7ce013ee1",
      "urn:uuid:bf847762-9cf4-4164-962c-97558cdc6762",
      "urn:uuid:c65e599c-ab76-4124-9f5a-0f1f9997e585"
    ],
    "zh/chapter-03/01-rings-and-fields.md": [
      "urn:uuid:b1e9ae23-1814-48c8-8a33-0b0337c674d8",
      "urn:uuid:c16f8888-996a-428f-a6b8-a4de7e108868"
    ],
    "zh/chapter-03/02-vector-spaces.md": [
      "urn:uuid:17eeb36d-36ff-4715-8dd6-5eca459daf1e",
      "urn:uuid:21e4a707-dc48-420c-8294-547e3a049005",
      "urn:uuid:54e19cc9-1e38-4128-acaa-80499dfd908c",
      "urn:uuid:aaec29ac-0cc2-4aa6-aa59-fe4a1cfbe6c5",
      "urn:uuid:d693259b-a955-4659-a88a-5d8e134f2d48",
      "urn:uuid:e802c467-fbf7-473a-9f3a-bc65a40b9b9b",
      "urn:uuid:fd5c405e-c47e-4504-8fe9-fd9eaa0ea089"
    ],
    "zh/chapter-03/03-vector-space-homomorphisms.md": [
      "urn:uuid:39428ebb-bc71-4f72-9ebe-c940f88d9879",
      "urn:uuid:44a389d2-b094-42fc-b6bb-a92cd24cdadc",
      "urn:uuid:4702877e-2ad4-4875-8a27-ef99339c8553",
      "urn:uuid:9a7432a7-4b27-41b4-83d5-d9b6ff0ce028",
      "urn:uuid:eba919b4-fdf9-44e7-85e3-f560aa4c7943",
      "urn:uuid:f72b5959-0f5c-4871-ad33-b1809f9920cb"
    ],
    "zh/chapter-03/04-vector-subspaces-and-quotient-spaces.md": [
      "urn:uuid:009d7313-1b0f-44a9-b25f-fa3b3005458d",
      "urn:uuid:084c39fe-d9c8-4937-9eca-f4baca436916",
      "urn:uuid:2f193cba-653a-4154-850a-a379f0081576",
      "urn:uuid:3e59dd1f-a3b0-4189-8bc8-363be7807161",
      "urn:uuid:57d0ee24-a7ce-4e13-a210-4cc1e3b00b56",
      "urn:uuid:593dc0f6-cda0-4a27-a905-4d9a84968af1",
      "urn:uuid:6779b152-105a-4fbc-b6e6-aa3246282ea0",
      "urn:uuid:a62c9f7e-718e-4a9b-8f98-17ec505fd6e9",
      "urn:uuid:c03015ff-9150-4204-b5f2-9fbc19660ab2"
    ],
    "zh/chapter-03/05-bases-of-a-vector-space.md": [
      "urn:uuid:3ef9fce1-922f-464f-b973-2d43ecaddccd",
      "urn:uuid:400f1610-1eba-4c3c-830b-e21ea6965065",
      "urn:uuid:4d8daf81-914a-426c-9cc7-534fc6eed006",
      "urn:uuid:55c8e28c-473e-4094-89d6-2a1ea16879e3",
      "urn:uuid:7e3b88ac-3d0c-45bd-82d8-090fd0c22b05",
      "urn:uuid:a7f1665c-c377-4cb5-8778-59e8e0abffc1",
      "urn:uuid:c721f2ec-d052-4cd6-a1b4-e27216b017b1",
      "urn:uuid:f214d7a0-7106-43ff-bc0a-3801debd64c2",
      "urn:uuid:fa3d2ab8-a4c9-4465-af9e-abe1be4c093d"
    ],
    "zh/chapter-03/06-summation-convention-and-transformation-of-bases.md": [
      "urn:uuid:1bc09023-d978-4710-a687-1c826fbdf172",
      "urn:uuid:295f8e59-9315-4d22-98cc-e13dd1b2f3c8",
      "urn:uuid:3c375c9d-6401-49d6-bf50-aae52921d4a5",
      "urn:uuid:546a74e5-bfed-4ce4-9b19-041d5fdfb388",
      "urn:uuid:695999e5-a66d-4ad1-8aab-178887ad28d1",
      "urn:uuid:79adeeff-76cb-4c6b-a103-039043f484ac",
      "urn:uuid:79d0e08a-17dd-4d77-a721-5b936ec5fc47",
      "urn:uuid:ee67ea84-09a6-429a-9539-9a7bdf49ef37",
      "urn:uuid:f37c195f-7103-4aa4-968c-6fbb8cd23223"
    ],
    "zh/chapter-03/07-dual-spaces.md": [
      "urn:uuid:1212910c-fd6e-468e-8315-db95c69ef22e",
      "urn:uuid:19d0d910-333a-4359-9edf-c6a555de1f6d",
      "urn:uuid:38526a73-c4a9-4cef-bdee-8d961da25fda",
      "urn:uuid:5ec7eeb5-1b45-4838-b12f-549245d4018b",
      "urn:uuid:68e0c96d-dfe2-418d-b27a-df73bf8da23b",
      "urn:uuid:88770359-f6f1-49c9-a368-973cc82bb90f",
      "urn:uuid:933abc9a-7725-4444-8639-3a20824a352e",
      "urn:uuid:d6eb757d-a21e-4186-8ccf-544d77c8e86d"
    ],
    "zh/chapter-04/01-eigenspaces-and-characteristic-equations.md": [
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:482ee8fb-4b0d-42dc-a313-c214cae1ff1e",
      "urn:uuid:520edeaf-4bda-4c66-87bb-d6ba7a65f4ef",
      "urn:uuid:56b0284d-ea52-4730-baef-596780d61dcd",
      "urn:uuid:6265e6d8-3613-43e1-bb52-65b36182c218",
      "urn:uuid:6f5daf0f-3239-4be3-915a-185f62d60224",
      "urn:uuid:761461ce-048a-4c1f-8316-6b32c6043b81",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:88d6ad6c-87e4-4223-b3e8-c33c364f0070",
      "urn:uuid:9395d494-7be0-4d0f-8429-30b4f311266c",
      "urn:uuid:aec6e1be-5a6e-4322-9fb6-47824c0fb508"
    ],
    "zh/chapter-04/02-jordan-canonical-form.md": [
      "urn:uuid:503e7b48-5ef7-4bf8-b4ab-31d04aaa1559",
      "urn:uuid:59e47f44-f852-42f8-ab47-64d212447691",
      "urn:uuid:e332b565-6ba9-49f9-939f-cb84097991ee",
      "urn:uuid:f91d641b-1b8e-4482-9b47-7180cea2ef53"
    ],
    "zh/chapter-04/03-linear-ordinary-differential-equations.md": [
      "urn:uuid:01ba5fba-f97d-4088-b58f-f176a5eaa6ce",
      "urn:uuid:0fbe108b-1f27-4fb8-83b1-605f2050e9a7",
      "urn:uuid:156a1541-7be0-497b-99b7-df1db1262250",
      "urn:uuid:278239da-53dc-45e3-8256-1f7bdcdc9037",
      "urn:uuid:2f6a696e-9405-429a-a1c7-180a8a780010",
      "urn:uuid:57790a83-4023-48b5-9e26-ff4c19323c91",
      "urn:uuid:a4292ed1-76f5-4176-966f-5c9b3c78a5be",
      "urn:uuid:dac5e65a-561e-483e-a1a3-0d1cd0217757",
      "urn:uuid:e78e5ed4-5e08-4f53-918c-3931da7a7083"
    ],
    "zh/chapter-04/04-introduction-to-group-representation-theory.md": [
      "urn:uuid:023d3b84-da9a-4667-8674-d5b9ccbed948",
      "urn:uuid:1273c312-ea76-4998-85e7-e75280ef3ebb",
      "urn:uuid:1c8384ff-2641-4168-ba63-d81a2dffcea1",
      "urn:uuid:30471a7b-45c7-4fed-b604-6391300884fa",
      "urn:uuid:32e00ccc-beaf-4a1d-987e-5b5c58a23d2b",
      "urn:uuid:4e9e2c89-0422-42cf-8762-6b5e59837ef0",
      "urn:uuid:9e24a1e3-d6ef-4cdf-8871-7731a246b44d",
      "urn:uuid:a6bac404-ae9c-41fe-b818-5b13db52a897",
      "urn:uuid:c1e17053-8805-4fd9-93e0-eb9997fdaf8f"
    ],
    "zh/chapter-05/01-real-inner-product-spaces.md": [
      "urn:uuid:05370b36-295b-4888-ab89-d433d246e4eb",
      "urn:uuid:1438172c-4529-4171-9338-e797f954f1fb",
      "urn:uuid:1510ce98-1ea2-4c9a-8847-10f4ea3df1e4",
      "urn:uuid:17c9f610-9860-4c29-9004-115ae6174af4",
      "urn:uuid:253d9f09-01fb-4357-9e2c-0221063865de",
      "urn:uuid:2ed710df-ecf3-492f-9156-7475f79446ce",
      "urn:uuid:4843528b-7c62-4895-8f6c-b663cf7ccb91",
      "urn:uuid:60808942-4f7a-44c9-85de-4b3cf47ec7dd",
      "urn:uuid:60d65a35-60d7-43a2-8535-99cfced50031",
      "urn:uuid:858a3ad2-68c0-4b1b-936e-0524ef5b00a1",
      "urn:uuid:b5a8ec0e-a1f9-44eb-9ffc-7094a35eae32",
      "urn:uuid:c9477834-26c4-4a2b-85fb-2253be1709bf",
      "urn:uuid:dab77b33-384c-47d5-b9d2-1649b126f195",
      "urn:uuid:dabe32db-8d84-4c17-9eeb-583f0609a265",
      "urn:uuid:e98e09ca-6bd2-49f0-92f7-1860bb397f02",
      "urn:uuid:f1871003-5561-4817-861b-c7259f0f4e9e",
      "urn:uuid:fc0ae0df-4043-4beb-be49-1664bb2bfb3c"
    ],
    "zh/chapter-05/02-complex-inner-product-spaces.md": [
      "urn:uuid:10861f1d-f72d-4e92-808c-bba46d7cd49c",
      "urn:uuid:27f7027f-1327-4cb7-a562-0f72318ff75c",
      "urn:uuid:34c6c0e8-a933-4a51-bbf6-7721075b239c",
      "urn:uuid:556c76cb-7433-4f01-86f1-cbbf0bc6fe95",
      "urn:uuid:56523306-74f3-4753-8214-d0bfa68bc5d5",
      "urn:uuid:5fa3bea4-1680-4d31-b2ad-fdff06b948d1",
      "urn:uuid:678d826e-ad2c-493f-8187-25c5734f0232",
      "urn:uuid:737defc6-6789-4cdd-87f7-63952cdef118",
      "urn:uuid:9dc809a9-95f3-4c45-bb82-06dd391d1f6b",
      "urn:uuid:bd926011-fb15-41ba-8200-7005cf33325f",
      "urn:uuid:c68e97f6-2eed-4d37-be47-ad318e6c9ba5",
      "urn:uuid:c7a78756-912d-4e4f-a31b-762d35ae477b",
      "urn:uuid:cd664333-1e91-40f6-879d-2b48d97fc6d5",
      "urn:uuid:f1bc887f-aba2-4c03-a6e1-1bd0892e42e5"
    ],
    "zh/chapter-05/03-representations-of-finite-groups.md": [
      "urn:uuid:0b6ae429-3502-4988-a9be-fb41373ed628",
      "urn:uuid:0e089f2b-e34d-4704-b872-f7d22b1e323f",
      "urn:uuid:69b28db8-59b4-4cec-a6a3-1770de5f7384",
      "urn:uuid:8adb7f10-55df-4db3-bbdc-c44765232a11",
      "urn:uuid:c75b3404-beda-4f83-b6ce-b1d83e5669ad",
      "urn:uuid:fdb013fe-7377-4518-9301-f74c3a834eca"
    ],
    "zh/chapter-06/01-algebras-and-ideals.md": [
      "urn:uuid:0e0a5217-4c69-4190-ab6a-89df2645a4ff",
      "urn:uuid:6ee05280-22fc-4e93-a374-8fa890e7552e",
      "urn:uuid:72d78a90-b76f-446c-b447-6704c9f5842c",
      "urn:uuid:7e2e6da6-b92e-45a5-b490-c11370b027b4",
      "urn:uuid:903209da-385d-464a-8d57-61b71d54e2e8",
      "urn:uuid:984484bb-484a-47b5-89ac-6eb7a35f9f7c",
      "urn:uuid:cf37a212-b028-47fc-9040-136c5bb702d7",
      "urn:uuid:e1f26ebb-28aa-46e5-8109-2a53560d9964",
      "urn:uuid:e5d1ce04-babc-4a8b-b31d-f65f6ed73aca",
      "urn:uuid:e74a2efd-e969-4049-93b3-d9c7d69f9d11",
      "urn:uuid:f0e269d8-bae5-4032-9611-4e7c7b5f8518"
    ],
    "zh/chapter-06/02-complex-numbers-and-complex-structures.md": [
      "urn:uuid:9e862121-659d-4ec4-8d9f-204bdd709d9f",
      "urn:uuid:eaa8baed-19fe-4db6-a610-2a84829b114d",
      "urn:uuid:fcfb759a-7e9c-4fdf-aafb-dc2c25046515"
    ],
    "zh/chapter-06/03-quaternions-and-clifford-algebras.md": [
      "urn:uuid:1975f833-3088-44ad-97dd-6f1f7cf97583",
      "urn:uuid:26ae89e4-05be-4f48-9a53-8ecdb3861cc9",
      "urn:uuid:92e8c070-3f75-4df4-86dd-3fdebe66df03",
      "urn:uuid:9a93e3ee-75af-4603-8af3-5487ba52f0ae",
      "urn:uuid:a43e572c-cd06-4bc8-a90f-c177c9017645",
      "urn:uuid:e43e5270-db6d-4d5d-91f9-3df3742d021b",
      "urn:uuid:e975605a-7577-4615-b024-f78011266eb4"
    ],
    "zh/chapter-06/04-grassmann-algebras.md": [
      "urn:uuid:0bdd838b-0d49-44e7-8d2c-0f932b9b6db5",
      "urn:uuid:6562edc7-ace1-408a-a8bf-2bffcb6572b8",
      "urn:uuid:702031d8-e347-4935-9f9b-7a2ddeabb765",
      "urn:uuid:9cf8dd01-d877-4d37-a1ea-6edadf79b415",
      "urn:uuid:df7c053b-3303-442b-81a3-00ae51a17e3f",
      "urn:uuid:e77f1eb0-6ba2-47d8-aa76-663ca0eee033",
      "urn:uuid:fec421d2-e46d-4258-acc3-ef2dfb231874"
    ],
    "zh/chapter-06/05-lie-algebras-and-lie-groups.md": [
      "urn:uuid:41c5a15f-f943-4381-b7e2-f4e457e84fd1",
      "urn:uuid:620a0ad6-31da-41aa-a1e4-2973bb1be058",
      "urn:uuid:7c7d436a-933b-40b7-9fbb-45f0ff035eec",
      "urn:uuid:c30bfb5d-dc0a-47ce-8225-a08fe05164ac",
      "urn:uuid:dd6db1c0-26e6-4777-a6c3-84c28f8fd354",
      "urn:uuid:ea81721c-fa04-44d4-82ca-3e47570700d4"
    ],
    "zh/chapter-07/01-free-vector-spaces-and-tensor-spaces.md": [
      "urn:uuid:293da78b-f7a4-4572-b27a-2fe3d41262ce",
      "urn:uuid:29ce5567-7fa2-4197-bafd-711866405ac1",
      "urn:uuid:36315ed7-174d-4460-b840-89d2dc130e21",
      "urn:uuid:40115c4b-1875-476b-b2eb-8f9f8b71e6bb",
      "urn:uuid:47072eab-eb7b-4766-b00a-0bf3fe867c5e",
      "urn:uuid:48420078-611a-40d6-b7c5-02935856b181",
      "urn:uuid:9ac8f727-4eb8-406f-8ac4-006f5b7d7a7f",
      "urn:uuid:f6bfef51-6914-4e59-85f0-6ef326bbef9d"
    ],
    "zh/chapter-07/02-multilinear-maps-and-tensors.md": [
      "urn:uuid:17cee705-a2d5-4453-8b19-52af4f65fd59",
      "urn:uuid:2d72c1c4-0bf9-45f2-8afb-09fd91d06565",
      "urn:uuid:4b81a76b-55e7-4097-a345-89d8b778f08e",
      "urn:uuid:96fbecaf-6992-4f99-9242-47463c445948",
      "urn:uuid:ac724144-5a08-407a-a27a-796eb367a161",
      "urn:uuid:f497b918-3708-409f-b659-4a96fef55088",
      "urn:uuid:f61ac22e-d472-4b48-a199-14591405deeb"
    ],
    "zh/chapter-07/03-basis-representation-of-tensors.md": [
      "urn:uuid:1435ed7d-50c4-4a83-adfe-50f270d61d40"
    ],
    "zh/chapter-07/04-operations-on-tensors.md": [
      "urn:uuid:3a5b55ef-0814-48af-910a-8879b536855b",
      "urn:uuid:76bebde3-401f-40cd-bc29-599e3ca0eee0",
      "urn:uuid:9386ac37-5b97-4db1-aabf-051fc76c47d5",
      "urn:uuid:af3d858c-3f7c-4b30-9ec1-451a71456675",
      "urn:uuid:b1e90b67-3649-43c4-b3f2-a9a950456413",
      "urn:uuid:ba852562-0710-4e32-9327-b03efa03811d",
      "urn:uuid:f867d1e9-f2d3-4090-965b-3f76f6179b36"
    ],
    "zh/chapter-08/01-r-vectors-and-r-forms.md": [
      "urn:uuid:6df918ba-11eb-471e-b457-1dbd53fe5c8b",
      "urn:uuid:af3d858c-3f7c-4b30-9ec1-451a71456675",
      "urn:uuid:f146a3dd-50b7-455b-a3a5-c0f3aff52fe9"
    ],
    "zh/chapter-08/03-exterior-product.md": [
      "urn:uuid:0bdd838b-0d49-44e7-8d2c-0f932b9b6db5",
      "urn:uuid:32f4fedb-4606-4366-ab1e-8542f7d27682",
      "urn:uuid:586481c1-ffe5-4581-a75e-5a8521c2e3fb",
      "urn:uuid:81d20637-0d3a-44fb-baa4-abe77a94ade8",
      "urn:uuid:df7c053b-3303-442b-81a3-00ae51a17e3f",
      "urn:uuid:e77f1eb0-6ba2-47d8-aa76-663ca0eee033",
      "urn:uuid:fec421d2-e46d-4258-acc3-ef2dfb231874"
    ],
    "zh/chapter-08/04-interior-product.md": [
      "urn:uuid:ab0e2528-c5ad-4abe-bc3a-3011f27b7d65"
    ],
    "zh/chapter-08/05-oriented-vector-spaces.md": [
      "urn:uuid:036e9782-c5c9-47d4-90c7-f64cdc08cbed",
      "urn:uuid:04c44987-c5e6-455f-8d1e-5c61314c5314",
      "urn:uuid:4473ec98-3b0f-46b4-93de-60629332ba89",
      "urn:uuid:67922473-e00b-4db9-ae57-12f963c33087",
      "urn:uuid:84fdb7c6-ad08-4e44-851b-c0fbfd67193b"
    ],
    "zh/chapter-08/06-the-hodge-dual.md": [
      "urn:uuid:6d1cf432-5559-4e89-afa8-dad94bcb4ee2"
    ],
    "zh/chapter-09/01-minkowski-space-time.md": [
      "urn:uuid:16fe5129-802f-4513-bc1c-e3aba06cdc0a",
      "urn:uuid:184255fe-e4dd-40ca-a6b9-ec43b3eb54f1",
      "urn:uuid:32374bbc-32fd-4f94-ad88-af53a211015b",
      "urn:uuid:3449b917-afff-47a2-bbfe-9b907e1af7a4",
      "urn:uuid:3fafde9b-d338-4ed8-8089-0bfa0ee48b30",
      "urn:uuid:56b3a74d-7720-4bf7-b3bd-93993f94ebf3",
      "urn:uuid:5a945993-0bbc-4b93-a027-8a9c65eadde0",
      "urn:uuid:782e15ba-ddb5-4ce8-b352-fc6e31428606",
      "urn:uuid:7df51ab3-8816-42e0-8336-5007ee59ce22",
      "urn:uuid:b642e129-ab4e-43a2-aff0-96debafdeb6e",
      "urn:uuid:b6446ff8-b20d-4aef-b0ae-fccd4af25b48",
      "urn:uuid:de88ac36-e07b-4d19-99c2-7a8b00ff4d65",
      "urn:uuid:ea1ef8ed-70b0-4b91-baa3-ae78f479f3a5",
      "urn:uuid:f54dfdc2-da4c-4991-a744-ac989d49e9ea"
    ],
    "zh/chapter-09/02-relativistic-kinematics.md": [
      "urn:uuid:36553f3d-3063-49ab-861c-47fd4eec7cfd",
      "urn:uuid:45e9d7e5-ed93-488b-af37-b939eda83929",
      "urn:uuid:9391a1e9-edb1-4fe3-82c9-3be87013075a",
      "urn:uuid:ca0c8a69-312f-4ac8-8b2b-365181b6cf02",
      "urn:uuid:d9ea1a64-7c37-476f-aea3-ad513b8349d0"
    ],
    "zh/chapter-09/03-particle-dynamics.md": [
      "urn:uuid:0f98d8d9-386f-44fc-b786-2c81bdb50d6e",
      "urn:uuid:41bf9209-0d1e-44a8-ad75-8dfeff9e0527",
      "urn:uuid:4f13b233-3060-4c00-a769-c558429c3aa7",
      "urn:uuid:5164558d-cd81-470d-a435-0da418a7d137",
      "urn:uuid:6c0efb7b-2257-4b78-a4a1-65e135a01339",
      "urn:uuid:a538059a-fc53-4e69-9b8b-e636980189c1",
      "urn:uuid:abba4ed9-ce64-4c31-b396-9603c74a21d9",
      "urn:uuid:af612566-84dd-4584-9981-ae83c203343a",
      "urn:uuid:c3b42b3b-ad25-42f3-96f7-5642573c8462"
    ],
    "zh/chapter-09/04-electrodynamics.md": [
      "urn:uuid:0c5d8ec6-fa25-4c54-a29c-8c236fd5327f",
      "urn:uuid:1bb86a2d-02e3-4010-a168-8df5d51e88e1",
      "urn:uuid:3d3ba215-ed6c-45ba-a293-b2ab86c51d69",
      "urn:uuid:44dec482-bb85-495a-9d9c-d029df6deeb5",
      "urn:uuid:522df93e-8d78-4aa8-8ca3-e9c88f110c80",
      "urn:uuid:89f68268-4ac6-4fb9-bad7-bc164c2ec3ac",
      "urn:uuid:a02550bd-936b-4152-a46e-65678fcc71d3",
      "urn:uuid:c2cf2f8f-2a79-4942-863c-c7fc5e8bd40f",
      "urn:uuid:da09116c-bed9-4a1f-b9ff-b0d8d5448cd0",
      "urn:uuid:f3f90259-d32d-41f1-9a3b-28ee65093e23"
    ],
    "zh/chapter-09/05-conservation-laws-and-energy-stress-tensors.md": [
      "urn:uuid:758889b2-aea5-470b-8b16-c5d25f2b6ba3",
      "urn:uuid:82330dcc-48f7-4c62-89e7-748d6cbf0849",
      "urn:uuid:96348a4e-25ce-493c-a4bb-dc9b59e18d07",
      "urn:uuid:aaa78f2a-eb86-4143-83c9-e88e2bbab2bb",
      "urn:uuid:c60eeabd-be06-4756-8ba6-12e3fdc72872"
    ],
    "zh/chapter-10/01-euclidean-topology.md": [
      "urn:uuid:4630b373-c711-4f78-89ac-9d391ebb15dc",
      "urn:uuid:c3ac7e5b-190b-46ab-86f5-5288c831eecc",
      "urn:uuid:cd84b279-ed33-43fd-be4d-3bf0bfb28da5",
      "urn:uuid:e8a77376-44a4-487c-87d1-0aefde24c786",
      "urn:uuid:ea27b1d9-445a-474d-a590-170a34051242",
      "urn:uuid:ed082212-4450-43ff-be65-96e35fa3d058"
    ],
    "zh/chapter-10/02-general-topological-spaces.md": [
      "urn:uuid:0009d7dc-5f4f-4928-a8cc-fa12def8161c",
      "urn:uuid:09ac0761-d818-449e-99c7-82395e89dbeb",
      "urn:uuid:0effb2c1-c32e-4d63-80be-762ba1393f3b",
      "urn:uuid:1ae3cb73-f44a-4483-b175-f7481d779ac8",
      "urn:uuid:1ebf8613-2556-44a4-854a-86128769ba52",
      "urn:uuid:219d9a3a-91e9-494e-a7b3-9e7b8ac0a94a",
      "urn:uuid:24dc4f81-4498-495a-a55e-63506d0e67b4",
      "urn:uuid:2796d975-cc82-4cfa-a082-466a4fb5312e",
      "urn:uuid:3b04747e-23e9-4c1b-86a6-e07fc32de2e1",
      "urn:uuid:3fbea852-b7db-4f32-9aa8-190e797cd8b0",
      "urn:uuid:45298e19-ae4b-4100-9b74-56f108e83258",
      "urn:uuid:45a8647a-b930-455d-8207-7edbb089a132",
      "urn:uuid:51ded9e4-c533-4884-81e6-0b62a8516850",
      "urn:uuid:5838084a-ffaf-428a-80a9-26e5da5f38c4",
      "urn:uuid:640c9ebf-7397-4394-831d-69f5853ac5c8",
      "urn:uuid:7c674ad2-04ad-4bb5-8434-a4c7b804b02c",
      "urn:uuid:8205a1b2-9f2c-420f-852b-e8664f601938",
      "urn:uuid:8df99f4d-d7ad-420b-9593-8e737c9fdcd1",
      "urn:uuid:8e591054-5de3-450f-95bc-7ec9335b2228",
      "urn:uuid:93c1d325-7d4a-436d-83b1-bce5bbeb4016",
      "urn:uuid:97f428fa-4790-4aff-9bc7-7928fe489d3c",
      "urn:uuid:99d3a8fc-4856-47a6-824e-8ee0083dec99",
      "urn:uuid:a54a08d4-ec2f-4235-9680-8694b869f6ef",
      "urn:uuid:b28960be-19c3-42ff-a50a-61fe827934e3",
      "urn:uuid:b2f917c9-9ada-4911-8188-2aeccc652fa5",
      "urn:uuid:ca484c0c-e258-4cd3-8802-13fd736f4a07",
      "urn:uuid:cb88c09e-14e0-4771-bcbb-e14fb4570805",
      "urn:uuid:d89858ae-0ae4-44a6-b482-787218d5e179",
      "urn:uuid:e1980619-7994-4c07-9945-6a75719f35d0"
    ],
    "zh/chapter-10/03-metric-spaces.md": [
      "urn:uuid:135f90bc-5ac6-4fc2-a4f1-8642700ae19a",
      "urn:uuid:1f8aca83-3403-4584-b621-eed33886f812",
      "urn:uuid:31e7202c-8861-477b-9c46-0e0f2c97ff2c",
      "urn:uuid:737defc6-6789-4cdd-87f7-63952cdef118",
      "urn:uuid:9ecea840-2cf6-4b0e-9f6c-8d08670a4b94",
      "urn:uuid:d1c09844-e7aa-40eb-9ee7-c1c3ddf68490",
      "urn:uuid:fc7ee2f4-4b46-4d4c-9f66-cdc82f1fb7ec"
    ],
    "zh/chapter-10/04-induced-topologies.md": [
      "urn:uuid:27e5661f-6553-4188-ae36-895e9a5bbe86",
      "urn:uuid:73c98f07-9d4e-4cc9-bae7-adbe213355fe",
      "urn:uuid:75e9bd12-9b58-4080-8f6c-d42cdf594c77",
      "urn:uuid:77a824d6-26bb-46ec-826c-b7c60478bfea",
      "urn:uuid:8bed2d93-396b-4829-9d37-d34ecc7e93b7",
      "urn:uuid:f5be2df2-a716-470d-93b8-2043adf53100",
      "urn:uuid:fee87ca7-4cd9-4a1f-ab6b-9f29f4e871d4"
    ],
    "zh/chapter-10/05-hausdorff-spaces.md": [
      "urn:uuid:60db439c-bb38-47a0-bfe5-c7459f8e6090",
      "urn:uuid:dd2edcc6-b7f4-409f-bb17-9ef6212acc44"
    ],
    "zh/chapter-10/06-compact-spaces.md": [
      "urn:uuid:15bc6cfe-c68f-43af-aed8-4b5136e30628",
      "urn:uuid:381a967a-011c-46ad-9fd8-208068cc9d29",
      "urn:uuid:40652117-ec64-4eda-8fa8-bdfb858b1aa2",
      "urn:uuid:52e98d74-140a-45ae-9670-fcdb38942d97",
      "urn:uuid:77d78323-eba1-47e1-ada3-16aa434adb16",
      "urn:uuid:9cd293e5-41f8-41f6-bc80-04d11b5fe31b",
      "urn:uuid:de104b91-ca80-4552-9289-c6856691399d"
    ],
    "zh/chapter-10/07-connected-spaces.md": [
      "urn:uuid:82292311-3a67-40cb-98ef-cfcad48c9f28",
      "urn:uuid:a6c5c20e-3e73-4361-880e-3e496f4f25b2",
      "urn:uuid:d2b497ed-d240-4e7e-953e-13baf5792584"
    ],
    "zh/chapter-10/08-topological-groups.md": [
      "urn:uuid:03eb86c3-86f8-40cb-8e28-d7d053422767",
      "urn:uuid:278b7ab5-c1c7-44b6-9b34-05f394a2a1cb",
      "urn:uuid:4ed166c8-a90c-4c52-9bd7-db726835b380",
      "urn:uuid:6dbf77e2-01b5-48e1-8fc5-8ff5b9354b60",
      "urn:uuid:75b2c385-ada6-413b-bae4-727c2bb7d894",
      "urn:uuid:8b3f9405-d392-41a2-9fc5-9a4dc5f7b0bc",
      "urn:uuid:a0657410-f98f-4bcb-9554-b3cc8a38759a",
      "urn:uuid:eecc1ebf-eaa6-4cf7-8236-131513de65d2"
    ],
    "zh/chapter-10/09-topological-vector-spaces.md": [
      "urn:uuid:11c7fa5b-d5f8-40eb-ae0b-7e37ff4bebb1",
      "urn:uuid:27f7027f-1327-4cb7-a562-0f72318ff75c",
      "urn:uuid:6250cac8-1454-4728-8e48-1890f9a62edf",
      "urn:uuid:9f888a8d-f2d1-435c-9a64-9e5410e6148c",
      "urn:uuid:b91ff137-b70e-4b45-b5a8-d7d8478cc0f2",
      "urn:uuid:e7ec5e64-4438-4d30-83bd-f2ea3808a960"
    ],
    "zh/chapter-11/01-measurable-spaces-and-functions.md": [
      "urn:uuid:0f3e2bdd-02cb-43d0-b1da-3a225197856f",
      "urn:uuid:38b6973b-8b4f-4cd3-97ae-bb7e46697725",
      "urn:uuid:44bd4ec6-ac9e-4294-b54f-0decd732aeb5",
      "urn:uuid:526b3bdf-ba92-439a-b9d5-23fa4279be45",
      "urn:uuid:6923d159-9120-4de8-aad5-aaf9baa64b37",
      "urn:uuid:8ef2b38f-1f13-42b5-bdfd-e9450c87b6e8",
      "urn:uuid:8fe45994-d5c0-4ad0-af56-77339775e681",
      "urn:uuid:9679e150-e342-4615-98e6-84014c53d162",
      "urn:uuid:9aae2266-af5b-4543-9ecd-4efcddaf22f8",
      "urn:uuid:b2eadd99-3d29-457f-8e36-92406c08f412",
      "urn:uuid:e41d2f97-2b81-41a5-a89e-a1df482c0028"
    ],
    "zh/chapter-11/02-measure-spaces.md": [
      "urn:uuid:08d376ac-f1ed-48fd-b44d-f1fd161e5431",
      "urn:uuid:2cf3719f-bc6d-437a-96f9-c39c07fde7b9",
      "urn:uuid:496d1b66-73ef-4e6a-965e-6e67183f7c50",
      "urn:uuid:6ea19025-a4ce-4bee-961e-befcd91fd68a",
      "urn:uuid:79d21424-1731-4347-b63d-0f59a181f111",
      "urn:uuid:99e2c957-1871-4274-8461-a308d395c420",
      "urn:uuid:a687cd39-e408-4054-9a16-38a0e5adc054",
      "urn:uuid:adc2298d-a628-495d-aacf-599f09c84dd9",
      "urn:uuid:b7c5da7f-0ff9-4a9d-814c-974d791729c9",
      "urn:uuid:bbaa06a0-b3ff-4f57-818c-60cf45c8c9e7",
      "urn:uuid:bd8e72eb-158e-4dd0-a213-78b06d6ba9d5",
      "urn:uuid:be792ca7-e48a-456a-b71a-d2e7ce013ee1",
      "urn:uuid:c4872e54-8e98-4b2d-803d-b1a24bfb06ce",
      "urn:uuid:ea0d1e41-8e16-4ced-92e0-4c4b1ba5dba9",
      "urn:uuid:fe8f24c1-1db7-4f49-8858-a645d47c4c7f"
    ],
    "zh/chapter-11/03-lebesgue-integration.md": [
      "urn:uuid:34654eec-cd5e-4045-aa32-cbbe8fd63052",
      "urn:uuid:43141104-142c-4e97-b472-61595388c16c",
      "urn:uuid:4b34c7bc-ab68-4690-952f-eec2de9e865c",
      "urn:uuid:65be7ead-b922-4a43-96c6-d0ecf43ce2b2",
      "urn:uuid:699abcf0-77c9-4e82-a864-7d6745c8b88d",
      "urn:uuid:7dc71b7b-0612-46b1-88a7-e838f7ee6134",
      "urn:uuid:9c65e0ef-4b4f-4119-8cd8-d4144a929324",
      "urn:uuid:b6f607ec-8378-466a-8a92-5b116928a84f",
      "urn:uuid:f311149d-8641-4993-b10c-1279d63e9f69",
      "urn:uuid:fa326fe3-78cc-44bb-94ae-3aac6356d8e4"
    ],
    "zh/chapter-12/01-test-functions-and-distributions.md": [
      "urn:uuid:0cd6ae01-9496-4b3f-b107-1404b29acdb4",
      "urn:uuid:13eb108a-e792-47e5-999f-e7000f71deee",
      "urn:uuid:4e808969-ade5-405c-b05b-2e0bbaaadafa",
      "urn:uuid:593cdd72-5635-4c79-a9c7-b99346d7c2e1",
      "urn:uuid:6a25e9a4-78c0-4b7a-bfe0-2b96d45c1ef2",
      "urn:uuid:704f26e9-640a-4a8e-bdd2-2b6d97745986",
      "urn:uuid:7731c967-eca6-43a2-a75d-2070d953614c",
      "urn:uuid:7ac7a4ad-6823-4306-900a-903e3b8e9a27",
      "urn:uuid:978636a4-0d2c-40e2-8800-0037500324a9",
      "urn:uuid:9ea30020-de0b-4e68-a69f-2702d7b9caa8",
      "urn:uuid:ef60bda0-3f62-4112-9dfa-81af9938599d"
    ],
    "zh/chapter-12/02-operations-on-distributions.md": [
      "urn:uuid:3e9c67a0-81ad-468d-a98c-68d3af104351",
      "urn:uuid:c7a623f9-79cd-45e9-ad58-94b359b2bff2"
    ],
    "zh/chapter-12/03-fourier-transforms.md": [
      "urn:uuid:0851ac8c-a0a1-496c-8033-9592bf23ad8c",
      "urn:uuid:0af8418c-bf2a-4a4f-9b66-1dc813c55557",
      "urn:uuid:379e1338-0ea5-4619-b007-835a58c6e36c",
      "urn:uuid:9108ce8e-1818-467c-a25f-8675415492dd"
    ],
    "zh/chapter-12/04-green-s-functions.md": [
      "urn:uuid:087cfd6b-1fc8-40c8-aaf7-ce2bfb1f24bf",
      "urn:uuid:a0f33d5b-4bdb-46e8-ae40-393c840c6f62",
      "urn:uuid:a7f6804f-360a-47ea-85b6-df05f924dc3c",
      "urn:uuid:fea39ea6-6745-42be-a5cf-5ad1ad507793",
      "urn:uuid:ff9f20ff-7034-4ebd-b37a-fa0a5de1c451"
    ],
    "zh/chapter-13/01-definitions-and-examples.md": [
      "urn:uuid:34c6c0e8-a933-4a51-bbf6-7721075b239c",
      "urn:uuid:533f0fe5-106d-4d9c-8fbb-d18f91263336",
      "urn:uuid:635dc93f-838e-447c-aa5a-7f86b575919f",
      "urn:uuid:929c9263-d054-49be-a645-da3f363ec87a"
    ],
    "zh/chapter-13/02-expansion-theorems.md": [
      "urn:uuid:0e2d5395-c9d1-498d-8e23-b70a76943307",
      "urn:uuid:2796d975-cc82-4cfa-a082-466a4fb5312e",
      "urn:uuid:33daafc2-7c8a-412a-b694-353c4330607e",
      "urn:uuid:46781123-db78-4492-b540-4ea28f03f02b",
      "urn:uuid:4d0a6e4e-434f-447d-a9fd-6747ab984a87",
      "urn:uuid:95c3db47-c6cf-46ca-bf3d-3fd42ed1e6eb",
      "urn:uuid:af7548ea-bfb5-40fb-8155-60d865395208",
      "urn:uuid:b2f917c9-9ada-4911-8188-2aeccc652fa5",
      "urn:uuid:bbb8c33f-05dd-4f24-a5c7-cc7a839194f8"
    ],
    "zh/chapter-13/03-linear-functionals.md": [
      "urn:uuid:4843528b-7c62-4895-8f6c-b663cf7ccb91",
      "urn:uuid:8cc47160-e281-4f43-93d4-177f7b999134",
      "urn:uuid:fdb013fe-7377-4518-9301-f74c3a834eca"
    ],
    "zh/chapter-13/04-bounded-linear-operators.md": [
      "urn:uuid:040e751e-8f47-4e5e-afb7-41c459e5d622",
      "urn:uuid:151179b3-1206-4b6c-a3b9-d229f1f77314",
      "urn:uuid:2cc2ae75-e460-4c7d-9b9f-acc867bbc0fb",
      "urn:uuid:424805ab-e734-4973-9608-07892429420f",
      "urn:uuid:57d0ee24-a7ce-4e13-a210-4cc1e3b00b56",
      "urn:uuid:69ef56dc-9747-4a55-a4d1-f144c0f887da",
      "urn:uuid:736457e1-a3e7-4632-a8ee-b461ed484442",
      "urn:uuid:bdb7f779-f3cc-47cb-8adf-77956a39f0d4",
      "urn:uuid:c353238d-f4ab-4fe1-9ac1-1a9f4e0317a9",
      "urn:uuid:cb1aa3aa-d213-4d5c-9061-9e805aea073a",
      "urn:uuid:d9cfc0e8-4d07-4144-9b86-a6fa7b076397"
    ],
    "zh/chapter-13/05-spectral-theory.md": [
      "urn:uuid:19c6e3d7-39e1-4c32-8812-3bd9d8a9958e",
      "urn:uuid:3c19d901-1c08-4e84-a9c5-1658b4447b88",
      "urn:uuid:517e06c6-f907-4d3f-92ca-d3b6f06a4dba",
      "urn:uuid:54d35d78-da75-48b1-bccb-144eba0804a0",
      "urn:uuid:6e3eb528-17bf-469f-92c2-4bd54698e28d",
      "urn:uuid:70bc7e53-c23f-4dca-8a30-8d362bc9f662",
      "urn:uuid:76dd2837-afb9-4545-a9b3-37d92e61b023",
      "urn:uuid:c768f687-a6f9-4e14-977a-488822437d2a"
    ],
    "zh/chapter-13/06-unbounded-operators.md": [
      "urn:uuid:05d69eba-f971-4eda-9264-d2a2b9cb71b1",
      "urn:uuid:0e19be62-7905-43d9-ada6-eec68787c24a",
      "urn:uuid:1510ce98-1ea2-4c9a-8847-10f4ea3df1e4",
      "urn:uuid:19388d06-7557-4098-b606-17bd8ea7fcae",
      "urn:uuid:34c7e92b-ccec-4288-a000-265917ff0ffb",
      "urn:uuid:3774fca5-2e21-4a5d-af64-923eb14eb423",
      "urn:uuid:454e5037-ea6c-46dc-a2b9-d9b27c051ab1",
      "urn:uuid:48bd14ac-fca7-46be-b50e-f729bd475980",
      "urn:uuid:49df86f1-e435-4072-ad8f-2cf200b89a68",
      "urn:uuid:68277a25-205a-4619-9a87-590ce1565818",
      "urn:uuid:710d8b62-86d3-409e-854a-dd35ef06584b",
      "urn:uuid:7b79ad30-be49-4698-9e54-3d2c3d6fc9c2",
      "urn:uuid:8da45318-5944-4aa7-afd5-245f6894ccb2",
      "urn:uuid:909ec15d-c535-4149-b8d5-bf92d3f9da33",
      "urn:uuid:ba05cd48-5659-4250-8261-dc31a2e129be",
      "urn:uuid:bc816847-9a37-4e92-840e-b13a6380a072",
      "urn:uuid:c0c52ad6-989e-4d1b-8ed9-9f4d55ba0d40",
      "urn:uuid:d091fdbd-b578-4a81-85b8-b28b54ceaf3d"
    ],
    "zh/chapter-14/01-basic-concepts.md": [
      "urn:uuid:15b77a32-b796-4d9e-9b2a-b42524bbd897",
      "urn:uuid:3a23f505-a2e2-4be4-92e0-ccc73f9a600a",
      "urn:uuid:511e56a9-12c7-411e-989a-1061fc3c2882",
      "urn:uuid:88352bef-51d3-40b4-83c8-5d8f96aae1dc",
      "urn:uuid:af56883b-d7e8-4c1e-b9c0-a181f6c21c39",
      "urn:uuid:d07b8252-8aa0-41c2-a5b3-a8bec45db852",
      "urn:uuid:dd5a80e1-a5d1-416d-a7bc-4bf14e593eb8",
      "urn:uuid:ec53c000-7589-4e23-86a7-e670b510905f",
      "urn:uuid:f04b510e-b8bd-425c-8eb1-73dd541662f9",
      "urn:uuid:fdc31736-bf4c-4021-8259-dc9238e311cc"
    ],
    "zh/chapter-14/02-quantum-dynamics.md": [
      "urn:uuid:14f530a7-cae3-4199-a129-754aeece7b1f",
      "urn:uuid:1f30c21f-6f29-4be4-8c57-f3cdbc4c3786",
      "urn:uuid:3eb9597a-ad5c-4bc3-96cd-60280ad79388",
      "urn:uuid:4794ccb8-5d3f-4284-bb16-afe34bfa3d67",
      "urn:uuid:ce9d1194-5bd1-4a10-bd18-3aa212bbd0c7",
      "urn:uuid:d24133d7-c651-4a09-95d9-bcd4dfecc852"
    ],
    "zh/chapter-14/03-symmetry-transformations.md": [
      "urn:uuid:1c7f22da-eed4-4732-89e8-1921feebfcf0",
      "urn:uuid:38ecd601-9467-4080-844c-8b76816d3b95",
      "urn:uuid:41c5a15f-f943-4381-b7e2-f4e457e84fd1",
      "urn:uuid:71a38b05-9dff-4ccf-a356-9a80cff9b371",
      "urn:uuid:97d3aaf4-eaff-44bf-9f79-29b5b6749422",
      "urn:uuid:98f78d2b-8094-41b8-a6bb-713325f793a0",
      "urn:uuid:adc722bc-8c6d-4761-904c-6d8926e72330",
      "urn:uuid:b57335c3-b291-4b5c-9ce9-0c7d580b664e",
      "urn:uuid:cc06cd52-4f36-4489-a96f-da283bf71562",
      "urn:uuid:d18ab3a8-acf6-4147-afc2-e59c5c4630dd",
      "urn:uuid:d92b0658-0c85-4297-ade9-05db9fb1b0b3"
    ],
    "zh/chapter-14/04-quantum-statistical-mechanics.md": [
      "urn:uuid:01ff489c-58d1-4d75-87b2-d1cd999d36bd",
      "urn:uuid:1717a8e7-a0ea-44a0-bc1a-cd3aacaac36d",
      "urn:uuid:5c04d308-9b9c-437f-b36f-ac6d05359b7c",
      "urn:uuid:64aee7f1-75c2-47b6-90c4-0117e5accf89"
    ],
    "zh/chapter-15/01-differentiable-manifolds.md": [
      "urn:uuid:26de7693-2eaf-45d5-9d89-9ef22e571302",
      "urn:uuid:5297658f-b601-4564-8c96-d8298c08cad7",
      "urn:uuid:57951517-a204-4ee3-8fb0-861a36731660",
      "urn:uuid:5c84e88a-89e3-4262-b2c7-9fe2ef55d012",
      "urn:uuid:8152e9e4-6be6-4b9f-a913-969c920af277",
      "urn:uuid:a0553dab-d811-417e-8a79-67ec620792e7",
      "urn:uuid:a6a7c409-75c4-4cde-8470-bb4153ad9c9e",
      "urn:uuid:d2192d11-f0f8-4c35-a585-2094b21f2a11",
      "urn:uuid:e58c4e16-501f-4eb0-9329-1fcb4c6eaf42",
      "urn:uuid:e84fb5d6-7851-4bfc-be91-04e92cda6b7e"
    ],
    "zh/chapter-15/02-differentiable-maps-and-curves.md": [
      "urn:uuid:4be5393c-e464-4ede-ac10-bacd25e3b1e5",
      "urn:uuid:8e3f52f8-c41d-44c8-8648-f6ee019acffe"
    ],
    "zh/chapter-15/03-tangent-cotangent-and-tensor-spaces.md": [
      "urn:uuid:6316e4d5-6175-4c0a-bee4-f7474c095f53",
      "urn:uuid:7206b9e2-70c8-49da-ac09-4d862fa7a1c8",
      "urn:uuid:80bbdc4e-ab1e-4ceb-b83e-6bab3749f308",
      "urn:uuid:85e79af6-5c6d-4e9b-b6b4-4ed3060bfd23",
      "urn:uuid:9b37ab33-699e-4407-9ec2-2f983ae360ed",
      "urn:uuid:9d3097aa-7a26-4f11-a534-22f5389499f0",
      "urn:uuid:c1d46382-437d-4926-a7fd-d9d0cd36a531",
      "urn:uuid:f871eb88-c0a5-4b52-8d60-f5daef5ddef1"
    ],
    "zh/chapter-15/04-tangent-map-and-submanifolds.md": [
      "urn:uuid:1f605ba7-d55c-4c45-aa84-5df7c7af88e2",
      "urn:uuid:4ff6041e-629b-4166-89b6-aba165d8c15f",
      "urn:uuid:a44b2072-d453-40a7-a2d1-62be9964e197",
      "urn:uuid:ff9a93aa-d509-45d6-9110-f7207970069a"
    ],
    "zh/chapter-15/05-commutators-flows-and-lie-derivatives.md": [
      "urn:uuid:042328bd-d5e2-4fe7-8a36-2a21890d5e6f",
      "urn:uuid:16292e18-9c89-4c3a-b3b4-104cec97244e",
      "urn:uuid:1a15b2f0-5129-43ae-a79b-291a51fb196e",
      "urn:uuid:1a927244-c87d-49c1-9cbe-ea6d8ae7c2d6",
      "urn:uuid:240a4900-b14c-4484-a71f-870546a4daca",
      "urn:uuid:2ec20f01-7d55-4d42-bfe7-cf436d149036",
      "urn:uuid:357477c3-6241-452b-834b-833bbcf1ea71"
    ],
    "zh/chapter-15/06-distributions-and-frobenius-theorem.md": [
      "urn:uuid:1e3de021-b956-44d2-baf0-fb310e41bc05",
      "urn:uuid:554bac8e-2cd1-477e-b88f-0bfc5f46da87",
      "urn:uuid:7731c967-eca6-43a2-a75d-2070d953614c",
      "urn:uuid:9bcdf532-9fed-4389-8edd-48cb894e1be9"
    ],
    "zh/chapter-16/01-differential-forms-and-exterior-derivative.md": [
      "urn:uuid:09b09776-2ccb-431b-b988-a10df4323428",
      "urn:uuid:245d07b1-e2d8-46ce-86c4-13d7dff9755f",
      "urn:uuid:5064fac9-6eab-41ae-8c95-5afae9141140"
    ],
    "zh/chapter-16/02-properties-of-exterior-derivative.md": [
      "urn:uuid:63dd968e-0dae-45a0-98ba-06b83032ed48"
    ],
    "zh/chapter-16/03-frobenius-theorem-dual-form.md": [
      "urn:uuid:8c5e05bd-6774-4afe-aae0-27aa273bad37",
      "urn:uuid:8e9b8a96-dfaf-446c-a30f-fa4a86514d82",
      "urn:uuid:a22bc13f-5935-4db9-875e-3485a213df7d",
      "urn:uuid:e710238e-7313-48c6-806b-126872e4579a"
    ],
    "zh/chapter-16/04-thermodynamics.md": [
      "urn:uuid:03d3ce88-0cb0-4510-9333-51e320b269f4",
      "urn:uuid:065a4491-0bf8-406c-8c15-8091c5689490",
      "urn:uuid:14623694-1df3-4e83-a965-41f9ba35cef2",
      "urn:uuid:29a54469-3dea-4ec4-ac3d-3836313569ec",
      "urn:uuid:2b09d243-b049-45c7-a004-8b1e128ddafd",
      "urn:uuid:5d16fb8c-58f4-4c1b-9d25-40666fc144bd",
      "urn:uuid:640cbf2a-bf3f-465e-a7f9-0d97c48f0e1f",
      "urn:uuid:77ded77c-43ae-4c1e-a919-438378bd2042",
      "urn:uuid:9b0f1e4c-11ed-41bf-bfbb-42b4279c4916",
      "urn:uuid:d95e9522-e5e3-4131-8d6e-ee0f73b8f273",
      "urn:uuid:ee640353-55cc-42c2-9143-5dc6ddb0d74e",
      "urn:uuid:f807579a-57c3-403d-aada-e8bec3d29d6e",
      "urn:uuid:fbc344e8-0790-492c-b854-78bb211050ff"
    ],
    "zh/chapter-16/05-classical-mechanics.md": [
      "urn:uuid:0a11fd94-c905-4961-b844-391fb60ef19f",
      "urn:uuid:128dd2b3-9341-4ec8-80d7-756b3c868174",
      "urn:uuid:1b151f83-697f-43f4-b6a1-aa3dfd976f64",
      "urn:uuid:29e9ae2c-fc05-406f-b27b-8e941535770b",
      "urn:uuid:368c43a6-d587-4e9d-96c7-99da4d648aaa",
      "urn:uuid:4f329e32-44d0-4b99-86ea-6081a59ce73d",
      "urn:uuid:58e807c5-1ecd-41cb-b5cb-d975822e7d10",
      "urn:uuid:65eda8f9-c136-46f2-bd8c-8b38b2568a34",
      "urn:uuid:68cbad9d-9f9f-49ee-93c4-039489918e96",
      "urn:uuid:7a317edb-3bbe-49f4-b908-1db5e9edf4bc",
      "urn:uuid:7b1bcc34-9228-486b-b886-65ee155c86a8",
      "urn:uuid:85694223-0c9f-4798-a693-c9ae294130f3",
      "urn:uuid:89f7a365-87fe-475c-a00b-27b4892ce4c3",
      "urn:uuid:bd322781-a622-431f-a000-1be56b3c37e1",
      "urn:uuid:fa2ca729-0b3e-4cc8-8d07-b3c46fd2db3f",
      "urn:uuid:ff25d777-490f-4ae6-b7f9-2071832df195"
    ],
    "zh/chapter-17/01-partitions-of-unity.md": [
      "urn:uuid:1343270b-b407-4d8c-bb65-0292de19ed56",
      "urn:uuid:9a348175-31ec-4401-afa6-cb89bf54511c",
      "urn:uuid:a09ffd88-cf37-40f6-a917-bff05e5ec894",
      "urn:uuid:b32fccab-0ef7-4fc4-bec9-9aee534e4afc",
      "urn:uuid:defda17a-18a4-441f-bd21-63aeaa375b3f"
    ],
    "zh/chapter-17/02-integration-of-n-forms.md": [
      "urn:uuid:13eb108a-e792-47e5-999f-e7000f71deee"
    ],
    "zh/chapter-17/03-stokes-theorem.md": [
      "urn:uuid:10ef9d40-5020-4092-b70f-6d91f54ca82c",
      "urn:uuid:110a004a-8beb-4140-bb65-e3894be9875d",
      "urn:uuid:24c541a9-58f0-4e62-b38e-b7b1496c08ce",
      "urn:uuid:2aff6b0a-acc1-4f76-b66d-c5efc8920a7c",
      "urn:uuid:2bac2a32-add3-4717-a57f-9190d1e8fb61",
      "urn:uuid:2c8de24d-b302-4e88-9c0f-db37c70e2f7d",
      "urn:uuid:56bd26c9-7d45-4391-ba3e-fb198c908665",
      "urn:uuid:5bf1070c-8b77-468e-8316-4cfb10732c62"
    ],
    "zh/chapter-17/04-homology-and-cohomology.md": [
      "urn:uuid:02f7a498-5c17-4366-9479-8666d5f9bb2e",
      "urn:uuid:04adfa20-e5d3-4dd7-910d-d1fc29b4820b",
      "urn:uuid:114ca9e4-e0ac-482e-9731-3186bbc7dbfa",
      "urn:uuid:4f8194d3-f4b1-47a6-8101-aa8cd016f6e1",
      "urn:uuid:51b40e2c-5b4d-4919-bc65-d426422923ef",
      "urn:uuid:523d476d-e383-44e0-8cab-50d9f2859647",
      "urn:uuid:60fba077-e5c2-4328-a0d1-5f983d5cd780",
      "urn:uuid:61fd4411-3d4a-4e1d-8127-2b7adfd4ce07",
      "urn:uuid:6a3fc859-7a0d-492e-ba44-50b4ddc0f20f",
      "urn:uuid:7c7c4b86-63b1-451e-b0be-15f02ebca981",
      "urn:uuid:83c6cbb2-d720-4dd5-8186-1ceb458dfe53",
      "urn:uuid:8edfdb84-325b-48e9-8526-006d8053914f",
      "urn:uuid:91f394ee-b446-4502-be7d-9d5169bdd21e",
      "urn:uuid:a548ce48-3340-4d0d-a18e-ca75f604678e",
      "urn:uuid:b536c648-0767-49e9-b712-1849d0825566",
      "urn:uuid:b67e7bbb-81b0-4044-bf43-bd2dcd1e0eb0",
      "urn:uuid:c15b2f02-2ed4-430f-b86c-876c372f938e",
      "urn:uuid:c26a11a5-b8bb-4cd7-8920-cd092b71eb06",
      "urn:uuid:c7b763c7-2046-4023-85d1-954aaaf12c0d",
      "urn:uuid:d89858ae-0ae4-44a6-b482-787218d5e179",
      "urn:uuid:e372d315-1f44-4cdf-9f85-d01e74317539",
      "urn:uuid:eb02922d-db9b-40f3-82d7-5efdff8f6a0a"
    ],
    "zh/chapter-17/05-the-poincar-e-lemma.md": [
      "urn:uuid:461a79e2-9a12-4460-a940-0b2732f8b00b",
      "urn:uuid:b5f9a010-d584-41c0-b677-d34ea1318faf",
      "urn:uuid:c5c6f787-2192-4331-ba80-8bede20d45b7",
      "urn:uuid:ec27abc0-a495-455c-887a-04ad0f3a5e76"
    ],
    "zh/chapter-18/01-linear-connections-and-geodesics.md": [
      "urn:uuid:008abe3e-4b89-4b4f-9096-b685aa35da43",
      "urn:uuid:0b12bccf-e600-4e8b-8f23-c741396d237f",
      "urn:uuid:211557f7-a3f5-49e5-945e-06820fdf4de7",
      "urn:uuid:49a9d4dc-b1df-4c2f-aa1c-041435108e07",
      "urn:uuid:50a5c655-e7e1-418e-9486-178a70f24069",
      "urn:uuid:6574dc8c-d1b3-4dcc-96ce-8aa80fbe82b5",
      "urn:uuid:97514113-7cb5-48b4-9541-733ea93565c0",
      "urn:uuid:b94af6bd-ce81-4af1-b0c0-3c1c8b55401d",
      "urn:uuid:e57b6201-cfbb-4d85-b4df-5d0ab5b64e07"
    ],
    "zh/chapter-18/03-curvature-and-torsion.md": [
      "urn:uuid:45ffeccd-00c3-4397-a705-466728615531",
      "urn:uuid:4cbbafec-2379-4b3d-b21a-4cc767822af7",
      "urn:uuid:83b3b28d-e254-4344-acab-c55b1176cdcd",
      "urn:uuid:99710f21-885f-448b-a6e8-4048c38b658c",
      "urn:uuid:a2bccb82-6af3-444e-8e0b-264f69e220a2",
      "urn:uuid:cb71a150-9540-4253-a1de-4fcb50907875"
    ],
    "zh/chapter-18/04-pseudo-riemannian-manifolds.md": [
      "urn:uuid:34f22db1-cc59-44be-9cd8-005c9cadb6ad",
      "urn:uuid:4447f41d-cf47-4eba-83d4-fbd2afd7d87c",
      "urn:uuid:6fd2c3b2-de81-4166-9379-10cec9081f7d",
      "urn:uuid:89f7a365-87fe-475c-a00b-27b4892ce4c3",
      "urn:uuid:9d440069-537c-483e-8258-cc51a6c2ac9c",
      "urn:uuid:ac724144-5a08-407a-a27a-796eb367a161",
      "urn:uuid:b902db54-268c-45d6-b3fa-ea53f35cb630",
      "urn:uuid:de67a981-9d8b-4a60-9553-3d19f3a820b8",
      "urn:uuid:e262a216-77fe-4a42-9099-b3672c04584d",
      "urn:uuid:e5035e1d-d87c-4361-9fe6-66bcfba9ba55",
      "urn:uuid:ea0e6a8d-6c86-4e6d-b5f8-2a2357a9c182",
      "urn:uuid:f61ac22e-d472-4b48-a199-14591405deeb"
    ],
    "zh/chapter-18/05-equation-of-geodesic-deviation.md": [
      "urn:uuid:93315aa2-8062-4644-a14e-60ba46bc2a42"
    ],
    "zh/chapter-18/06-the-riemann-tensor-and-its-symmetries.md": [
      "urn:uuid:00d268ec-05fa-4942-85d1-a3faa750cee7",
      "urn:uuid:51590a3c-c536-46cc-82a2-1a213099de88",
      "urn:uuid:7b805cd9-a0c6-4280-9837-760dfece5b6a",
      "urn:uuid:d248e3d5-17b4-4ea4-bd69-c4feffdde743",
      "urn:uuid:e3d7ac93-909f-4ff5-9cb6-539fd4533e36"
    ],
    "zh/chapter-18/07-cartan-formalism.md": [
      "urn:uuid:47cb9b8a-f841-4b73-85bc-a777473aa609",
      "urn:uuid:4fdcca86-5235-4133-887e-17b54bf1da24",
      "urn:uuid:9d30b85b-344c-429f-b827-475935331862",
      "urn:uuid:a873bf82-2f8f-4df9-bdfb-2637dc96b182",
      "urn:uuid:c7c5b229-3b71-47b1-94df-4c6f7c6b7828"
    ],
    "zh/chapter-18/08-general-relativity.md": [
      "urn:uuid:26547c8d-dc57-44e4-8871-b9d37cc63e4f",
      "urn:uuid:4838c3a1-746c-4112-b3de-526aab1035f0",
      "urn:uuid:4b93cc33-a176-4805-bd45-238798451e0c",
      "urn:uuid:5118e748-bc6f-482a-ad9a-7a158a9252a9",
      "urn:uuid:74e9903d-8775-4f72-a82f-ae88bbbb06ed",
      "urn:uuid:98f26388-ced3-42da-808f-8c4fcb33803d",
      "urn:uuid:9c94cffc-a155-4a23-9c2f-298515ef4d50",
      "urn:uuid:b8325660-7a21-4972-969c-e88b5bf54aac",
      "urn:uuid:be792ca7-e48a-456a-b71a-d2e7ce013ee1",
      "urn:uuid:da39fb35-44ff-46b2-8690-4deb1759352d"
    ],
    "zh/chapter-18/09-cosmology.md": [
      "urn:uuid:08c2620a-3da7-4383-ba7c-e217b3d97685",
      "urn:uuid:3fe76a4c-b5f0-4bb9-b384-5f7f83b07128",
      "urn:uuid:50efd903-fe4f-4a4d-9c73-4e7cd5e825eb",
      "urn:uuid:96689ef3-6ecf-45d5-9f2d-db37a9d82122",
      "urn:uuid:b2cbc773-02cd-4a8c-982f-cec76e5ec795",
      "urn:uuid:f43defde-548e-4e2b-8aa8-076312a3487d"
    ],
    "zh/chapter-18/10-variation-principles-in-space-time.md": [
      "urn:uuid:5cac9313-3d4f-4510-8bac-b257c148accb",
      "urn:uuid:6a6a990b-27e1-42a4-8591-59e8db4625bd",
      "urn:uuid:ec41f559-b8c4-48a6-9df1-6274d5965185"
    ],
    "zh/chapter-19/01-lie-groups.md": [
      "urn:uuid:02b57e3f-b649-49e8-b81d-4fff8a450e33",
      "urn:uuid:0d343b9b-e689-498e-ae9b-3760b06ca3c1",
      "urn:uuid:22099e8e-a506-43d9-bc9d-a814a0190816",
      "urn:uuid:2b863af3-ea59-4b11-82de-1ef87468e6d4",
      "urn:uuid:8c364498-0e05-4c91-8fd7-1730d6e8656e",
      "urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7",
      "urn:uuid:bb3b541c-b4ed-45bc-a26e-9365d65888f6",
      "urn:uuid:ec95f882-e96f-4231-99b7-8e9903ed60a8"
    ],
    "zh/chapter-19/02-the-exponential-map.md": [
      "urn:uuid:517f0a9d-f274-4f99-8731-9dc921f8c7ac",
      "urn:uuid:537f5597-841d-4de6-85fe-976eb10c7db7",
      "urn:uuid:5a2f0d15-d50a-45f3-a76f-87e2968a6aed",
      "urn:uuid:7c7d436a-933b-40b7-9fbb-45f0ff035eec"
    ],
    "zh/chapter-19/03-lie-subgroups.md": [
      "urn:uuid:03eb86c3-86f8-40cb-8e28-d7d053422767",
      "urn:uuid:27f431a1-3297-467d-9e80-14e2140b1c8e",
      "urn:uuid:f0104c54-899b-429c-808b-f923ff1a7f81",
      "urn:uuid:f64cefe3-d339-4f0e-ae61-35c7b848b740"
    ],
    "zh/chapter-19/04-lie-groups-of-transformations.md": [
      "urn:uuid:01dc6c65-7574-49f1-9a55-20c52d99f5f7",
      "urn:uuid:21e2f216-3071-48e6-a0ca-2e9c60ed4ab4",
      "urn:uuid:23af9bd6-7543-4dde-91ca-b4fc9dd181d4",
      "urn:uuid:249e0182-e4dd-485a-9d74-9906d1ab1de7",
      "urn:uuid:357477c3-6241-452b-834b-833bbcf1ea71",
      "urn:uuid:d15da6db-7ba5-435d-9eec-3740a703c137",
      "urn:uuid:d6add957-677f-4bff-be23-2cb48b7bbaaa",
      "urn:uuid:e9d708ff-0053-47d3-bf1d-21c5b4712799"
    ],
    "zh/chapter-19/05-groups-of-isometries.md": [
      "urn:uuid:2166279d-867c-45ec-836c-c0d714e0668e",
      "urn:uuid:be45079f-5d67-4742-8671-a499a61b9ade",
      "urn:uuid:ce4e2dec-50cc-4729-bb8e-6003fcf99e35",
      "urn:uuid:d74af6bb-82d3-4bbc-a595-a5fc7bbc03ad",
      "urn:uuid:da89c755-49c5-48dc-80ea-428c47c11355",
      "urn:uuid:f2fd5f2e-a289-4b81-842e-25df99d026cf"
    ]
  },
  "source_revisions": {
    "books/woit-qtgr/2025-10-20/en/appendix-a/01-bilinear-forms.md": "1c5a47e4747205bab5a396aa362c7dde8057e2f45b819773ff5522e70ef352df",
    "books/woit-qtgr/2025-10-20/en/appendix-a/02-fourier-transforms.md": "a12c6f7ce3f41d8d1def91af44804d853dde6a7aa20e602017d6e0e12f85d5a6",
    "books/woit-qtgr/2025-10-20/en/appendix-a/03-symplectic-geometry-and-quantization.md": "cbfabf3ecf5b59e38b27c4c64097d715e81712d83bf1be744ce41ec57ad753f9",
    "books/woit-qtgr/2025-10-20/en/appendix-a/04-complex-structures-and-bargmann-fock-quantization.md": "bf7b67dcf66fdffa70f6d8fa9a420c842f9ba39f56484717e9010bfd04fcc616",
    "books/woit-qtgr/2025-10-20/en/appendix-a/05-special-relativity.md": "7066a9ac8180664386522e4cff60124c40a829a1c8db5b4ae1482b3f7fe4ef35",
    "books/woit-qtgr/2025-10-20/en/appendix-a/06-clifford-algebras-and-spinors.md": "344a176850de4a4bcabbc715c4982e612c0b39573afea664457ffa59e1a89857",
    "books/woit-qtgr/2025-10-20/en/appendix-a/index.md": "1232ba2fb4e03a3283cf22269cf525fcde218463dc6d59a9fd3c5aa2dabc369d",
    "books/woit-qtgr/2025-10-20/en/appendix-b/01-chapters-1-and-2.md": "3f14da943ab189d6ab08697f034e89d1f2a225191c9de560fa78a9b25a2f786d",
    "books/woit-qtgr/2025-10-20/en/appendix-b/02-chapters-3-and-4.md": "aedbdb1e80de6ac6a28778377f43a494f033fba1751a869ac43fec6d7a402b29",
    "books/woit-qtgr/2025-10-20/en/appendix-b/03-chapters-5-to-7.md": "c492918090831ccd01ea95b4b6fe5ca9c595c4c8991a4c890d835972f2d072c4",
    "books/woit-qtgr/2025-10-20/en/appendix-b/04-chapter-8.md": "42a41ffaa77757a1fa2b24ba7ad22cf0dd61272344c8b7ac0930cc68bf264d50",
    "books/woit-qtgr/2025-10-20/en/appendix-b/05-chapter-9.md": "8372761c740583c2c10c16053f3101b20ff6454f33c03c592ab08de22a133a46",
    "books/woit-qtgr/2025-10-20/en/appendix-b/06-chapters-10-to-12.md": "34cba7a7bdd1f24f536a467f79359facbb17b948110d4d52cdf71518a592e74a",
    "books/woit-qtgr/2025-10-20/en/appendix-b/07-chapters-14-to-16.md": "7fd593192426d0dd6e5f79bbeba1fa48cce147deb98a7b92dd6c11b0ed3693a1",
    "books/woit-qtgr/2025-10-20/en/appendix-b/08-chapter-17.md": "014bd44dd1203917a7187031f060b35c210d254e70404dbfc6687a351840be2e",
    "books/woit-qtgr/2025-10-20/en/appendix-b/09-chapters-18-and-19.md": "737c9c258b30d00dee901a4adbcf81c4ffe93c95ff6637debc0a253c45accc45",
    "books/woit-qtgr/2025-10-20/en/appendix-b/10-chapters-21-and-22.md": "8a29a16a410fa54b7f5ca644f1601c7fb59a61cbd56605f3b95afff169a0e5ee",
    "books/woit-qtgr/2025-10-20/en/appendix-b/11-chapter-23.md": "85c449cf4f7ad99470fe0018eb7569b7d92f4142b196240d0308ed1445c82abb",
    "books/woit-qtgr/2025-10-20/en/appendix-b/12-chapters-24-to-26.md": "fbaaff59404f34795d2c111ed173de9d1ac188eb37638954be540cb4f0f63cb2",
    "books/woit-qtgr/2025-10-20/en/appendix-b/13-chapters-27-and-28.md": "b69bd33dcf0fe15706d7cb131704c7432b7ed457f66116470b2c7b9f98900472",
    "books/woit-qtgr/2025-10-20/en/appendix-b/14-chapters-29-to-31.md": "aef265885bf04854ed53eab003aa05a245915a43f18e4165492e8b3be2e13577",
    "books/woit-qtgr/2025-10-20/en/appendix-b/15-chapters-33-and-34.md": "7479ac8c3b2b840be9a825b64c88bcfb4920d743d8f0c18fec53e97ebb7b11cc",
    "books/woit-qtgr/2025-10-20/en/appendix-b/16-chapter-36.md": "11e4fd6ed26f135fa8b7dd2e2b2cdc9d362b62b8a9145eb1c909d5cab039977f",
    "books/woit-qtgr/2025-10-20/en/appendix-b/17-chapters-37-and-38.md": "d9420f7085bb2df22b8e63dcd3dcc5d37284babf1cf200007570bd0ceb18a2b2",
    "books/woit-qtgr/2025-10-20/en/appendix-b/18-chapters-40-to-42.md": "32fd1a03f4dd4e6e9565c3c532ed4914ce33b15000c03f8c2fa229b0577e503f",
    "books/woit-qtgr/2025-10-20/en/appendix-b/19-chapters-43-and-44.md": "978ea1cfef60e739a2c991886f6a5f0dc55e93048d757881f266e4a01f60e230",
    "books/woit-qtgr/2025-10-20/en/appendix-b/20-chapters-45-and-46.md": "83fcb3091eed6411275f8b841ee22be8d022d168463bf4841e28a547396895df",
    "books/woit-qtgr/2025-10-20/en/appendix-b/21-chapter-47.md": "476cc69337566962aa5402e13f29a9289ecbc7d3aa496cf1586c2511e7c6e019",
    "books/woit-qtgr/2025-10-20/en/appendix-b/index.md": "15e368b6e3f455298aec205fc80f54918111688e78a42cfe9ae057c078a75087",
    "books/woit-qtgr/2025-10-20/en/chapter-01/01-introduction.md": "aba34301efa6c1bd1d8c7a8f37e42d01efc93f87a12b4554f788a169ce2b7fa8",
    "books/woit-qtgr/2025-10-20/en/chapter-01/02-basic-principles-of-quantum-mechanics.md": "134f1c5d766bf0bf8fbeec2559118921532694a2641d7d5facbd5abff8cbbc99",
    "books/woit-qtgr/2025-10-20/en/chapter-01/03-unitary-group-representations.md": "506df09dbe35a6204e5ffc4f72fff297ea3b962779b5791e5317ce0bbed736cb",
    "books/woit-qtgr/2025-10-20/en/chapter-01/04-representations-and-quantum-mechanics.md": "dda88312d4b3b82575527c09653b3c1ef9836bc6fbb287f6909d0a6223a09af1",
    "books/woit-qtgr/2025-10-20/en/chapter-01/05-groups-and-symmetries.md": "3a23ff4da7becfee8e801cb0d384871b42e81ca386103b25beddc1c3e795ba35",
    "books/woit-qtgr/2025-10-20/en/chapter-01/06-for-further-reading.md": "fd9fd6e2f919ec1b4d60459e704c171eb6af049ba071462807ce0f30f9acfd50",
    "books/woit-qtgr/2025-10-20/en/chapter-01/index.md": "bb5b131ae0a694f5e56a3c1b7795374801c80bd8ea66c315415b68f61afa3087",
    "books/woit-qtgr/2025-10-20/en/chapter-02/01-some-representation-theory.md": "fd6acd71ca250c6760bd4f303aeeb212d709a4c9cb7af7a9476be4a1a7ea289c",
    "books/woit-qtgr/2025-10-20/en/chapter-02/02-the-group-u-1-and-its-representations.md": "4dd6ddb5bc8a28039593abbbc3574e179507c9099a31a624b7eca90a47676ed0",
    "books/woit-qtgr/2025-10-20/en/chapter-02/03-the-charge-operator.md": "f1df7195dcbf26d7618aec589de1cdf7c5d57ce73f39e41e1413a29b7eee5f93",
    "books/woit-qtgr/2025-10-20/en/chapter-02/04-conservation-of-charge-and-u-1-symmetry.md": "07d3556234d009315e060479f84778c5a938459e1835d627ecea25bcb0ae24d2",
    "books/woit-qtgr/2025-10-20/en/chapter-02/05-summary.md": "3cb3b3af3ad13736644996a8531d4732f23b1c9638fbfda2b5e2356c7d3e0013",
    "books/woit-qtgr/2025-10-20/en/chapter-02/06-for-further-reading.md": "440cdcbe46417c892bf05f93e17c84ae5657bac5a4ad8024bf6192d8525381cb",
    "books/woit-qtgr/2025-10-20/en/chapter-02/index.md": "ff06a3c4964dcf19852de0b6e10e20bd123800767ee080651d3481a7201263fa",
    "books/woit-qtgr/2025-10-20/en/chapter-03/01-the-two-state-quantum-system.md": "5ae9f67417cf65024e36c181aff6630d72abe8964939adeb771ee0f32fef8f09",
    "books/woit-qtgr/2025-10-20/en/chapter-03/02-commutation-relations-for-pauli-matrices.md": "d94860156429173a676b4ffcdc432f70d9a5648fad559409281d5b9cb75de2ec",
    "books/woit-qtgr/2025-10-20/en/chapter-03/03-dynamics-of-a-two-state-system.md": "fa8dc6f1abe776e62ef8b602a476972f2cd33199732383a20aabeb58fb3bed8c",
    "books/woit-qtgr/2025-10-20/en/chapter-03/04-for-further-reading.md": "ae98b9d143c97a7eb641f36027467f7d8c9bb83c12abe854725d1d486257c1a4",
    "books/woit-qtgr/2025-10-20/en/chapter-03/index.md": "b0b19bfbddebea2224d7591a8a1622603f20046446c9b2e73672562650f3f31d",
    "books/woit-qtgr/2025-10-20/en/chapter-04/01-vector-spaces-and-linear-maps.md": "7b67eea3f4266b108e1e788c2e21bac9a046d13f101f5330ec8134a1a88d496c",
    "books/woit-qtgr/2025-10-20/en/chapter-04/02-dual-vector-spaces.md": "b22c3ff4ebb657bf1e6ea12bb32e608b2c606878c532aeaa3bee39833ba66c12",
    "books/woit-qtgr/2025-10-20/en/chapter-04/03-change-of-basis.md": "de438e88806ff3b0240b039f1910bf3e48f5baeb549c68976a956173877f51b9",
    "books/woit-qtgr/2025-10-20/en/chapter-04/04-inner-products.md": "3977807e255d2714286f744389ed0a4b92c7ca420946f9f415e6e63c1b284cdf",
    "books/woit-qtgr/2025-10-20/en/chapter-04/05-adjoint-operators.md": "cd9f99f91376f3deea8f9551c71a0c0de1b0b8de1d032daaa7bb5f1c3a28b7bf",
    "books/woit-qtgr/2025-10-20/en/chapter-04/06-orthogonal-and-unitary-transformations.md": "ba7a6271b57f807dd937ab3b9bd5534430d5d543167342d850e8fef2c74974ea",
    "books/woit-qtgr/2025-10-20/en/chapter-04/07-eigenvalues-and-eigenvectors.md": "a2d70051407e31cf6687c7b37dd99a8bf0f399048a5e543a5d7c23f1f056fe8e",
    "books/woit-qtgr/2025-10-20/en/chapter-04/08-for-further-reading.md": "738685168d15ec00ac04c59b7ed2ae3c412caf475fa6024ac1fec0bb20024dce",
    "books/woit-qtgr/2025-10-20/en/chapter-04/index.md": "b8b158eade698142f99564bc533ffbcf0f9b42c7672fe6b1d65613fa5f70f847",
    "books/woit-qtgr/2025-10-20/en/chapter-05/01-lie-algebras.md": "3c203b3156daed77acbf2fd8e44da946e3bcc39506f0cd5d16bb0d04166999c9",
    "books/woit-qtgr/2025-10-20/en/chapter-05/02-lie-algebras-of-the-orthogonal-and-unitary-groups.md": "d27a68e5ce7f74c89a30270d7d93a2543afc658563f090d2f75e8b0d23e73f84",
    "books/woit-qtgr/2025-10-20/en/chapter-05/03-a-summary.md": "11a0aef78998dfdb9ce2511fdc0dc393ae928ea4d23ef43bb2024cd45234e445",
    "books/woit-qtgr/2025-10-20/en/chapter-05/04-lie-algebra-representations.md": "61c42cc7f275c26a6874d48870eeec0207a69553f4f81e2310258160b4921899",
    "books/woit-qtgr/2025-10-20/en/chapter-05/05-complexification.md": "b0f6a2128710b4e5d22eca9eb7e4ca4caca9f83bb7976b8f27ba648715450f0a",
    "books/woit-qtgr/2025-10-20/en/chapter-05/06-for-further-reading.md": "5e6dd37a88ce1d6333a5f9164d4984515788499df7a6a41d8c966c295e13cbf2",
    "books/woit-qtgr/2025-10-20/en/chapter-05/index.md": "6b9dc3d0541b6530448d1161354bc615a336ef0a0c44a2c3e65eb37df82c38fe",
    "books/woit-qtgr/2025-10-20/en/chapter-06/01-the-rotation-group-in-three-dimensions.md": "26ab6dbd8d2fd3c616b729e1722972628cde2749e0fc848504d63c6e68828748",
    "books/woit-qtgr/2025-10-20/en/chapter-06/02-spin-groups-in-three-and-four-dimensions.md": "525b7bc4b6973b05449bbbbcbdef1c067e7411218e20b20cb388b95687d1c4d8",
    "books/woit-qtgr/2025-10-20/en/chapter-06/07-a-summary.md": "c6959dd1685931e5d5c3b3ad92a453f6e8e23f74fb6df74bd7839b5bfd7d43ac",
    "books/woit-qtgr/2025-10-20/en/chapter-06/08-for-further-reading.md": "b71877e9c316028215c7fa8787a04611e3c0ec6607177eff8f5f703ea66faee9",
    "books/woit-qtgr/2025-10-20/en/chapter-06/index.md": "ba75cbb7a5cee55a17b48b45bb73014121fc1c8da598231a0680d27bd921b813",
    "books/woit-qtgr/2025-10-20/en/chapter-07/01-the-spinor-representation.md": "15383506dc3beaec4ce03121843583ac8e897a21ef7acf46a88bffa7c86291e9",
    "books/woit-qtgr/2025-10-20/en/chapter-07/02-the-spin-half-particle-in-a-magnetic-field.md": "2f4e030ded93d226da1b050014630cb67a384fcab12bb0f30e051144b3d12eec",
    "books/woit-qtgr/2025-10-20/en/chapter-07/03-the-heisenberg-picture.md": "2134547383964d76a976c6c9c25db57afd0f18f358f6c08e86ad956e1e5932bf",
    "books/woit-qtgr/2025-10-20/en/chapter-07/04-complex-projective-space.md": "56ee7f1727deaa19e151a716a8ad06b4eb7d62437a0e4e97e582b9d242bc09a3",
    "books/woit-qtgr/2025-10-20/en/chapter-07/05-the-bloch-sphere.md": "6f8c687b0a6feb674feacdbe88d4253a08f9fdcc131e7a7b299a069f0c255fc6",
    "books/woit-qtgr/2025-10-20/en/chapter-07/06-for-further-reading.md": "ebf374e653116c9872d35db156d3b0424b0f1c501bab77ad44d8c3ffe238a4ab",
    "books/woit-qtgr/2025-10-20/en/chapter-07/index.md": "0946dacc70ee6d4297f9aeece5696da12a6e98683383e73720e574fa0b6b0761",
    "books/woit-qtgr/2025-10-20/en/chapter-08/01-representations-of-su2-classification.md": "e5c8424b53348272fddf1a7389af49b88ea794e91287c36e9a900bf90c9221ac",
    "books/woit-qtgr/2025-10-20/en/chapter-08/04-representations-of-su2-construction.md": "65b3b2a16d6c172aea2a46eb5267a81bcc66b071bc6e2322869274f752730517",
    "books/woit-qtgr/2025-10-20/en/chapter-08/05-representations-of-so3-and-spherical-harmonics.md": "64bfd83a095441ec0f7d67bb839b6a2224f30fa655a955dcd30ac2dae488931a",
    "books/woit-qtgr/2025-10-20/en/chapter-08/06-the-casimir-operator.md": "de2893e0945d7e39c76fcfca5e9381072dd5323f2872507f0ff6758add1a9584",
    "books/woit-qtgr/2025-10-20/en/chapter-08/07-for-further-reading.md": "3b668fb99b6ef7c4269610d89b733b52bd5828d6610a64a185aafcb1c28ef457",
    "books/woit-qtgr/2025-10-20/en/chapter-08/index.md": "5e5211be7b17d21a58edf652d1a94c056689a4dbec61067d764a8d77ee24de3d",
    "books/woit-qtgr/2025-10-20/en/chapter-09/01-tensor-products.md": "84f4f4a0f2e4be69e6810d5ca953b7cc92aa2b6f1cc2b77df375bf41a35e50aa",
    "books/woit-qtgr/2025-10-20/en/chapter-09/02-composite-quantum-systems-and-tensor-products.md": "1536789f86bac773a539244dc9da47091d27c78d1befa82e0dbf8d06e04dcca1",
    "books/woit-qtgr/2025-10-20/en/chapter-09/03-indecomposable-vectors-and-entanglement.md": "de36d71af331aa9221fee1ee656e15fc383e9ee29378ec4d05dc481c6fce844a",
    "books/woit-qtgr/2025-10-20/en/chapter-09/04-tensor-products-of-representations.md": "4aa1a1d7f3fcb427daecdc46e53ab72991dfbeec261c3e7e58a5d923efb74b3f",
    "books/woit-qtgr/2025-10-20/en/chapter-09/08-bilinear-forms-and-tensor-products.md": "6b2a4c6eade5849ed53f16d0244db3d1ad8599adf1097551554973a67b74fc13",
    "books/woit-qtgr/2025-10-20/en/chapter-09/09-symmetric-and-antisymmetric-multilinear-forms.md": "345927ab1c3e4192f8eb56028d030099b026160ef605df6c965d9665194bc8aa",
    "books/woit-qtgr/2025-10-20/en/chapter-09/10-for-further-reading.md": "7868c4bf53f805ed8e2a1dd1838809856a098a7f9e2d74aa2591b7ffe7e0d786",
    "books/woit-qtgr/2025-10-20/en/chapter-09/index.md": "2ec032cc33ecb0ebbea73958f63f0f8d9aacb7fc0e6c6b0053953d56ed757aa9",
    "books/woit-qtgr/2025-10-20/en/chapter-10/01-the-group-r-and-its-representations.md": "7d2008beb907e608af77486e40cb13c3f29e1e90ee83689307a08b9c724404c1",
    "books/woit-qtgr/2025-10-20/en/chapter-10/02-translations-in-time-and-space.md": "919cf715828ba1820c6121ed1f6a6b825cec4c35ec85fd6acb142f5b02fae3ec",
    "books/woit-qtgr/2025-10-20/en/chapter-10/05-the-energy-momentum-relation-and-the-schr-odinger-equation-for-a-free-particle.md": "8ba5bfa29f5acbaad8d6c3d8eeeff8c973951f89cddd37c099a37386dd9887f6",
    "books/woit-qtgr/2025-10-20/en/chapter-10/06-for-further-reading.md": "a04f830481afac8fa603003543c81e9fd2314a8ae7deafafdb24ac4b79e6547c",
    "books/woit-qtgr/2025-10-20/en/chapter-10/index.md": "d0c8056b0c09e92000d2a6daf0bcf1fb4f87879d249c23d0772c820d82d11e9f",
    "books/woit-qtgr/2025-10-20/en/chapter-11/01-periodic-boundary-conditions-and-the-group-u-1.md": "ab489892c630c6222deaa72354b713642fd5130ed9fffa8ee4d328490d9f2c4e",
    "books/woit-qtgr/2025-10-20/en/chapter-11/02-the-group-r-and-the-fourier-transform.md": "24b421910ee3d7532b1748c643b31ddf0f77d9ef4f396c4a63fdde48020bf3ef",
    "books/woit-qtgr/2025-10-20/en/chapter-11/03-distributions.md": "7c1f80e402717fe2799ae7ff752e2fa7b308b3a1be6813789cf7b511ad7667a6",
    "books/woit-qtgr/2025-10-20/en/chapter-11/04-linear-transformations-and-distributions.md": "35eb7431993a061470d1c659c52a328ad948d582a678f10711a6590ce918cf6a",
    "books/woit-qtgr/2025-10-20/en/chapter-11/05-solutions-of-the-schr-odinger-equation-in-momentum-space.md": "7cd24f2d7c5927a7f7a2d159886f537f5a0b43ba7672aac035a214eb07fd4e89",
    "books/woit-qtgr/2025-10-20/en/chapter-11/06-for-further-reading.md": "62937444f5c383ce13a9e1b67af32acd7224fb7ab1c5cd57fa604d7765f7152f",
    "books/woit-qtgr/2025-10-20/en/chapter-11/index.md": "ee6944abcf1b6aa562107ddb1abe278204f5243a2ef03c85a2ca2cfe4c8db3a1",
    "books/woit-qtgr/2025-10-20/en/chapter-12/01-the-position-operator.md": "76f7ce6ed61bd6416b33d9afb8479931912bc087a57dfe247202d7b30d234453",
    "books/woit-qtgr/2025-10-20/en/chapter-12/02-momentum-space-representation.md": "4185caff876ee99e58365d08d7764b762a75ba6dfb5ebb055cb4c893ad92f569",
    "books/woit-qtgr/2025-10-20/en/chapter-12/03-dirac-notation.md": "be4a48efe1dc250291f7dd79b8af5106507ab7b6c83228f3ab4e92c2bb94c351",
    "books/woit-qtgr/2025-10-20/en/chapter-12/04-heisenberg-uncertainty.md": "04885824f76a5aaf2482e1a637807491ed31d397b586afdf58f26baec675abd6",
    "books/woit-qtgr/2025-10-20/en/chapter-12/05-the-propagator-in-position-space.md": "015ca30e29ed89cbf8af9cfbbbc880fa1d6192ddfd3a2ce560d4abb234b404e6",
    "books/woit-qtgr/2025-10-20/en/chapter-12/06-propagators-in-frequency-momentum-space.md": "6512747a0fcb10c9b14a183486f92bd463d96486aa3556c9d46e46674a5d093f",
    "books/woit-qtgr/2025-10-20/en/chapter-12/07-green-s-functions-and-solutions-to-the-schr-odinger-equations.md": "cbe69a679d133fdbcde241d6d8065f9b479191aa6da2adfbaffeb19cef17e0fb",
    "books/woit-qtgr/2025-10-20/en/chapter-12/08-for-further-reading.md": "14a202d5d425a39506a2a4c13575e900b4994da0862944e1942c2f7c467fff69",
    "books/woit-qtgr/2025-10-20/en/chapter-12/index.md": "fa0d55828ff39996fc9e6a76555a671aabb270d2c30e459ff5d4cd9d444c04bd",
    "books/woit-qtgr/2025-10-20/en/chapter-13/01-the-heisenberg-lie-algebra.md": "3fc5871ad7996635e4c661fc4ea97c050a66c387b1371ede5a032fdd2a298791",
    "books/woit-qtgr/2025-10-20/en/chapter-13/02-the-heisenberg-group.md": "0d802021966bb78411b103b8adc1c33eb6c16848ee8a98c423ba5dab89baf273",
    "books/woit-qtgr/2025-10-20/en/chapter-13/03-the-schr-odinger-representation.md": "18723bad457cc86cc07c80817ff6bf3e04f683e15708befa0f80dceb9101595e",
    "books/woit-qtgr/2025-10-20/en/chapter-13/04-for-further-reading.md": "a8409a17eb3685b436d5b3979f33665d9169dc3576107d8e2fa2624905763af1",
    "books/woit-qtgr/2025-10-20/en/chapter-13/index.md": "4b26a7bf904a77954aa58aa866ee246a65db54eba927cc232230fd7c950718c5",
    "books/woit-qtgr/2025-10-20/en/chapter-14/01-classical-mechanics-and-the-poisson-bracket.md": "0341e3ea52bc5e97bc16b723057c9a27a459584c338065251c5f88b278479fbe",
    "books/woit-qtgr/2025-10-20/en/chapter-14/02-the-poisson-bracket-and-the-heisenberg-lie-algebra.md": "71688004d232dde472d2d3b671ddca3580f17e5c61a48d837b4113e3a1a33bb0",
    "books/woit-qtgr/2025-10-20/en/chapter-14/03-symplectic-geometry.md": "806791b67ea3ad15ec69fdd6c3e219cda63631a7842713fdb19ce14eb503ab95",
    "books/woit-qtgr/2025-10-20/en/chapter-14/04-for-further-reading.md": "743f836f83023e03359357807a2e7d5056186689a60b6074c3ef803815131c77",
    "books/woit-qtgr/2025-10-20/en/chapter-14/index.md": "93aadf9456ef03475d14ef57cc040c6f05df740ce41d99eebd6b4b8d2d3844db",
    "books/woit-qtgr/2025-10-20/en/chapter-15/01-vector-fields-and-the-exponential-map.md": "b65b18fddad8e04514902cc932a915604c49f0ed68f96b72980d8cb0a453bec5",
    "books/woit-qtgr/2025-10-20/en/chapter-15/02-hamiltonian-vector-fields-and-canonical-transformations.md": "94d4f8c60bb4d1d5fdcbd75675ef49a2eda8acdc416fa20232ad9c7e67e06d03",
    "books/woit-qtgr/2025-10-20/en/chapter-15/03-group-actions-on-m-and-the-moment-map.md": "c595b226b342aecf332dd12f82facbf7978a9a402b70e1f0b9b34dc4488d544d",
    "books/woit-qtgr/2025-10-20/en/chapter-15/04-examples-of-hamiltonian-group-actions.md": "3baea068482d111144534302067bfd909d9446df70b34c6bc64133cf248a8c89",
    "books/woit-qtgr/2025-10-20/en/chapter-15/05-the-dual-of-a-lie-algebra-and-symplectic-geometry.md": "66ed33db5d475a75a5049be84da651a3c88e2fa15873529bf957342a6bc33145",
    "books/woit-qtgr/2025-10-20/en/chapter-15/06-for-further-reading.md": "954c2e3b34120167cce44c5dbf6b71682180a8d66474ea5c74fde15282f6f1a8",
    "books/woit-qtgr/2025-10-20/en/chapter-15/index.md": "683682bcd7070c4f285ecf1a1f626a1dd9fcca8d01f0c2b1f835514de06311bf",
    "books/woit-qtgr/2025-10-20/en/chapter-16/01-the-symplectic-group.md": "ed2414a74ed2fd73363cf684a60f2b8e6245a4dc84ed67db852efd43fec8ffec",
    "books/woit-qtgr/2025-10-20/en/chapter-16/04-the-symplectic-group-and-automorphisms-of-the-heisenberg-group.md": "22dd3f726142f094599bd6c253fbe19d2b731e9cb48671e4e04ca747bd5dec6c",
    "books/woit-qtgr/2025-10-20/en/chapter-16/07-the-case-of-arbitrary-d.md": "7eb0d664eea4b8e9ca841cdd34447dfd79c48b8ee311d58ece9718fa544f0838",
    "books/woit-qtgr/2025-10-20/en/chapter-16/08-for-further-reading.md": "b9e510e19cc1ad65e31b2bef8c6962dd2f8458a86835a527d3a9f053c14d55b2",
    "books/woit-qtgr/2025-10-20/en/chapter-16/index.md": "4f5947a2f5d850136c5c41c463c980bd86bd39b8d5099f3915a46681c08f716b",
    "books/woit-qtgr/2025-10-20/en/chapter-17/01-canonical-quantization.md": "415e56e181addfa6a17656fe82397b33847baafa16fbe36ed10ecf2c1cf2e1b6",
    "books/woit-qtgr/2025-10-20/en/chapter-17/02-the-groenewold-van-hove-no-go-theorem.md": "0f2a1b7e1d8b680417ec27a91ec344b72ce3099bb0ccb6d8c9f1fdd4b54425a5",
    "books/woit-qtgr/2025-10-20/en/chapter-17/03-canonical-quantization-in-d-dimensions.md": "41ac16e2589852b191fecefabf994bad605de5b2dd69dfa5eeac8b585fd2b127",
    "books/woit-qtgr/2025-10-20/en/chapter-17/04-quantization-and-symmetries.md": "88786cfe06f92cfb0f05638a3f95f3727bfd18ba75c961df9e75c9d96da655f4",
    "books/woit-qtgr/2025-10-20/en/chapter-17/05-more-general-notions-of-quantization.md": "f59ad2f88112931fe7d465c867c4fb4bd98f54b90053e12667dcfdd434a5f563",
    "books/woit-qtgr/2025-10-20/en/chapter-17/06-for-further-reading.md": "37d831cf4023aed74ba09ae6539859d5a504e3f984d7685482c2c23462216dcc",
    "books/woit-qtgr/2025-10-20/en/chapter-17/index.md": "5b35eab2ac97e10fbe49e79727792e160fe6163b48d859aed144b7d73fb55066",
    "books/woit-qtgr/2025-10-20/en/chapter-18/01-an-example-the-euclidean-group.md": "ca91c2080b2247ff60450f179673afb5bbfa6c4cc5041ddd049a0df1964dc38a",
    "books/woit-qtgr/2025-10-20/en/chapter-18/02-semi-direct-product-groups.md": "5247f341e0e4126f08bd67955701742a37c35ef496d1b09269dfc24b871beef3",
    "books/woit-qtgr/2025-10-20/en/chapter-18/03-semi-direct-product-lie-algebras.md": "f357b3331ada91e2e0bb6bd21f953cbe7bf9d3d42e82ee72fea63aff7217b1c4",
    "books/woit-qtgr/2025-10-20/en/chapter-18/04-for-further-reading.md": "7f74536da2ff46ddc627ac5d0dc26806ff165d5e4322756f14da681bc62487cb",
    "books/woit-qtgr/2025-10-20/en/chapter-18/index.md": "9979f321e60e2c0bd4a85ac232ebd9faeea37eecd392a4299593093b2f389e4c",
    "books/woit-qtgr/2025-10-20/en/chapter-19/01-the-quantum-free-particle-and-representations-of-e-2.md": "1cd847a59c8f75da200cdb5180541fcdade25db7018064a0de01569e976bbfc3",
    "books/woit-qtgr/2025-10-20/en/chapter-19/02-the-case-of-e-3.md": "ba4ccb45857a32966f76885dcee49ecc9e9bae714c4ec7954493d7fa55c11b3c",
    "books/woit-qtgr/2025-10-20/en/chapter-19/03-other-representations-of-e-3.md": "f50d3e04df1055a8cce16e17fca00c2a07977e14492fd0ca89f4a4211dec6899",
    "books/woit-qtgr/2025-10-20/en/chapter-19/04-for-further-reading.md": "cb5ba69213d66817ba7148c1383d2d569a7463e4e879369da7190b0ed398b929",
    "books/woit-qtgr/2025-10-20/en/chapter-19/index.md": "d9cd7b72e097b4c4abc2bc300fd892b2099a96d9b9fce935698101698e6b766d",
    "books/woit-qtgr/2025-10-20/en/chapter-20/01-intertwining-operators-and-the-metaplectic-representation.md": "0b07b791728c47bd90711c549c184e5a2aa1348c58c6957e155409b0b3b4139e",
    "books/woit-qtgr/2025-10-20/en/chapter-20/02-constructing-intertwining-operators.md": "21d885a9cf62811616b3cda3300f2d9a21733962e9c71ea9d06f08ec9b05b5e4",
    "books/woit-qtgr/2025-10-20/en/chapter-20/03-explicit-calculations.md": "83fe6d9f15d0416f5d4b128337ad1e2ab2a69a689a0df510029f231cc664e0a6",
    "books/woit-qtgr/2025-10-20/en/chapter-20/08-representations-of-nk-n-commutative.md": "75a0504c499295b901ffcf5e387c9828172d831d269814c64a9cc5f202bd1917",
    "books/woit-qtgr/2025-10-20/en/chapter-20/09-for-further-reading.md": "1040ae890cdb6311d97ab88700d26e3ea63613016c3cffbc492543820bba4318",
    "books/woit-qtgr/2025-10-20/en/chapter-20/index.md": "69d489d855a2709117fd21485f98b73b8ddb8e7ca62052a249858a6c133a6fbf",
    "books/woit-qtgr/2025-10-20/en/chapter-21/01-quantum-particle-in-a-central-potential.md": "4bb7e3062fb3840a2c480aeda8d4769fd055d0f65b10009ff96412594012ae55",
    "books/woit-qtgr/2025-10-20/en/chapter-21/02-so-4-symmetry-and-the-coulomb-potential.md": "7d9d40741c95bfb8c777fb846b977d24cf938c69220bf5be877480ced55667b7",
    "books/woit-qtgr/2025-10-20/en/chapter-21/03-the-hydrogen-atom.md": "8b10ab8c727146a52d99910ee1fa146f9b4ab935307e9330843b2ac68c78dc2d",
    "books/woit-qtgr/2025-10-20/en/chapter-21/04-for-further-reading.md": "6a77f09cae67ffc5c75b99a8c536072028df2329055df5f69cef9674447e4cf9",
    "books/woit-qtgr/2025-10-20/en/chapter-21/index.md": "9643bf6bccfc884803dec4d762016b21f38b947430a5d16c6b49a0cdc25fe311",
    "books/woit-qtgr/2025-10-20/en/chapter-22/01-the-harmonic-oscillator-with-one-degree-of-freedom.md": "fe5e4b302a2f786784bae91f55fd0bd24b890fd3f2d17c050287f9ae583d3f08",
    "books/woit-qtgr/2025-10-20/en/chapter-22/02-creation-and-annihilation-operators.md": "38dd8b17d850911302b3ae7983632184f6999834f1eab18729184ae85d527b33",
    "books/woit-qtgr/2025-10-20/en/chapter-22/03-the-bargmann-fock-representation.md": "0c0f0c6be497d20d42817864c0ddbc6e601be69aeea39b4e2d25110a6e58b6c8",
    "books/woit-qtgr/2025-10-20/en/chapter-22/04-quantization-by-annihilation-and-creation-operators.md": "3de7060c5703d441cbfa5777fdb8007ee437ff7a892fff99cfd7daf30359361e",
    "books/woit-qtgr/2025-10-20/en/chapter-22/05-for-further-reading.md": "b057c406e1902d53ecaf29e28f974eb1bc9a7c92d3c82f90697c252554caf7e1",
    "books/woit-qtgr/2025-10-20/en/chapter-22/index.md": "91432494fc2a8f7ac75e9f09e0dc2c368f71deca1922510229a70f491358f337",
    "books/woit-qtgr/2025-10-20/en/chapter-23/01-coherent-states-and-the-heisenberg-group-action.md": "7c4f99b1d0975d21b7e596c4e655463bf11aa6184252b8fe6945eb1e02a5400e",
    "books/woit-qtgr/2025-10-20/en/chapter-23/02-coherent-states-and-the-bargmann-fock-state-space.md": "6030ab151c7d8056aec83ff2c10d692946ced0fd624cb2babc9f8e6283c58659",
    "books/woit-qtgr/2025-10-20/en/chapter-23/03-the-heisenberg-group-action-on-operators.md": "358d7981a156a9d8fe34d94b4a9b60b3d47b5ddd24bc10dd36ca4a3eaa24bd6c",
    "books/woit-qtgr/2025-10-20/en/chapter-23/04-the-harmonic-oscillator-propagator.md": "7da2d75bb4451d420218188fd0c9085e5f22a4013e637f0ae6e37e79f9c888d6",
    "books/woit-qtgr/2025-10-20/en/chapter-23/08-the-bargmann-transform.md": "a2c0150fcec38d4d2509e4cfd541d4b5705539d380b1fc4c59c97c3ed57405b2",
    "books/woit-qtgr/2025-10-20/en/chapter-23/09-for-further-reading.md": "04c7d1f7c2eaf4441775756a0729abed3b8747901578fa74d843f60602293c3e",
    "books/woit-qtgr/2025-10-20/en/chapter-23/index.md": "9bf6f6e41f141dc57672bac55a213657127b5bea9d1af28b2ee85b72bc6bdb69",
    "books/woit-qtgr/2025-10-20/en/chapter-24/01-the-metaplectic-representation-for-d-1-in-terms-of-a-and-a.md": "9813ccaf7efe2ec43f72750540a080475eb2be37a74ec7b0af790b20602d8f77",
    "books/woit-qtgr/2025-10-20/en/chapter-24/02-intertwining-operators-in-terms-of-a-and-a.md": "3b23b620eea5eb69ee2eb7a7b6711fd49334a69e8f6e3dd64f918bc12e4d5070",
    "books/woit-qtgr/2025-10-20/en/chapter-24/03-implications-of-the-choice-of-z-z.md": "6e234a7e53bf16003513bdd8d434088795d93ced7c9854594802603146812067",
    "books/woit-qtgr/2025-10-20/en/chapter-24/04-su-1-1-and-bogoliubov-transformations.md": "227a5a8723049c491559a2d4d49f3a5a8955b2a7c716dc7c133046ce093e61c0",
    "books/woit-qtgr/2025-10-20/en/chapter-24/05-for-further-reading.md": "2f0603b0075d7273859ddb4f0342974381d17a767c268f457298622acc54f862",
    "books/woit-qtgr/2025-10-20/en/chapter-24/index.md": "c2be8b70356cded75fba6c3689a801559a15738c0dea5a07e5f43e2da00c04d9",
    "books/woit-qtgr/2025-10-20/en/chapter-25/01-multiple-degrees-of-freedom.md": "0eb53b4b08f8848e32ee1d86d1f6d3c8bce374200fa4da30eaf38e5ca43eba9a",
    "books/woit-qtgr/2025-10-20/en/chapter-25/02-complex-coordinates-on-phase-space-and-u-d-sp-2d-r.md": "c3b19757f3ed46dac4656fff373db4a65281578a7241bc66e4b1ede793c1d295",
    "books/woit-qtgr/2025-10-20/en/chapter-25/03-the-metaplectic-representation-and-u-d-sp-2d-r.md": "f5fbd9863ade84e2de966a52a5b07d5eb08cc3100be17057b12b9b9a92e95855",
    "books/woit-qtgr/2025-10-20/en/chapter-25/04-examples-in-d-2-and-3.md": "87bed67ee3760b5fe20376ae7bbabe76a75ad57dbc24add3fe3fdf7ad4fc41f4",
    "books/woit-qtgr/2025-10-20/en/chapter-25/07-normal-ordering-and-the-anomaly-in-finite-dimensions.md": "88f55744ab76ffbe058039b659ef95112b0828406275ef1e219821f846b9ffd3",
    "books/woit-qtgr/2025-10-20/en/chapter-25/08-for-further-reading.md": "4964ec7b31bb63875eb3720ef1587ed46855db8f8f6046bd8f907c72e7304dcd",
    "books/woit-qtgr/2025-10-20/en/chapter-25/index.md": "a4fabc3ade7e18eac393871eaed9571dfcf75d61baf7220e6eb15075ae13412d",
    "books/woit-qtgr/2025-10-20/en/chapter-26/01-complex-structures-and-phase-space.md": "3bb7a27e4592fbdcf5e39bd60a7e02773abc88ac53672e499d1d531982fae242",
    "books/woit-qtgr/2025-10-20/en/chapter-26/02-compatible-complex-structures-and-positivity.md": "d3af1160a947364bfbbec4b3696ee4aba9177d855700ae056b689eab40bb49e0",
    "books/woit-qtgr/2025-10-20/en/chapter-26/03-complex-structures-and-quantization.md": "726d75da6d4b5e1328c697b9c103924dbf94f7b4383778fa18b85c27ca1389b0",
    "books/woit-qtgr/2025-10-20/en/chapter-26/04-complex-vector-spaces-with-hermitian-inner-product-as-phase-spaces.md": "ca5567975bcd2a6acf0fd32f185de1ec566bbd87287c5c984065ea569b791ee6",
    "books/woit-qtgr/2025-10-20/en/chapter-26/05-complex-structures-for-d-1-and-squeezed-states.md": "d1412a512889593089ec4f98f73909fca76c0e0e1f523d800229f5532fda01af",
    "books/woit-qtgr/2025-10-20/en/chapter-26/06-complex-structures-and-bargmann-fock-quantization-for-arbitrary-d.md": "1dabffb388c16dfb4234ff6292dfa54cae2c028fa1903605632c56764979b3da",
    "books/woit-qtgr/2025-10-20/en/chapter-26/07-for-further-reading.md": "79d7b6370a3809247f2cfbae1310df2bec8a2c8062038e37768dd6c3c57155e8",
    "books/woit-qtgr/2025-10-20/en/chapter-26/index.md": "569618b8aad3527cbd729faee2dc173edcf9da545cdaf341438fe6a4cb1f6f5f",
    "books/woit-qtgr/2025-10-20/en/chapter-27/01-canonical-anticommutation-relations-and-the-fermionic-oscillator.md": "75993a3cb4b037713fcf4ae70db8306d0059dcd2b304b52e1bd6e3b8447ec905",
    "books/woit-qtgr/2025-10-20/en/chapter-27/02-multiple-degrees-of-freedom.md": "f13e48ce4a317699480f183be23b44673ebc522fcea479e14e9e0f0e0ea49234",
    "books/woit-qtgr/2025-10-20/en/chapter-27/03-for-further-reading.md": "89bef5ed12287dea9807ad257d3c501bcf553ec6f1165c37c9959c67031bddba",
    "books/woit-qtgr/2025-10-20/en/chapter-27/index.md": "9218b858ff7cc7edd92c72e3600f1f7dcb1b16aa462c6df23fdca79eb63197c2",
    "books/woit-qtgr/2025-10-20/en/chapter-28/01-the-complex-weyl-and-cliford-algebras.md": "1437e8e29fe07ba5486788969d959b4b958fe09241e74dc8c02204e7032cf358",
    "books/woit-qtgr/2025-10-20/en/chapter-28/05-real-cliford-algebras.md": "4fd8f100b1b83a3329749162828984d15f4d0e1bca33f32b5a0beca78ae5927a",
    "books/woit-qtgr/2025-10-20/en/chapter-28/06-for-further-reading.md": "2c6b25b9542c6ece386002e4d90a1b10d3e7620ebf1b8b6b7153ad95ad18c3e2",
    "books/woit-qtgr/2025-10-20/en/chapter-28/index.md": "023158de20fda105b2e807efd1d10090c0b2644975f6db1ad5613e1857bb10b3",
    "books/woit-qtgr/2025-10-20/en/chapter-29/01-non-degenerate-bilinear-forms.md": "ecbc8e080a97adda994e5bf835b3231ac707ab6d2dbf2b12654e7291a6ddee57",
    "books/woit-qtgr/2025-10-20/en/chapter-29/02-cliford-algebras-and-geometry.md": "f227ff63312143df03766b8ec5fd76e099e4b68faf0df92b2f24255b52929a29",
    "books/woit-qtgr/2025-10-20/en/chapter-29/05-for-further-reading.md": "7eebedba3f5cc08000750aef7751e2147479b22c302eff250751b99da8d2ccf3",
    "books/woit-qtgr/2025-10-20/en/chapter-29/index.md": "c29f327ded2a0edd4fb5687b1ea0d3fa209cae142fe34e94bd1ac67d542b9786",
    "books/woit-qtgr/2025-10-20/en/chapter-30/01-the-grassmann-algebra-of-polynomials-on-anticommuting-generators.md": "3612842b0be3b5447568cf9b1bc9485a653ba0e36139f6689ef6ca7db9e055fc",
    "books/woit-qtgr/2025-10-20/en/chapter-30/02-pseudo-classical-mechanics-and-the-fermionic-poisson-bracket.md": "f741b6c43d1c81c0662bf299d14c14dac1ed68fd550ede08069c773abe9b83a4",
    "books/woit-qtgr/2025-10-20/en/chapter-30/03-examples-of-pseudo-classical-mechanics.md": "98d9f47a9214a9aa5d860ddf71cdb86ab592705af193563c075c036f1dae5410",
    "books/woit-qtgr/2025-10-20/en/chapter-30/06-for-further-reading.md": "a038361ff649137e0127ea043dba3520f2eed6a8ea4224827e0ed362fd56e9d2",
    "books/woit-qtgr/2025-10-20/en/chapter-30/index.md": "6a7d7e634facc8490e04353845e59b44c702e163d9883fcf8300007b7ec26216",
    "books/woit-qtgr/2025-10-20/en/chapter-31/01-quantization-of-pseudo-classical-systems.md": "323639751e7a7355386f87b2eada21802660b14be73d21d4f7d2491940c6fe64",
    "books/woit-qtgr/2025-10-20/en/chapter-31/03-the-schr-odinger-representation-for-fermions-ghosts.md": "1088c127f799309938d8be95c40b0249c8ecb19e031598851479d22edae141d2",
    "books/woit-qtgr/2025-10-20/en/chapter-31/04-spinors-and-the-bargmann-fock-construction.md": "b708adccd888d3e8e8b32c1aeb70eef369f6f3f6465833cd33415f2ee70a28d5",
    "books/woit-qtgr/2025-10-20/en/chapter-31/05-complex-structures-u-d-so-2-d-and-the-spinor-representation.md": "daf0b01d6904e9be0a685a9af91464a200fd942d9951f2dad5f90816b7a4109d",
    "books/woit-qtgr/2025-10-20/en/chapter-31/06-an-example-spinors-for-so-4.md": "2a9f03d9da1658ac72c2a18cdc61527a7555128f068c4bbe7f83104d6dc1d7e9",
    "books/woit-qtgr/2025-10-20/en/chapter-31/07-for-further-reading.md": "8d00e16f9efe4bad78532f2bce1c006fc39f8e59b6f44fcf1b4e4c0a569d8a68",
    "books/woit-qtgr/2025-10-20/en/chapter-31/index.md": "ef16e6b22e80ff2a336d92952904b9afe316d3ea103f552e1b00f3be45a4ade0",
    "books/woit-qtgr/2025-10-20/en/chapter-32/index.md": "849c0b9aa0f3182348e5286d3530f10f3930f3ef55e3740ca9c16e4e2e1d75f5",
    "books/woit-qtgr/2025-10-20/en/chapter-33/01-the-supersymmetric-oscillator.md": "f53236a90bc005abcc60d9f0669e15f5d7869345d34e11830b3939ba417a5e53",
    "books/woit-qtgr/2025-10-20/en/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential.md": "e308a9e84b1cb51249b01021a9111447770917784c1b0c7d73013cf92cb399ad",
    "books/woit-qtgr/2025-10-20/en/chapter-33/03-supersymmetric-quantum-mechanics-and-diferential-forms.md": "d16cea66f70ed8fd0154df7f4315fd2ebcae08d5bc7b9bd3377be04a578ab7af",
    "books/woit-qtgr/2025-10-20/en/chapter-33/04-for-further-reading.md": "b2b48b7d1d12f186ca30ae8f85357be06c32baeb74800c948f5f55dc7f7ab5fd",
    "books/woit-qtgr/2025-10-20/en/chapter-33/index.md": "1140b1ecd982acf91926c8d2838e895fae1017ca04e0de827a1ee36abcd51ed9",
    "books/woit-qtgr/2025-10-20/en/chapter-34/01-the-pauli-schr-odinger-equation-and-free-spin-1-2-particles-in-d-3.md": "5da92a1c1ca302bd670933031c0e216ae0d06e0a4e675a857c5dfd90bd3e4fdb",
    "books/woit-qtgr/2025-10-20/en/chapter-34/02-solutions-of-the-pauli-equation-and-representations-of-e-3.md": "f748916693184ebf12be265d231298eb96051a36360919ae86d0bea560f315fe",
    "books/woit-qtgr/2025-10-20/en/chapter-34/03-the-e-3-invariant-inner-product.md": "acdf7761ec5ba3e50771fa200b407d8d4b8197e7f1abd861ea202ad235f7db95",
    "books/woit-qtgr/2025-10-20/en/chapter-34/04-the-dirac-operator.md": "d34bf9bd788f480c002a4aefc3155d3ae45aa44f682252195a97059cea1682e9",
    "books/woit-qtgr/2025-10-20/en/chapter-34/05-for-further-reading.md": "8653c661d15ad2afe4f86ae4f7b7f2359210536fcfcd7312f938649379d1e48e",
    "books/woit-qtgr/2025-10-20/en/chapter-34/index.md": "d6ffe577ae554ffd5f0da7bef5cdd9f1b5f89e8636c88bccba23d0e675cab5de",
    "books/woit-qtgr/2025-10-20/en/chapter-35/01-lagrangian-mechanics.md": "3189a42e145bef0e89ec7c91298993eba1eee4ae7d40b3024fca2afa0c57535c",
    "books/woit-qtgr/2025-10-20/en/chapter-35/02-noether-s-theorem-and-symmetries-in-the-lagrangian-formalism.md": "1f93edffb70abe90ac34bc6ab4bc9b6d59b15adabbf1adfa392071e829cd7ca1",
    "books/woit-qtgr/2025-10-20/en/chapter-35/03-quantization-and-path-integrals.md": "2336c369bd577a395279cba6824210a156a2fc4bb1ead9bd8094200e4cd0817b",
    "books/woit-qtgr/2025-10-20/en/chapter-35/04-advantages-and-disadvantages-of-the-path-integral.md": "faeb727916051168a911d5e1caff5ee16a428220629be9d5bb74626c459e6581",
    "books/woit-qtgr/2025-10-20/en/chapter-35/05-for-further-reading.md": "a801dba761129b5dea0cbae9f3ed7277fdca7e166c234d7c7586ab01817dfcb0",
    "books/woit-qtgr/2025-10-20/en/chapter-35/index.md": "8f407f4a1500fb333d4ed77c2ee0ed0b0599a5dd5c92971db98bf730a84241e8",
    "books/woit-qtgr/2025-10-20/en/chapter-36/01-multi-particle-quantum-systems-as-quanta-of-a-harmonic-oscillator.md": "6a1cc75a76f74d12efc85d1c58309b49b72e29e85778c617ae11d9fe58b45ddb",
    "books/woit-qtgr/2025-10-20/en/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism.md": "1529c9fbab7ba5d183d948924ceebac424262e89b837ef5895ea7eb46787a765",
    "books/woit-qtgr/2025-10-20/en/chapter-36/05-continuum-formalism.md": "db8df22df9437a45c38da0d013b179890829acc3b663d9435b5e88ee622d0ef8",
    "books/woit-qtgr/2025-10-20/en/chapter-36/06-multi-particle-wavefunctions.md": "d4d2aa50cc568b5bfde2e072bf92aa0f60a524c32eaee07d43458bb34619ffe6",
    "books/woit-qtgr/2025-10-20/en/chapter-36/07-dynamics.md": "4cc4dfed330cdb69b53ee437c00b4f2675211af5e4a71c70042b6530d0d6aa72",
    "books/woit-qtgr/2025-10-20/en/chapter-36/08-for-further-reading.md": "1a8e6d527bda301f00f2f54e1333479dd9ec4c2fd22278617b3036e7b7a995e6",
    "books/woit-qtgr/2025-10-20/en/chapter-36/index.md": "26c69589bf3e1f31cd05da763ad14379cd1e3b62b744daf41e987a6e27512671",
    "books/woit-qtgr/2025-10-20/en/chapter-37/01-quantum-field-operators.md": "5d9634075f6b16eb744858e50dd6f18f506c8a488139e0afd0f0f2689afdfba4",
    "books/woit-qtgr/2025-10-20/en/chapter-37/02-quadratic-operators-and-dynamics.md": "2d653c858f32d06ac0f42d4eb69d99916c13019c492d2493e813237ef52c2098",
    "books/woit-qtgr/2025-10-20/en/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory.md": "975ab244570af0547759acc9a9a1af4eaf3697458a7849ddb7f7234375366cfa",
    "books/woit-qtgr/2025-10-20/en/chapter-37/04-interacting-quantum-fields.md": "4830fd0854e3c0e5fcc25b5e7580ecbf7b95b6c80f3e7a6da0195ad8938c959f",
    "books/woit-qtgr/2025-10-20/en/chapter-37/05-fermion-fields.md": "3cc123d822bc9d8fed17a96babd0c167597cf94e5e0677480bc47f3c5b258ad5",
    "books/woit-qtgr/2025-10-20/en/chapter-37/06-for-further-reading.md": "77044579189fec9fa88974238292a5d1d1a00bae185988ec80af6e8bdca385aa",
    "books/woit-qtgr/2025-10-20/en/chapter-37/index.md": "049db9eb628df90f98b8f0e3c620ff28fc78ee17195bba83bcdfbd5219a23857",
    "books/woit-qtgr/2025-10-20/en/chapter-38/01-unitary-transformations-on-h1.md": "dea705b6c1bafed727adcf9ce2effe2ea482574f6fe11160c42e06cfe02bfd64",
    "books/woit-qtgr/2025-10-20/en/chapter-38/02-internal-symmetries.md": "f940b91998119dc66c4e5cc8d78f568db7cbadb3753e59380c7d19e541d3e371",
    "books/woit-qtgr/2025-10-20/en/chapter-38/05-spatial-symmetries.md": "ef4c4e6fcd9d2bfabeb07519ed46877b9a874f27c442358387b8e703b416b833",
    "books/woit-qtgr/2025-10-20/en/chapter-38/09-fermionic-fields.md": "83dfff5815d1ac6143a6e4061a534e8bc08a25dfad8ee66b398d2f19c23c858b",
    "books/woit-qtgr/2025-10-20/en/chapter-38/10-for-further-reading.md": "b9419e8edbdef361d2bba77eb40bb469c788c8183ae10a1dc2906a29dd627deb",
    "books/woit-qtgr/2025-10-20/en/chapter-38/index.md": "e2bf8443152e384fba340264a6a8a541f369b1ed12e01c32e9c9c9041883a3c5",
    "books/woit-qtgr/2025-10-20/en/chapter-39/01-inequivalent-irreducible-representations.md": "2068ddcffe20e244452341dbfbbbf92b2838c8a2914899ab6fbf20084e820295",
    "books/woit-qtgr/2025-10-20/en/chapter-39/02-the-restricted-symplectic-group.md": "2ac0c49e3668310b7173b6e8c4779b5470fe9313451e32160b812bd04340fb8f",
    "books/woit-qtgr/2025-10-20/en/chapter-39/03-the-anomaly-and-the-schwinger-term.md": "40fde8ead2a344961c7bd9ab86bad94a100680204c2caf4d78fc89290c14fb59",
    "books/woit-qtgr/2025-10-20/en/chapter-39/04-spontaneous-symmetry-breaking.md": "371caea7902ae61115f6a48877b901c32e51f1fede2952ddd5e03374ad0e39cf",
    "books/woit-qtgr/2025-10-20/en/chapter-39/05-higher-order-operators-and-renormalization.md": "e31da66eec9448d0ec45013f2cc9793170b58b19ab53fcd811e48b1f40d10de1",
    "books/woit-qtgr/2025-10-20/en/chapter-39/06-for-further-reading.md": "edd4904b3f891c812c2e8d2c5c88ad69627eb4e32aadec45b57ba640a8e7875a",
    "books/woit-qtgr/2025-10-20/en/chapter-39/index.md": "636b63729c3d4de65637b2522f1a7db839664e48fb945654eaaafd030aee2b62",
    "books/woit-qtgr/2025-10-20/en/chapter-40/01-minkowski-space.md": "1dc239989b9eb2d24bb869dc7c52239df2b176aa11b82fd7d1d2e2cf158dc172",
    "books/woit-qtgr/2025-10-20/en/chapter-40/02-the-lorentz-group-and-its-lie-algebra.md": "5ce4eb0d44a58afd197411c86ec73d5c5ea611b6223521ac331d406dfa831f53",
    "books/woit-qtgr/2025-10-20/en/chapter-40/03-the-fourier-transform-in-minkowski-space.md": "9dabb043c559171c8dd6805832e9209acf2487e0a66c08a446684f52109fcafb",
    "books/woit-qtgr/2025-10-20/en/chapter-40/04-spin-and-the-lorentz-group.md": "ad1eb811be151ce211ab0e120eb6245c9a194482c7548bec70aa0a2adf308de2",
    "books/woit-qtgr/2025-10-20/en/chapter-40/05-for-further-reading.md": "863934404a9960a3b4d97c7c3de788f7c969bc5d8b9731ce1a61ea52de70c5b5",
    "books/woit-qtgr/2025-10-20/en/chapter-40/index.md": "faaf7c3e4db7048642092ded1868160526ad153b8e62b00d53565047f12eaebe",
    "books/woit-qtgr/2025-10-20/en/chapter-41/01-representations-of-the-lorentz-group.md": "205ce276d3acd4f0b1fbae2a1e78adf0097292706f2c179b82bdf413348b3a43",
    "books/woit-qtgr/2025-10-20/en/chapter-41/02-dirac-gamma-matrices-and-clif-3-1.md": "ad29b3f1f00acb978099a88c7dd6bab1a6344b3c38eaf28230f72cc53c4c773e",
    "books/woit-qtgr/2025-10-20/en/chapter-41/03-for-further-reading.md": "e23b293c3c880d22088b5117d7274354331b61385e06cf167d16f1a80dba5d6f",
    "books/woit-qtgr/2025-10-20/en/chapter-41/index.md": "a86bef1ec611c2b5f19fd0f6ea81dc589378248116b16d21b08ee1528ed90410",
    "books/woit-qtgr/2025-10-20/en/chapter-42/01-the-poincar-e-group-and-its-lie-algebra.md": "292f58076c4af432d30d64904f44030e8f9a8632eeb0ed99a5c006a93805d5d0",
    "books/woit-qtgr/2025-10-20/en/chapter-42/02-irreducible-representations-of-the-poincar-e-group.md": "d7ea8eb4a9867806a8915cf39f4db57874fb0202edf1182406316864ae2770c9",
    "books/woit-qtgr/2025-10-20/en/chapter-42/03-classification-of-representations-by-orbits.md": "da9c8eee7cedaa5ab3afc5d2d1b6302bfc669f741c132e8cddc3b7cbe3ad633c",
    "books/woit-qtgr/2025-10-20/en/chapter-42/10-for-further-reading.md": "f7ca8eae85adf3a97a036515795007be9f9ac59e860d7ae129d8f3218da1d189",
    "books/woit-qtgr/2025-10-20/en/chapter-42/index.md": "85fed161e5e65885567a284b8e471a5bb5b0635d8b90e30e7866eadb87fde8e5",
    "books/woit-qtgr/2025-10-20/en/chapter-43/01-the-klein-gordon-equation-and-its-solutions.md": "3bef23bac9196e6f047c2cd69e68fe0356dc3065cc4d68a49488d2b5045e15d8",
    "books/woit-qtgr/2025-10-20/en/chapter-43/02-the-symplectic-and-complex-structures-on-m.md": "8e1f38aa81add0ec646025f9e52d61269aeca23409f0d044749f324c04abba9a",
    "books/woit-qtgr/2025-10-20/en/chapter-43/03-hamiltonian-and-dynamics-of-the-klein-gordon-theory.md": "3f4b2439a9ff695d2e13e6d605d4db227f927eab79f65243e637582f329d4553",
    "books/woit-qtgr/2025-10-20/en/chapter-43/04-quantization-of-the-klein-gordon-theory.md": "20744e45daffc71a26bbd5d6e42117249a121a74596250561cf8cc889db1c1c1",
    "books/woit-qtgr/2025-10-20/en/chapter-43/05-the-scalar-field-propagator.md": "a89725c4bec2c9853523fc44d1ae62c66ce0c4979b21080446c6626f0084a812",
    "books/woit-qtgr/2025-10-20/en/chapter-43/06-interacting-scalar-field-theories-some-comments.md": "ae1a8dcb5c18a386a57fa67c620ac5f8ad6d83a332dcc30f541e2c3a973efbfa",
    "books/woit-qtgr/2025-10-20/en/chapter-43/07-for-further-reading.md": "891b4884cb09fe73baf54459cf31e433cc6713a2bea33d2f43c11f62cd80030a",
    "books/woit-qtgr/2025-10-20/en/chapter-43/index.md": "816b8b0048ba843db9215840f41f9cca664b2a4c64d5fa85ae1cfbaca3bb9b00",
    "books/woit-qtgr/2025-10-20/en/chapter-44/01-internal-symmetries.md": "937a6e0d5290e73616e49df0ac0504722025d1083ea772a7d0f0b55ab4470939",
    "books/woit-qtgr/2025-10-20/en/chapter-44/04-poincar-e-symmetry-and-scalar-fields.md": "b3d7f362fe271376dbf616b05c79cbfa219dde7b5cc6298d8ab5258a83e244f4",
    "books/woit-qtgr/2025-10-20/en/chapter-44/08-for-further-reading.md": "d403366a6a8b34d303294f8b946508def1530bdd17bf980e2ddf1f99c62b86bb",
    "books/woit-qtgr/2025-10-20/en/chapter-44/index.md": "765208b4a9eb12a6078a7215151055a7d147d31e7f6fd02911cb18c4fb77de93",
    "books/woit-qtgr/2025-10-20/en/chapter-45/01-u-1-gauge-symmetry.md": "571e8d595fef9205d90a7809922985c70c78661083075ba1c498336e3a4adcd0",
    "books/woit-qtgr/2025-10-20/en/chapter-45/02-curvature-electric-and-magnetic-fields.md": "4ed6aa83bd98458877c0b7ab5bb993714ab7ff31e04c4c7f96bec76c62b66ee3",
    "books/woit-qtgr/2025-10-20/en/chapter-45/03-field-equations-with-background-electromagnetic-fields.md": "b4ebd4debb7051ae4c28e21d33fca49b67f7bacd45ad9b741c46fdf02825f383",
    "books/woit-qtgr/2025-10-20/en/chapter-45/04-the-geometric-significance-of-the-connection.md": "6d6aa37a00491193d3b62fdeb4c14f1789ff090d774d868a5ef18bcd6b9b20f3",
    "books/woit-qtgr/2025-10-20/en/chapter-45/05-the-non-abelian-case.md": "0f0074b9e1eeee07e1340eeb51f5c305005e2fdee9f0930ce60e0e58cba1bde5",
    "books/woit-qtgr/2025-10-20/en/chapter-45/06-for-further-reading.md": "05820e7e8ebdb48fd00c187d71d8b13007e89784ee71dbefaf60dd59f1d3e3ba",
    "books/woit-qtgr/2025-10-20/en/chapter-45/index.md": "bf27f894f09b49f3d56f903a4dfd3318d8a3be740e629725ad24fed93cc021fb",
    "books/woit-qtgr/2025-10-20/en/chapter-46/01-maxwell-s-equations.md": "978a460b88a7b1c4e2b8c5e5184d5d82fa94c555a0e73ffc5d938fd87594118e",
    "books/woit-qtgr/2025-10-20/en/chapter-46/02-the-hamiltonian-formalism-for-electromagnetic-fields.md": "f8ff540a35a07e83f0ba54b5723b419ee7777668bd79fd2845fa7c9276d325e1",
    "books/woit-qtgr/2025-10-20/en/chapter-46/03-gauss-s-law-and-time-independent-gauge-transformations.md": "487a60cde4bb3c7ad4bcec8166c624c00dc6fef7dfb144766321434f956e7dab",
    "books/woit-qtgr/2025-10-20/en/chapter-46/04-quantization-in-coulomb-gauge.md": "b8f77c5adf8664aea526c2704fc83763cff6ea88805e723565d0307a2d32f28e",
    "books/woit-qtgr/2025-10-20/en/chapter-46/05-space-time-symmetries.md": "3e7819531fc46b02cb9faeaa0f01e4cc4591eda97d0f2654c8fca2dc0a0ed5fd",
    "books/woit-qtgr/2025-10-20/en/chapter-46/09-covariant-gauge-quantization.md": "c3522c805d0d83720d85bb4e51c5484c03b72c4520715102e6c3061c56afe207",
    "books/woit-qtgr/2025-10-20/en/chapter-46/10-for-further-reading.md": "d2a8ca6fe053b10e6aff62b8db67110069884ba70f0accbe6b456a5f613ad33e",
    "books/woit-qtgr/2025-10-20/en/chapter-46/index.md": "4395095e346f1726537b5ecf64bffcb928ff49e08ec5f2b62a9ed74f1fc5e146",
    "books/woit-qtgr/2025-10-20/en/chapter-47/01-the-dirac-equation-in-minkowski-space.md": "c506689ce8cf3770a9b0bdd35686e311902ae78b5fd9d0d35023e36d39d878bd",
    "books/woit-qtgr/2025-10-20/en/chapter-47/02-majorana-spinors-and-the-majorana-field.md": "296776a837a167278bf91fa7de96c7fafcbd69faf873d2a0dcfc58b2be9f595f",
    "books/woit-qtgr/2025-10-20/en/chapter-47/05-weyl-spinors.md": "3d915e871caa4d535b3a44b26f4639ea70269c34c7a5eb5d1d666339c8ef3f86",
    "books/woit-qtgr/2025-10-20/en/chapter-47/06-dirac-spinors.md": "0df67d009af58d7c1d886ddcd272462a30b28f0a2b62e72ae35901207c75b34e",
    "books/woit-qtgr/2025-10-20/en/chapter-47/07-for-further-reading.md": "7f89804398f41c9bd634753024bcac62f9f567b48509933d1c3ae0df31832ee3",
    "books/woit-qtgr/2025-10-20/en/chapter-47/index.md": "ff214589275a9abf18b7570434b7cbad2e99b94e1f946f328f92bee45c4e6d8a",
    "books/woit-qtgr/2025-10-20/en/chapter-48/01-non-abelian-gauge-fields.md": "151d25516971a8a552d1768d2c101ad9948d83e2546f26fa87189df5b0595c79",
    "books/woit-qtgr/2025-10-20/en/chapter-48/02-fundamental-fermions.md": "9a4f1bd9528eb834b58cf5ad2a4ff134c19fa6712105c4e87abfb684ab487408",
    "books/woit-qtgr/2025-10-20/en/chapter-48/03-spontaneous-symmetry-breaking.md": "4f9eaaffa257b0cfe6fb9e7b09785f773a0ecc1e939eb31413de416a15458865",
    "books/woit-qtgr/2025-10-20/en/chapter-48/04-unanswered-questions-and-speculative-extensions.md": "3a3b238353b701bb6d1d1bf87c4ca7452c1ff7982bec1702593dcc155325c15d",
    "books/woit-qtgr/2025-10-20/en/chapter-48/11-for-further-reading.md": "8064433c1d8d11271a49649ced75eabc07def7e976515646301ec2db26939075",
    "books/woit-qtgr/2025-10-20/en/chapter-48/index.md": "4c938db3b6c4668be4d91a354eeecaee56ba2b5297cee1bbcd1655d2b07f12b0",
    "books/woit-qtgr/2025-10-20/en/chapter-49/01-connecting-quantum-theories-to-experimental-results.md": "53195c5e6954211e34e87940e563fbc022a493d22b47a5655eb08c2902fbaf47",
    "books/woit-qtgr/2025-10-20/en/chapter-49/02-other-important-mathematical-physics-topics.md": "8b8ce53715e06e94c8287f27e0926268dbc7935a532dab1a2ae3e5d67c9d65ba",
    "books/woit-qtgr/2025-10-20/en/chapter-49/index.md": "d46969d90efad8e163451963ccffc87eab9ce51ba4cc30f98f59b5bb967fa708",
    "books/woit-qtgr/2025-10-20/zh/appendix-a/01-bilinear-forms.md": "c2bc0bd07f1d9542c557e7b3f897c3f726d6899cb39f01d0f79a193411d9ac30",
    "books/woit-qtgr/2025-10-20/zh/appendix-a/02-fourier-transforms.md": "76b212264582479c510d4a7532f46fb70d599c8986ee219bcd2e0efc52abed98",
    "books/woit-qtgr/2025-10-20/zh/appendix-a/03-symplectic-geometry-and-quantization.md": "ab77f87e9eb762e59df3faaa056e62a22deb4c2308c0fa727c5f9d93b7fbbfd5",
    "books/woit-qtgr/2025-10-20/zh/appendix-a/04-complex-structures-and-bargmann-fock-quantization.md": "e9af2dcc44d6a82ae44e9b42d19c1b4638f6759212fc8b842336c0ba590f675e",
    "books/woit-qtgr/2025-10-20/zh/appendix-a/05-special-relativity.md": "3899a59381f92fb852b0841bdf636c17ef1506cfdafc1cb7b3ef677220dde116",
    "books/woit-qtgr/2025-10-20/zh/appendix-a/06-clifford-algebras-and-spinors.md": "b704882c80905156d82766c45502e57df9bdd70d9e80c04bd9ec1c7df4f17c35",
    "books/woit-qtgr/2025-10-20/zh/appendix-a/index.md": "e6bea029e764d0dacb5a05d455705e0683db81a4dc7eeec8e02da104d4df4d15",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/01-chapters-1-and-2.md": "dd85b17428d8ad603b0d968cbfe05a8c7f7e6567dd1cd15c371bb1d68bb27fa1",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/02-chapters-3-and-4.md": "97c0f3bc3aafc48e0137409136fa40922e51b5a2b1c50d9e61c09b63eb04ceed",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/03-chapters-5-to-7.md": "eeb24fca43a8be20ba1bc6fe30dc56aa3ddc5a33484afd69cf09f5344f79da89",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/04-chapter-8.md": "d80031105f8029de039edfecf25fd3c3f857efa0c8c573e895476ddd20a586ef",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/05-chapter-9.md": "7b0c4b1b94fe2fdfe36f6320b2722f29529e1ba60b9dbf976298216eb09a8577",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/06-chapters-10-to-12.md": "ee18957975d1b16464093ac97d89e2e73e33d4d6c4bd12e8bb29ca9b3bf1e879",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/07-chapters-14-to-16.md": "a4760735a3a1a99e17379c8827786a4c687150832788e44532d6e666aaf1021a",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/08-chapter-17.md": "be8374f8e40e1004167db019441cc375ca1c29a2d23daa1064591827b7319097",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/09-chapters-18-and-19.md": "788585764ac4dc0ec7c62b6131a818bfba4a305e0040956b353133f51c9e2378",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/10-chapters-21-and-22.md": "d4c036f72f5510336b821b6e0db25a7e3ef45f09f658209e85aa0b209faadc64",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/11-chapter-23.md": "faebb7585492e458b203531244d3b33466e4682ba587a6423729276a58c197c9",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/12-chapters-24-to-26.md": "885b3724dd5ec3fd904ba3c18eb8feca591167bedd8b564c6f3e28f103499feb",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/13-chapters-27-and-28.md": "804a8cbf87dcde55f28beab33f3be2883bc0198f81dcc8618a386acdc31fde01",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/14-chapters-29-to-31.md": "d474770bf887d659c37bb9057e1ec10da09ab5107a482067edb7a45d9486339c",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/15-chapters-33-and-34.md": "30f9b1534643140f0e93f36ef0cf809c115d4a82443a0b8a6edb5d8850d094f5",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/16-chapter-36.md": "0612edfca476784e3104163df73c1b38e78bf9f2bf454199ff4f9f2679778fcb",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/17-chapters-37-and-38.md": "325ca3481efbf5b40919cafe2a89b1485b148bc47d3c2da678ad842abedfaeda",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/18-chapters-40-to-42.md": "c69f90c8cf90b46d7ccc9753e9e8f04e3bc646d925da3f136533ffe415df84bd",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/19-chapters-43-and-44.md": "6890b8af10afde741f2553718bc3ee1c3cac853b400deadfcb1447d1e8488ac5",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/20-chapters-45-and-46.md": "b2c20c7a1422d3c6090c73079b60ecf90e712131d2ff8765c32b23ab9bb1d4b9",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/21-chapter-47.md": "7aa17049925ecbca4831670dae98747177cd9b466aca03494ce01ca457a520c7",
    "books/woit-qtgr/2025-10-20/zh/appendix-b/index.md": "e092c9c1b90ae0d310a7457e94f6569a9974aaacc809cbeae58fbb382f86bc33",
    "books/woit-qtgr/2025-10-20/zh/chapter-01/01-introduction.md": "93d8e55044b61fa2919fcbf375d4ef9df626933461060fb2a7103ac2b09e3653",
    "books/woit-qtgr/2025-10-20/zh/chapter-01/02-basic-principles-of-quantum-mechanics.md": "99f4970c9db6d9ce77b4a64acccb2993c200b986fea023cc4d14e79b6881b92e",
    "books/woit-qtgr/2025-10-20/zh/chapter-01/03-unitary-group-representations.md": "4ee587fc4d72d2916ca8f6bce8080ecd42e2ae3d45d92d067027a95982f00008",
    "books/woit-qtgr/2025-10-20/zh/chapter-01/04-representations-and-quantum-mechanics.md": "651b93af49354643df29235b5d5a8624db703c2491d04f67cb8fa292c50899ca",
    "books/woit-qtgr/2025-10-20/zh/chapter-01/05-groups-and-symmetries.md": "1321c791c1469053acdc329c3f76e511d7524ef15f0ea30892381208e4ce1bf6",
    "books/woit-qtgr/2025-10-20/zh/chapter-01/06-for-further-reading.md": "de814af980ffd0a0723a2a5ba84f60d165160950d6cd97eab11eff1967204288",
    "books/woit-qtgr/2025-10-20/zh/chapter-01/index.md": "7091dbbe97c3a09dca90c058378b7b0372ad09e369a395ebafb9f748a764e696",
    "books/woit-qtgr/2025-10-20/zh/chapter-02/01-some-representation-theory.md": "42b32dda09af12d2236451f0c9b29db8c863f217a1374b2e7d4d7efd1d69b961",
    "books/woit-qtgr/2025-10-20/zh/chapter-02/02-the-group-u-1-and-its-representations.md": "a3ac9e2453498f3e54871a0eea32d79b92c27d625bee0884bdc82db6f567d38c",
    "books/woit-qtgr/2025-10-20/zh/chapter-02/03-the-charge-operator.md": "7cb1477fa88eec92b663ed1fa2fbaf470545debc891586ca27b06d984f4bd895",
    "books/woit-qtgr/2025-10-20/zh/chapter-02/04-conservation-of-charge-and-u-1-symmetry.md": "7d6c737b239fc423c77c94b0a38f37084e2864d30cdcfab9fb37c61ae4613026",
    "books/woit-qtgr/2025-10-20/zh/chapter-02/05-summary.md": "e72ea9214837b30fae3400421fd525ccfd77fa1785d3071aaed7db2249a0df93",
    "books/woit-qtgr/2025-10-20/zh/chapter-02/06-for-further-reading.md": "98bd81de71f682b8fee6f7acc89dc74a9c5280319d9d4bf6490918b22633d625",
    "books/woit-qtgr/2025-10-20/zh/chapter-02/index.md": "419ac63f327dd8ec1940b506658884008ceb07824f738873312b5a720d3bf3b1",
    "books/woit-qtgr/2025-10-20/zh/chapter-03/01-the-two-state-quantum-system.md": "45b988396e9d8b60042fff90b58ac157f2196275c5c7e86231f3f54857f6c921",
    "books/woit-qtgr/2025-10-20/zh/chapter-03/02-commutation-relations-for-pauli-matrices.md": "59260a454f4e5877261b20806d461df669f06f442a99b7596955f4ec200babfb",
    "books/woit-qtgr/2025-10-20/zh/chapter-03/03-dynamics-of-a-two-state-system.md": "bf7bed127428e26ee378fb9b0fdf940a9534adebb0b55c3a053bcb959f95722e",
    "books/woit-qtgr/2025-10-20/zh/chapter-03/04-for-further-reading.md": "aadaf4385dd4a4a937c62a1c1d79642e9aeb95d052d9152953eb88a92cf795b7",
    "books/woit-qtgr/2025-10-20/zh/chapter-03/index.md": "4a9c5a145c5fb0f103ac15e5733aef1fa12cc7d39e49b626cc7ad9b272f03a09",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/01-vector-spaces-and-linear-maps.md": "c0dc763683b75205317bd9c7651ff56544eb9e566deb8f6f7be4d14f18c70600",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/02-dual-vector-spaces.md": "938d19d061a8b69c758beeb064276f3de2f0639a77ac963f124b6481149d29e7",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/03-change-of-basis.md": "bec696b6f936752cf0758c469855e6cc4fc2c00529b2390e1c917724951f8b42",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/04-inner-products.md": "c54ec5f2ad1d0763a798ff6ab716edefcb19877338971aaeb1a950c5d9b5263b",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/05-adjoint-operators.md": "407e1079b0b6b24be173efe6c00066f6001dccb8a0c0caf1ab0376990bac1b24",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/06-orthogonal-and-unitary-transformations.md": "275772d36042626ed5283276e9f16090689e690c0c3bf42b24860f610c397103",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/07-eigenvalues-and-eigenvectors.md": "8286f925db1403c9f914ba0ff3d431f42dd161d85f19656a9a0833745e908bd2",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/08-for-further-reading.md": "d22110d1cb262341c812a03b1248c388b1278f0e87d54fdc44c7f1eb2d42e062",
    "books/woit-qtgr/2025-10-20/zh/chapter-04/index.md": "817da894ad55f033a62579af99ad92654dc5d97f7febfd4ec212c025ede48f81",
    "books/woit-qtgr/2025-10-20/zh/chapter-05/01-lie-algebras.md": "47f1367423fa89a95cee83dbd4e40574acfb74d2310cc08c408bfc24852b5cf1",
    "books/woit-qtgr/2025-10-20/zh/chapter-05/02-lie-algebras-of-the-orthogonal-and-unitary-groups.md": "cd2fe97233e7ab8a4066bf27131c8507306f49a2252f8c8caa8cc892f2b58020",
    "books/woit-qtgr/2025-10-20/zh/chapter-05/03-a-summary.md": "86d5a8da021c3a18d05cc820dea61025c491f59a670c377216b56921944f4343",
    "books/woit-qtgr/2025-10-20/zh/chapter-05/04-lie-algebra-representations.md": "7b44f63f358be0b87925985afa44ebc92b5cb64195e88543ca8324274528e188",
    "books/woit-qtgr/2025-10-20/zh/chapter-05/05-complexification.md": "0b31a4cf972e58db39c7715a98619c4008d44362b58f121f856182524f567537",
    "books/woit-qtgr/2025-10-20/zh/chapter-05/06-for-further-reading.md": "8d82a2e38f31c3ab6a0ab6b1a7430d02c05059449d5103a64c4c50454b09abfb",
    "books/woit-qtgr/2025-10-20/zh/chapter-05/index.md": "65b2ac04918db45caf4f84c277f909f47d7f4463d736b46d4095bd44c033e829",
    "books/woit-qtgr/2025-10-20/zh/chapter-06/01-the-rotation-group-in-three-dimensions.md": "ecece04eca2e438d0f7e3a6772c77b70e817b3510d427b2a5218ae21ace6067c",
    "books/woit-qtgr/2025-10-20/zh/chapter-06/02-spin-groups-in-three-and-four-dimensions.md": "d5776d5bdae66f74cdbd2aaeda0ef4ffb4148f08eeb21a72c16dd61bab582129",
    "books/woit-qtgr/2025-10-20/zh/chapter-06/07-a-summary.md": "51224e8d409a684fb67417edf938c1deffb0aa708773316223994618d7a07300",
    "books/woit-qtgr/2025-10-20/zh/chapter-06/08-for-further-reading.md": "5afaef46c2cdb5135e243f6e32b4ea6b720cf24da012888c255188aa80770698",
    "books/woit-qtgr/2025-10-20/zh/chapter-06/index.md": "dd1a121ca0f4f29c9cb27f99243689dc3f7330ed4e285587ecd7168faaf8ac14",
    "books/woit-qtgr/2025-10-20/zh/chapter-07/01-the-spinor-representation.md": "3bf7a61152ec8da38212ac86935b672a5739debafd35daed43c2f6c6fd6e56ef",
    "books/woit-qtgr/2025-10-20/zh/chapter-07/02-the-spin-half-particle-in-a-magnetic-field.md": "af42ca8c868bc2cdc5dca3ef8a46b1cd266fae227aaba16f410d9185fd6d5068",
    "books/woit-qtgr/2025-10-20/zh/chapter-07/03-the-heisenberg-picture.md": "5f8a0b2cc9d948646265bae64b9542fa1540f818465f92fddd4b78fdfc0c7c90",
    "books/woit-qtgr/2025-10-20/zh/chapter-07/04-complex-projective-space.md": "dece3546a425ea2c52b709472898bb8128e5d5d751614a636ab79e1e1bbfe61c",
    "books/woit-qtgr/2025-10-20/zh/chapter-07/05-the-bloch-sphere.md": "de552b03ab3055e24dfb26031f138fb19cbe14a7e10ebbc86ec881b4f379f724",
    "books/woit-qtgr/2025-10-20/zh/chapter-07/06-for-further-reading.md": "efc3e7577034b577178e60021e92e3b3f789ebe37f8a8a466d05611e2a314a6d",
    "books/woit-qtgr/2025-10-20/zh/chapter-07/index.md": "59d996c52535a7b0942386c5bccd034714339913a30c1173b414ed66b01bce87",
    "books/woit-qtgr/2025-10-20/zh/chapter-08/01-representations-of-su2-classification.md": "cf786c7ce3f6afd880138b37fa89987afd915cbde7fda18f0d67a4afabf72dca",
    "books/woit-qtgr/2025-10-20/zh/chapter-08/04-representations-of-su2-construction.md": "783eea80bd99775b49897969bb49d5506b80776e1cccdb9fd5451d48f06b057c",
    "books/woit-qtgr/2025-10-20/zh/chapter-08/05-representations-of-so3-and-spherical-harmonics.md": "2f86c25ad2aa394c64012a3cb6c021f70ae9ab7d04826029849b37708b586adb",
    "books/woit-qtgr/2025-10-20/zh/chapter-08/06-the-casimir-operator.md": "df1f0094abfe35c29291e37eba94a8ddbe0a2d56a125dcb6a91b11b25151f30e",
    "books/woit-qtgr/2025-10-20/zh/chapter-08/07-for-further-reading.md": "4f50dc1b5fe4246b5cf049b2dad93c8bc09a8bf9a1e96827dd09a20f24387a61",
    "books/woit-qtgr/2025-10-20/zh/chapter-08/index.md": "7327a3965dc1e8aa6c5af205b199f1d51fc3a19a06a60662d2e726bdd228e684",
    "books/woit-qtgr/2025-10-20/zh/chapter-09/01-tensor-products.md": "b57eaae755d44cb1e81d54d58b1d659978bb40509dccc3565442e12ea68ff5d3",
    "books/woit-qtgr/2025-10-20/zh/chapter-09/02-composite-quantum-systems-and-tensor-products.md": "5fb0f36e93daf922c9d886c75ccdae6fb470e5d1e86bcceda240005167142299",
    "books/woit-qtgr/2025-10-20/zh/chapter-09/03-indecomposable-vectors-and-entanglement.md": "ea7c2f2542b3e1bcd7b6a2ae95c415cb3f9dafef751ac29c35a407cc68c8c3a9",
    "books/woit-qtgr/2025-10-20/zh/chapter-09/04-tensor-products-of-representations.md": "1d4dd7dd9c43a9dd38d15e6377795a8ce87e81c38569e13b0b5f9485d63303a1",
    "books/woit-qtgr/2025-10-20/zh/chapter-09/08-bilinear-forms-and-tensor-products.md": "587ca892a60d5cf86f38cdac56433b5538fa9197271b5379113132b28a3e94bb",
    "books/woit-qtgr/2025-10-20/zh/chapter-09/09-symmetric-and-antisymmetric-multilinear-forms.md": "1f15459670aa0e46f6db9c2203c7ac1ece1bd050d3496dbe8fa28eefcef7e00a",
    "books/woit-qtgr/2025-10-20/zh/chapter-09/10-for-further-reading.md": "e88e80a2d59b146196b7d148e2f8c29929895dea8c7924781d40d6dc5e52f849",
    "books/woit-qtgr/2025-10-20/zh/chapter-09/index.md": "acb77f42cbd0262c94374273f48b233b84e77eef946bc937e4da35343a5d437f",
    "books/woit-qtgr/2025-10-20/zh/chapter-10/01-the-group-r-and-its-representations.md": "9da13c8b538db87c7d9f03143fc79fb9a61d4a436d49638c5b5c3183019d8b81",
    "books/woit-qtgr/2025-10-20/zh/chapter-10/02-translations-in-time-and-space.md": "16dc94d716262f91efe34303ec64a9020752f19643d817632122fb8cb8c13325",
    "books/woit-qtgr/2025-10-20/zh/chapter-10/05-the-energy-momentum-relation-and-the-schr-odinger-equation-for-a-free-particle.md": "b953b3e7e121d1e3d7c401a164402a2e311c11de3f885b101626c4a4c68733c0",
    "books/woit-qtgr/2025-10-20/zh/chapter-10/06-for-further-reading.md": "9e00cd4b28b855a51103fad20e088cea642998f2656f80eaef7400f2b900cc2f",
    "books/woit-qtgr/2025-10-20/zh/chapter-10/index.md": "ad89b3affa044230ad58955917172e8f2ae9e7cc94566ceb299c6988bc6e1986",
    "books/woit-qtgr/2025-10-20/zh/chapter-11/01-periodic-boundary-conditions-and-the-group-u-1.md": "c0255c009e5129ae7de8245393bbba6fec9042dc764740e4611f469c296b26ed",
    "books/woit-qtgr/2025-10-20/zh/chapter-11/02-the-group-r-and-the-fourier-transform.md": "001cc2dcd8b764bace6f211bd9e75d8d033ed36d4c29d64d3702dc5b08702d3d",
    "books/woit-qtgr/2025-10-20/zh/chapter-11/03-distributions.md": "8959563dd3d6bcecdab325329d1e29685fbba6dca16abde7e24c5e577bc5c854",
    "books/woit-qtgr/2025-10-20/zh/chapter-11/04-linear-transformations-and-distributions.md": "fc5bc0198c147ae89a2a71716ef787136449df7fb51c2e6f5001d2b5e24f8257",
    "books/woit-qtgr/2025-10-20/zh/chapter-11/05-solutions-of-the-schr-odinger-equation-in-momentum-space.md": "0bc46a6d715c53fe4298bfba75971d38b38f637654b573251d40360c22e83f70",
    "books/woit-qtgr/2025-10-20/zh/chapter-11/06-for-further-reading.md": "cf89e3cdd69cf51c31d9803b23f1061328e5225c6563cae55465bfe0cd966d53",
    "books/woit-qtgr/2025-10-20/zh/chapter-11/index.md": "1fe4702ffb6e2867622b35448f5b053d4cda9769fb51b1312ab056462d400de7",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/01-the-position-operator.md": "c1687d242aa7a9664e3aa4ec34e7c5a086a5db6643b325b2e08851b757ba85b1",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/02-momentum-space-representation.md": "4e23aa67573fbef4460816db18e5ffc3ed396ca500d9026be72b647d7c34febc",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/03-dirac-notation.md": "1318658ef29e86cd59078e9276ffc0e7f3ddde47d9531dc72fac72aafb3075cd",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/04-heisenberg-uncertainty.md": "bb91e92df51bf5346dc2e3c05db573d9c67bf7dc100d397911bf06aaa95d8db8",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/05-the-propagator-in-position-space.md": "a1f6a03d896e783e053f7b556c673f2a878cb2c75b1bf81caffe03b833e66026",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/06-propagators-in-frequency-momentum-space.md": "a67b57f78dc3bdf8671a1cac553986eba7fe197415a69dccb7884ebc9ffea302",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/07-green-s-functions-and-solutions-to-the-schr-odinger-equations.md": "c901ce6cfe8b9f3ca43b1ff304ab8093492e5e42147552ab8c5f72c13972bafb",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/08-for-further-reading.md": "e2ccf85968f8f15124d7336c7c7940c71ccbc806f509d975ebcc7e593164bf2d",
    "books/woit-qtgr/2025-10-20/zh/chapter-12/index.md": "d551d8a6e382f119633e12e5032702cf23edf2edfe32af21f25107b358b700f6",
    "books/woit-qtgr/2025-10-20/zh/chapter-13/01-the-heisenberg-lie-algebra.md": "b9e2f1236d6cddef9c1c4a7ad91ed38fd91c88df98d852706e2bbc314e892349",
    "books/woit-qtgr/2025-10-20/zh/chapter-13/02-the-heisenberg-group.md": "bc0efea142fc4deda668255645c082b656100d3340fefbe73cf3fcd2d854bfef",
    "books/woit-qtgr/2025-10-20/zh/chapter-13/03-the-schr-odinger-representation.md": "1607b496db287f9b6b834b1ac32cbc2e1883d1ffb09f21bbd7be7f1df59fcd86",
    "books/woit-qtgr/2025-10-20/zh/chapter-13/04-for-further-reading.md": "3862927f861ceaec11af3ce7cbc055dcf466205cc31b95552ae0dfe651e1ec29",
    "books/woit-qtgr/2025-10-20/zh/chapter-13/index.md": "875e9750a51ef58b8a752dbb89641546ab8a9e2e0e16658c4b5431587c5ebb23",
    "books/woit-qtgr/2025-10-20/zh/chapter-14/01-classical-mechanics-and-the-poisson-bracket.md": "cd5d2d7356458e20bae2675536099011e73377140a0d2ba5b5f01191ecc64487",
    "books/woit-qtgr/2025-10-20/zh/chapter-14/02-the-poisson-bracket-and-the-heisenberg-lie-algebra.md": "206f40c89a1ef6ad6ab56d41343192a3390d9da9883263e5c14be28b6cda9288",
    "books/woit-qtgr/2025-10-20/zh/chapter-14/03-symplectic-geometry.md": "a5201f01c6f7e21eb1947b016df214d779bd89ce74c57dcc64ac23ec88adea46",
    "books/woit-qtgr/2025-10-20/zh/chapter-14/04-for-further-reading.md": "7cbb1aa50effc424f232b1c21a21acb3af02c3c04d1a4bbc399d114cb5226c9e",
    "books/woit-qtgr/2025-10-20/zh/chapter-14/index.md": "1d1e869e4e848b201090130baa745d5ea43b3065a565d584d41385763c63110d",
    "books/woit-qtgr/2025-10-20/zh/chapter-15/01-vector-fields-and-the-exponential-map.md": "c57ff5b23a72a1078a08e864e3c69ec6184e9757d6c35cd0c024ff54fc3db06b",
    "books/woit-qtgr/2025-10-20/zh/chapter-15/02-hamiltonian-vector-fields-and-canonical-transformations.md": "7dad044ddf4bfa479d6eefef8474f3f2aefd1287253063ffa62891cf24ccb600",
    "books/woit-qtgr/2025-10-20/zh/chapter-15/03-group-actions-on-m-and-the-moment-map.md": "93227314eb27987804b3a7a69011011c8c9bba7d67cbb387d7e32c38848439c9",
    "books/woit-qtgr/2025-10-20/zh/chapter-15/04-examples-of-hamiltonian-group-actions.md": "182786aac72372c1a0ea45afd68f5bcdf27b1016c6411d8f1c7d66be7c0c6b04",
    "books/woit-qtgr/2025-10-20/zh/chapter-15/05-the-dual-of-a-lie-algebra-and-symplectic-geometry.md": "a827bf8ee2afc8af64757e7c350bc9c6b11612f9fe61b36cab093f4851d45fd6",
    "books/woit-qtgr/2025-10-20/zh/chapter-15/06-for-further-reading.md": "0f3d0323b8a82eedc8fdafbffd34994046899e94b60a36be0b22a994b79b3669",
    "books/woit-qtgr/2025-10-20/zh/chapter-15/index.md": "456e30312956d1c42a65b14809cee7c2cc654fe51bc1cd3b70b7bb72bf19ac71",
    "books/woit-qtgr/2025-10-20/zh/chapter-16/01-the-symplectic-group.md": "5d0feb2b6d5a17ec427c9df5dc00639e77e4f399daa61206841492326af9d8d6",
    "books/woit-qtgr/2025-10-20/zh/chapter-16/04-the-symplectic-group-and-automorphisms-of-the-heisenberg-group.md": "1ffbefa0163e5c404bffa31a562813c55f4348bc69a06be855fafafc043d2ceb",
    "books/woit-qtgr/2025-10-20/zh/chapter-16/07-the-case-of-arbitrary-d.md": "98e05dacf1320cda6b5495f999e989e144a58921d9304d27de4af5a54d519bb7",
    "books/woit-qtgr/2025-10-20/zh/chapter-16/08-for-further-reading.md": "3534a5ba6729bafbf3780f3cd6bb28a0b28ba444ccd0f41fd0e0cc33ceede7cf",
    "books/woit-qtgr/2025-10-20/zh/chapter-16/index.md": "c4a689b2867374e43a72b1386cc4695702913fdb6582c752fe7950075ac331a6",
    "books/woit-qtgr/2025-10-20/zh/chapter-17/01-canonical-quantization.md": "87395f062014560f9f2dc4e831ea89d06071d89d35d4b208577f0cef1591d588",
    "books/woit-qtgr/2025-10-20/zh/chapter-17/02-the-groenewold-van-hove-no-go-theorem.md": "2c68e922dbf0d44d4637aa030e4d1a740b0ebf594096b2f58480f55342b38632",
    "books/woit-qtgr/2025-10-20/zh/chapter-17/03-canonical-quantization-in-d-dimensions.md": "f8fd35854b6085f6e73ab82de042a549c77646870a7afd06300fe04605f6a73f",
    "books/woit-qtgr/2025-10-20/zh/chapter-17/04-quantization-and-symmetries.md": "06441025ed7ce96d1a7957377c0dd62a8a284f492e6bec954badfc76021a2994",
    "books/woit-qtgr/2025-10-20/zh/chapter-17/05-more-general-notions-of-quantization.md": "f7382abe09072d463505d951186166590baa0e57865f9670d97564716b6f3656",
    "books/woit-qtgr/2025-10-20/zh/chapter-17/06-for-further-reading.md": "3cf72dd85c5863824da34668b4a2c460e121468bd0e043a3f23317e2090ceed6",
    "books/woit-qtgr/2025-10-20/zh/chapter-17/index.md": "2fded08b22e30eccfc657b425d82c05eea22b4a2871ac72ec3473a6b71645f91",
    "books/woit-qtgr/2025-10-20/zh/chapter-18/01-an-example-the-euclidean-group.md": "fdf975fbf4a6842921c005b9931b6639e16bbc6d825bd08fc8cd2323c495bf09",
    "books/woit-qtgr/2025-10-20/zh/chapter-18/02-semi-direct-product-groups.md": "b5b0ccf8531fb7a967741f1fabd35d601925f6bccb9a55f32738dcaea253f444",
    "books/woit-qtgr/2025-10-20/zh/chapter-18/03-semi-direct-product-lie-algebras.md": "9eea6a5cc1d2f43c26de4f90d81ea64dea059969f93e8c7320e1d06634d60529",
    "books/woit-qtgr/2025-10-20/zh/chapter-18/04-for-further-reading.md": "31d9ff1ebad7c4a13ee71043665e1330d6a59c662e45d6fc7e9cd6c1097cc9cc",
    "books/woit-qtgr/2025-10-20/zh/chapter-18/index.md": "4286537ff6eae231aad202f56f1dda2d18839c25d196238a48413ec69086a46c",
    "books/woit-qtgr/2025-10-20/zh/chapter-19/01-the-quantum-free-particle-and-representations-of-e-2.md": "dee699dc33aadaf3bc7de87f9a493bd6ded98b8b23103915964f93abe6408e0d",
    "books/woit-qtgr/2025-10-20/zh/chapter-19/02-the-case-of-e-3.md": "8344d0ac3ef101a181ea7c16c70f7d1b97da0e31c95bfe9848fc93b756c6f804",
    "books/woit-qtgr/2025-10-20/zh/chapter-19/03-other-representations-of-e-3.md": "392bb7c7ab5761707215f6c12d8014119734865bbea13435f2c0ecb8a3bd6a49",
    "books/woit-qtgr/2025-10-20/zh/chapter-19/04-for-further-reading.md": "8fb16b418c83401694c0b3bb024beb4603b679e733d036c841fe88d7a6482177",
    "books/woit-qtgr/2025-10-20/zh/chapter-19/index.md": "eacaec40cddd548bc4441ffdd3346f1f76bb8361d5a520081bdfdbafe2b2aa6a",
    "books/woit-qtgr/2025-10-20/zh/chapter-20/01-intertwining-operators-and-the-metaplectic-representation.md": "c5aad2c77eef35336cca10e678c9d88a067779699f39fff3eba4a1c0d5ed9aea",
    "books/woit-qtgr/2025-10-20/zh/chapter-20/02-constructing-intertwining-operators.md": "ce9754bcecde383b411da7bd4972c6607406c927fde74bd833e7744dd3410174",
    "books/woit-qtgr/2025-10-20/zh/chapter-20/03-explicit-calculations.md": "658368765e826197acb32c11926e6884da15ffa75366db4a0f6ff1c11eb2f4d1",
    "books/woit-qtgr/2025-10-20/zh/chapter-20/08-representations-of-nk-n-commutative.md": "b446e265e2faa7d0ed251c362f5a3a14406ade68724546c034da0c9a9dadd363",
    "books/woit-qtgr/2025-10-20/zh/chapter-20/09-for-further-reading.md": "780c60703babbc88033b084a19db447f30d436304f67b6fe566ef891ba90a66d",
    "books/woit-qtgr/2025-10-20/zh/chapter-20/index.md": "0f84df975983e7ce2c58f0e7c19b4c23555f081181c9c4efe18db598f57c2883",
    "books/woit-qtgr/2025-10-20/zh/chapter-21/01-quantum-particle-in-a-central-potential.md": "d0cec0d2203586b8920dc1089fb3842e5a2785d5f8f3f13e0b8ebb2d3771347a",
    "books/woit-qtgr/2025-10-20/zh/chapter-21/02-so-4-symmetry-and-the-coulomb-potential.md": "a2bddf9b56e5eee132525ac205a239e2458dc391e37854c5b2bda95fd6364adb",
    "books/woit-qtgr/2025-10-20/zh/chapter-21/03-the-hydrogen-atom.md": "0bcebe5fbb4c2c64ca6d86d38780f3c22f7ec22ce5ece6244caebb8434757608",
    "books/woit-qtgr/2025-10-20/zh/chapter-21/04-for-further-reading.md": "56802a925164cb98bb2250089da5a41984fb2ce69d8037f707eb346d46f1aa11",
    "books/woit-qtgr/2025-10-20/zh/chapter-21/index.md": "e6450cade165d5668f7df6ce65ca8fc704ecc8adc93f7c38279fe68014f555dd",
    "books/woit-qtgr/2025-10-20/zh/chapter-22/01-the-harmonic-oscillator-with-one-degree-of-freedom.md": "efca7ec1387698197d72ba79446ddbe083a92609a93c8481a184835544c9c1e7",
    "books/woit-qtgr/2025-10-20/zh/chapter-22/02-creation-and-annihilation-operators.md": "8111cd030d30397d801fc340e59e1283b3fa061cf224e86e133f5757d87c96ac",
    "books/woit-qtgr/2025-10-20/zh/chapter-22/03-the-bargmann-fock-representation.md": "926d95c2d6151adee1dd616c64a59a054392c02d0923410b8acc0825e4d8fcd1",
    "books/woit-qtgr/2025-10-20/zh/chapter-22/04-quantization-by-annihilation-and-creation-operators.md": "06c6d37732a108f067e8087186ea5eb122188d19cf84bf8bd894363ad3ac4c6e",
    "books/woit-qtgr/2025-10-20/zh/chapter-22/05-for-further-reading.md": "a72dab2ec957cdf0e0664e1fb364240fcab3b38791f2a1d94e70513ad53ba56d",
    "books/woit-qtgr/2025-10-20/zh/chapter-22/index.md": "aa8060462814f958a471cd3b42788657dfda27c21609e53d81e2ab7ed6e58a7f",
    "books/woit-qtgr/2025-10-20/zh/chapter-23/01-coherent-states-and-the-heisenberg-group-action.md": "a3b8d1c368bd562e3bba7d2d625ba8296393cf794648ef19a5cbaf6be9b1dd11",
    "books/woit-qtgr/2025-10-20/zh/chapter-23/02-coherent-states-and-the-bargmann-fock-state-space.md": "42a03baf1fe26dec18a617aaf91378348a8703cdae22e1f9b0d9742aaea0f85c",
    "books/woit-qtgr/2025-10-20/zh/chapter-23/03-the-heisenberg-group-action-on-operators.md": "3efeb4a2e55c53bc581969400624afb4905a5a6ecb2b4cdc88bf957b49f9fb9a",
    "books/woit-qtgr/2025-10-20/zh/chapter-23/04-the-harmonic-oscillator-propagator.md": "ec3f90ab0a8c7e550aee1fdb0d3d32deb03ab775b1bced5c8a92859d8f7f2b6e",
    "books/woit-qtgr/2025-10-20/zh/chapter-23/08-the-bargmann-transform.md": "f3450e23a95b982877249fa5cf409b7bf48a117697676cde208bd0c3a436bed3",
    "books/woit-qtgr/2025-10-20/zh/chapter-23/09-for-further-reading.md": "5da2a0f20e4bc5c1063d9064421db94baf16ebb8a635701216f76d14a0091fd9",
    "books/woit-qtgr/2025-10-20/zh/chapter-23/index.md": "c08b1edc9c480e1cdb94425fc794691fa0c2d1d214b1735e444a905d5644534a",
    "books/woit-qtgr/2025-10-20/zh/chapter-24/01-the-metaplectic-representation-for-d-1-in-terms-of-a-and-a.md": "201b229c6ae2284c38f424b48d51815a23514f7db2152a15fb3a605c18f962e8",
    "books/woit-qtgr/2025-10-20/zh/chapter-24/02-intertwining-operators-in-terms-of-a-and-a.md": "25e1497336e8c64c51e586c3c49419d120232e57f1480efef0fc3d084408c3b4",
    "books/woit-qtgr/2025-10-20/zh/chapter-24/03-implications-of-the-choice-of-z-z.md": "a26654ee9a190d58a03971abdb42a96426761cce204ce7b547decc0719a35ddf",
    "books/woit-qtgr/2025-10-20/zh/chapter-24/04-su-1-1-and-bogoliubov-transformations.md": "0641e884bddf7788a959adeb380bbe5efd0e64d8f33f59ae600b2a29b0d7ba51",
    "books/woit-qtgr/2025-10-20/zh/chapter-24/05-for-further-reading.md": "8994cc6f4e1a82efd49d92b7663020a90f6e6f871a8d79a90f3503cb9b7e483a",
    "books/woit-qtgr/2025-10-20/zh/chapter-24/index.md": "3d69a203abcb9a9cdf245304e7c0272e08ecd9848b101811691e7d891c0f5f36",
    "books/woit-qtgr/2025-10-20/zh/chapter-25/01-multiple-degrees-of-freedom.md": "6e06a28bbcd3984333c030125959f1166cd8b8be53e90dff14cd88212789f4f4",
    "books/woit-qtgr/2025-10-20/zh/chapter-25/02-complex-coordinates-on-phase-space-and-u-d-sp-2d-r.md": "8042323932305c3d4b7e70ec55f92918ae8ee0735f34428b3e6b25a9dcdb7033",
    "books/woit-qtgr/2025-10-20/zh/chapter-25/03-the-metaplectic-representation-and-u-d-sp-2d-r.md": "7b5431388a644a235ec79741120375af2b5cd12628dbcec77ef70f35686bb179",
    "books/woit-qtgr/2025-10-20/zh/chapter-25/04-examples-in-d-2-and-3.md": "fde0eda8fcbb75fe7ab83d9b5b198d9b490d8a5c6cff10e56002be8f84b78829",
    "books/woit-qtgr/2025-10-20/zh/chapter-25/07-normal-ordering-and-the-anomaly-in-finite-dimensions.md": "78ad62caa1fc8b74672b7c08b1e8e56f54bb707db4ac5c89e145ab585c8bcb1b",
    "books/woit-qtgr/2025-10-20/zh/chapter-25/08-for-further-reading.md": "cd1ecc23e8a9dd1cadf25ebbc5578a63d8c1172139937af3d9c47c194ffdd46f",
    "books/woit-qtgr/2025-10-20/zh/chapter-25/index.md": "91f39772e5e3c858c5ace0e20ab58d838e6a1cb7c455bdd074ffea132432c699",
    "books/woit-qtgr/2025-10-20/zh/chapter-26/01-complex-structures-and-phase-space.md": "fa67bcf044e1ae28d407264338d01ba35e61e76b6dd80a47c6ccb564e466b727",
    "books/woit-qtgr/2025-10-20/zh/chapter-26/02-compatible-complex-structures-and-positivity.md": "11afe36da03c71252444411004d2dea959094bf383e961a6fd3aa3fa9f966f36",
    "books/woit-qtgr/2025-10-20/zh/chapter-26/03-complex-structures-and-quantization.md": "a716610407445822f8e96df34b75511423a72b2a1f5212c7e97d3d1dce7a7fb8",
    "books/woit-qtgr/2025-10-20/zh/chapter-26/04-complex-vector-spaces-with-hermitian-inner-product-as-phase-spaces.md": "c105c818146c511d369d53053c2e9a7b4978d0be1229893e2dec5019560cd595",
    "books/woit-qtgr/2025-10-20/zh/chapter-26/05-complex-structures-for-d-1-and-squeezed-states.md": "d0bb602cbbfaa84080dc9344a7e14edb1c5dca62bc2ec0ff5eb026c72852a835",
    "books/woit-qtgr/2025-10-20/zh/chapter-26/06-complex-structures-and-bargmann-fock-quantization-for-arbitrary-d.md": "c3a9cc96f7c6dbef555811a2ad5bd45eee8efdc63abedfe8145b6bf5225a5614",
    "books/woit-qtgr/2025-10-20/zh/chapter-26/07-for-further-reading.md": "c83bdd3e72fa72edfc935dabee0a4cc45b679192c1c180573f587f62ce9da8b7",
    "books/woit-qtgr/2025-10-20/zh/chapter-26/index.md": "bae3b5f47bcfe5b25c7b112420d2cba35137fe77eb3c573b5447d04e05efe213",
    "books/woit-qtgr/2025-10-20/zh/chapter-27/01-canonical-anticommutation-relations-and-the-fermionic-oscillator.md": "668e3b664eec818c61a59bce2c14a59e472f46d0f5e3cec57bf4decfef0f3ef8",
    "books/woit-qtgr/2025-10-20/zh/chapter-27/02-multiple-degrees-of-freedom.md": "3a7418ab1948536a9823eda8e9fc169e5e13755fbc5cb74d3891002527374144",
    "books/woit-qtgr/2025-10-20/zh/chapter-27/03-for-further-reading.md": "a5e733bc3d800de3c731c769ef2e9764cd1e503ab0259e5b9b45bbf2db3bc7d7",
    "books/woit-qtgr/2025-10-20/zh/chapter-27/index.md": "af2219cea84b8a8e60eccb39fa8ee423b697fe8671d2031daf1aa2de691ac48c",
    "books/woit-qtgr/2025-10-20/zh/chapter-28/01-the-complex-weyl-and-cliford-algebras.md": "d2a329a1c341b3d909aed292f756d80691f87ff3253e09de676b6b167a5fefb8",
    "books/woit-qtgr/2025-10-20/zh/chapter-28/05-real-cliford-algebras.md": "0dc0c1bd23025c774c4a68979991f28351ea92df3276584446b85a848929b601",
    "books/woit-qtgr/2025-10-20/zh/chapter-28/06-for-further-reading.md": "051eef2cfb09eb285509782f0d3beba68e8a85132b3b74ca9364a9c883f0fde8",
    "books/woit-qtgr/2025-10-20/zh/chapter-28/index.md": "1c9892dd20732d128c9c2fc37710c322b02f5d45d1072162c2fd4367f8207ce3",
    "books/woit-qtgr/2025-10-20/zh/chapter-29/01-non-degenerate-bilinear-forms.md": "4ca3239fef145996649ce0b1d6badc30b0a358e792b809924ce04030c802c8db",
    "books/woit-qtgr/2025-10-20/zh/chapter-29/02-cliford-algebras-and-geometry.md": "ed4796086da35969c2b515beee623bc0e11b40ba7b7008e2a2a0a7060912d0f9",
    "books/woit-qtgr/2025-10-20/zh/chapter-29/05-for-further-reading.md": "6a54f84828a7522f48f1ec6c2278a347305e3dda8383e0f6f73705f41ad27035",
    "books/woit-qtgr/2025-10-20/zh/chapter-29/index.md": "c592786ef10ff033056f0600883607f2ca203443d5428014fcf2a4c66bd4d9db",
    "books/woit-qtgr/2025-10-20/zh/chapter-30/01-the-grassmann-algebra-of-polynomials-on-anticommuting-generators.md": "4a1079350069bab75a696253558e58679b40e35740fe65e8ee7c3f6ea1446698",
    "books/woit-qtgr/2025-10-20/zh/chapter-30/02-pseudo-classical-mechanics-and-the-fermionic-poisson-bracket.md": "a48188b3c880cb3cdd0d6c3ef4904bbe64ddb27a96760877b32a6b652a0f69cc",
    "books/woit-qtgr/2025-10-20/zh/chapter-30/03-examples-of-pseudo-classical-mechanics.md": "1fe3d12050f75b49f1e57e5481f574391ef686535da65be9090a65c2a14db3f1",
    "books/woit-qtgr/2025-10-20/zh/chapter-30/06-for-further-reading.md": "05332caf11b6646fae2670687f7fb3d171206bbab9705685d5274509b2b4f676",
    "books/woit-qtgr/2025-10-20/zh/chapter-30/index.md": "b7c33a84abf23adef6cd811a4a554bab1c96ac6a595cb276a9ef58921679a9ab",
    "books/woit-qtgr/2025-10-20/zh/chapter-31/01-quantization-of-pseudo-classical-systems.md": "90bac7a9d80e6e5cb33a6290a0d90908321c84b22117df85bc505aac74ac3af0",
    "books/woit-qtgr/2025-10-20/zh/chapter-31/03-the-schr-odinger-representation-for-fermions-ghosts.md": "888b2be783d78c7fa431573aec0ca2c8b49cf66fdcee0654589a3c44c1dd82de",
    "books/woit-qtgr/2025-10-20/zh/chapter-31/04-spinors-and-the-bargmann-fock-construction.md": "8ee5a6e2f5207bfb3627c5b8de45de2af37ceeec1dfb290aac03caac7de9aab1",
    "books/woit-qtgr/2025-10-20/zh/chapter-31/05-complex-structures-u-d-so-2-d-and-the-spinor-representation.md": "21a0f3f14addfef81210a79e375d07108997127504cc21e4583b15df824bce67",
    "books/woit-qtgr/2025-10-20/zh/chapter-31/06-an-example-spinors-for-so-4.md": "ae2462536e2eacf3febb60eed580fbe2c61899743dde2d8575e8aaa4a9539a0a",
    "books/woit-qtgr/2025-10-20/zh/chapter-31/07-for-further-reading.md": "ddd0a8b8fb130d14d99c869fca6c23ecd6f588bd8f5c6b12dfd731ace835ec1a",
    "books/woit-qtgr/2025-10-20/zh/chapter-31/index.md": "b27df801b1f26e40790cb12857e6e063b260eb127b9913101f2d0ade9c2a6828",
    "books/woit-qtgr/2025-10-20/zh/chapter-32/index.md": "0d06f91cc3d120333950968ebf19f8c97275db2cacbbb8a4de54cdc403d91ab2",
    "books/woit-qtgr/2025-10-20/zh/chapter-33/01-the-supersymmetric-oscillator.md": "1fce17478b89ea830350ef2acfd8766ed6eea5940dd9fa60579b411e975f7e4a",
    "books/woit-qtgr/2025-10-20/zh/chapter-33/02-supersymmetric-quantum-mechanics-with-a-superpotential.md": "a4f6096374373242e2b04e98cfadb9a2424fc549329abd2691b4b6d59fb0c66e",
    "books/woit-qtgr/2025-10-20/zh/chapter-33/03-supersymmetric-quantum-mechanics-and-diferential-forms.md": "d2db4e8eeeedf2be314f069d7d5856b6da37ac21f50b9b512b5a275505aeaa9d",
    "books/woit-qtgr/2025-10-20/zh/chapter-33/04-for-further-reading.md": "27a80fb997b182f1d6b656b4266c5248c7bb15fd18581f72329cc3c7ca78beef",
    "books/woit-qtgr/2025-10-20/zh/chapter-33/index.md": "92a430fb1fee176aa3b535069f0cc44a28b1211bd1b541a1334c7a5275b58b4c",
    "books/woit-qtgr/2025-10-20/zh/chapter-34/01-the-pauli-schr-odinger-equation-and-free-spin-1-2-particles-in-d-3.md": "9421517218509eea200236bf816e7bb154ac5baca357e48c5d1eca824d77f24d",
    "books/woit-qtgr/2025-10-20/zh/chapter-34/02-solutions-of-the-pauli-equation-and-representations-of-e-3.md": "51c84ef4d687582caaee30ac53760495d25bbbc1c467116fe66646c749fa30e1",
    "books/woit-qtgr/2025-10-20/zh/chapter-34/03-the-e-3-invariant-inner-product.md": "2631da0cf543f0efaad8a95613c20973fd66482c59066b2c792a215aad541dfa",
    "books/woit-qtgr/2025-10-20/zh/chapter-34/04-the-dirac-operator.md": "67fe304987347713d977a1e18cf256d9e156d72e3a0b60d5979d7ed7f36fd71d",
    "books/woit-qtgr/2025-10-20/zh/chapter-34/05-for-further-reading.md": "538121d84ef7b0f90b0700169c8f9b933dd1438fb6c04b614732b81c3b5a9330",
    "books/woit-qtgr/2025-10-20/zh/chapter-34/index.md": "36cbc83433142965fc7ed0b4dc2c8700184f36f3f4dd9b9c4bcbc9c64ea37891",
    "books/woit-qtgr/2025-10-20/zh/chapter-35/01-lagrangian-mechanics.md": "48e2b265db4401373b870b6f5b8ebf70c3e2bf2b83317cf43c97995540fe4a7c",
    "books/woit-qtgr/2025-10-20/zh/chapter-35/02-noether-s-theorem-and-symmetries-in-the-lagrangian-formalism.md": "fa8aeeefad8b2c732b5321bbb4b9cd65ed56a23a746984a59a77e6c3b6892e15",
    "books/woit-qtgr/2025-10-20/zh/chapter-35/03-quantization-and-path-integrals.md": "c20845fbbd9a4da88711f6c72719b5b0d5a50c91e0038cd383c78d66f47dc88a",
    "books/woit-qtgr/2025-10-20/zh/chapter-35/04-advantages-and-disadvantages-of-the-path-integral.md": "26e722e7577c372c2aa13e9bdbe12937e13d920d6a886d9a3161bbcc934e2d7a",
    "books/woit-qtgr/2025-10-20/zh/chapter-35/05-for-further-reading.md": "bf8211138677248bff76fa3f1189f115930b6fa0baaa31c41f1364c7fcc8ecd1",
    "books/woit-qtgr/2025-10-20/zh/chapter-35/index.md": "c3cdccf6689fa60a2daada3db300d0798b944d8d3148cf8f4a4254a785964079",
    "books/woit-qtgr/2025-10-20/zh/chapter-36/01-multi-particle-quantum-systems-as-quanta-of-a-harmonic-oscillator.md": "8c52a6767e57bacc208e4635f9dfb6e3600669f2758ceae75c54f05329374124",
    "books/woit-qtgr/2025-10-20/zh/chapter-36/04-multi-particle-quantum-systems-of-free-particles-finite-cutof-formalism.md": "91e465605fc39534ef2223630f06e774ff31af3a941cdff58cf9e7d2f4c14b8c",
    "books/woit-qtgr/2025-10-20/zh/chapter-36/05-continuum-formalism.md": "4f44438bb7a0dd7d42b07f38f4025e960c3a881fccf1a703878f14e6d03cbc75",
    "books/woit-qtgr/2025-10-20/zh/chapter-36/06-multi-particle-wavefunctions.md": "810c29ccf0c594d4d81769fedead7fe422752ca947fc4c316182b2201bb819d4",
    "books/woit-qtgr/2025-10-20/zh/chapter-36/07-dynamics.md": "68e6b17305a480795bf3d6dfeac06e0a7c1e49760de0c0704eb37da9c9a129a8",
    "books/woit-qtgr/2025-10-20/zh/chapter-36/08-for-further-reading.md": "03eea8985950c75e46d888bf933d2760c286f1736d951853162507b52b0ffdaa",
    "books/woit-qtgr/2025-10-20/zh/chapter-36/index.md": "63a17625a96deefa5f624cdee4f1ffa628a4b4491a8e4449f13e0c0a469f2f7b",
    "books/woit-qtgr/2025-10-20/zh/chapter-37/01-quantum-field-operators.md": "42c9f8a14cbdd8d1b3386d31ad2658dc7762849269aae6d98dc1ed8d6e3df405",
    "books/woit-qtgr/2025-10-20/zh/chapter-37/02-quadratic-operators-and-dynamics.md": "b389d68cf057940ab90c857cbf61929ff1233fd039128fe1f0070bdbfe3bdfc8",
    "books/woit-qtgr/2025-10-20/zh/chapter-37/03-the-propagator-in-non-relativistic-quantum-field-theory.md": "424a6677c29468e8f0cb37510b1ebfac14b3001f6ae450893002ab7c8061d6b6",
    "books/woit-qtgr/2025-10-20/zh/chapter-37/04-interacting-quantum-fields.md": "ce0536022dcc7803212a0099c41b7f58a86fd7de2b2de74e2164f54a935b51ba",
    "books/woit-qtgr/2025-10-20/zh/chapter-37/05-fermion-fields.md": "8a53cdf19d13fcad1a8f2485edb23a09ef4f98a7d3a30d21a3a502747263dd22",
    "books/woit-qtgr/2025-10-20/zh/chapter-37/06-for-further-reading.md": "06883c0c1c66d39d2bfb828a478a705c862cd90f089f99ce06c9b325931b4834",
    "books/woit-qtgr/2025-10-20/zh/chapter-37/index.md": "9e36271d38781905adbe5c32a926e614435bded13737bec7419425e0a72ac663",
    "books/woit-qtgr/2025-10-20/zh/chapter-38/01-unitary-transformations-on-h1.md": "ceba233e53f1e8f335b9ed34883bad1c6e92f27a64c7457adca0e09c9f0128b9",
    "books/woit-qtgr/2025-10-20/zh/chapter-38/02-internal-symmetries.md": "b163c96acce411346f8bfafe88d9249efc000d92b5c82212978d492ed3e2959c",
    "books/woit-qtgr/2025-10-20/zh/chapter-38/05-spatial-symmetries.md": "09a614d24aa30af18566292fca84993865e67d8b9732508ac16f96a4b03abed1",
    "books/woit-qtgr/2025-10-20/zh/chapter-38/09-fermionic-fields.md": "ccc153c17617030fdf4b491555aa82c4fdccb06d3c1b0cd0310ef85611ee19e6",
    "books/woit-qtgr/2025-10-20/zh/chapter-38/10-for-further-reading.md": "3ba4e21b558e8f71428d26150c6d3be73798d3293436f9281cc9c5927a96a6c2",
    "books/woit-qtgr/2025-10-20/zh/chapter-38/index.md": "a00e0df91fe0fc91dc46275485a663118979d89379984ffc86ff4ef0bdecc9ba",
    "books/woit-qtgr/2025-10-20/zh/chapter-39/01-inequivalent-irreducible-representations.md": "4b4218fba3ce8a1e51c56428d4ad143fa1f799ca01ccf1a0b6a916647e8752ac",
    "books/woit-qtgr/2025-10-20/zh/chapter-39/02-the-restricted-symplectic-group.md": "1d2571c3869e4967537b54f021e61881d756d0fb4c985406e6d25a1c414ffce2",
    "books/woit-qtgr/2025-10-20/zh/chapter-39/03-the-anomaly-and-the-schwinger-term.md": "8f7665700b0b3b987a68af0bce8a88f5c1a3cc9c05a9036419f32e7b7e78bc04",
    "books/woit-qtgr/2025-10-20/zh/chapter-39/04-spontaneous-symmetry-breaking.md": "7e850ad67d56f518cfcaff5307b2ebac542ae009c0fdbe493ad48700c78788f4",
    "books/woit-qtgr/2025-10-20/zh/chapter-39/05-higher-order-operators-and-renormalization.md": "471d490cefb435672e72a38707caef4a2a00606413e3623d764393444b050823",
    "books/woit-qtgr/2025-10-20/zh/chapter-39/06-for-further-reading.md": "6189e4a56476284b64fa2d298d02a1f2ef43f9d1ce2ba72d93c00e758691759c",
    "books/woit-qtgr/2025-10-20/zh/chapter-39/index.md": "2a1037c2e6309b97ee8516af1bb6c1ee5536792faeb65f53bce5fc3ed32c785a",
    "books/woit-qtgr/2025-10-20/zh/chapter-40/01-minkowski-space.md": "2a37013ea3e21a0abc3ec93a5a32dfcb01bccdda472b8ba743698af3b1cd3960",
    "books/woit-qtgr/2025-10-20/zh/chapter-40/02-the-lorentz-group-and-its-lie-algebra.md": "be3430fdc165c9fd9969b74d09ce64c2c754da3efd87e37a42731471dceaf0ba",
    "books/woit-qtgr/2025-10-20/zh/chapter-40/03-the-fourier-transform-in-minkowski-space.md": "3fdc72f3bc6e8efbd721d9f2b9685072642ec27c5c72ada228a6fa4d8803c5be",
    "books/woit-qtgr/2025-10-20/zh/chapter-40/04-spin-and-the-lorentz-group.md": "4658e50cb9d0c2cfbe39bcc90b8db2a81ad96946590aed20f44e4f3ab7781984",
    "books/woit-qtgr/2025-10-20/zh/chapter-40/05-for-further-reading.md": "0a0b9955752db59a3d3d7584d28b3465ea506227121c95b7ffe3b3a88fe0574b",
    "books/woit-qtgr/2025-10-20/zh/chapter-40/index.md": "4c0ce40dfa5c54a0a661197cafe66ad2609c255e85c2c0f4c7b7fc34b8ba23db",
    "books/woit-qtgr/2025-10-20/zh/chapter-41/01-representations-of-the-lorentz-group.md": "69c62b18e91bf4451d7900af6e9a375dcfe0807f385de16bca4d1d8e15b379f4",
    "books/woit-qtgr/2025-10-20/zh/chapter-41/02-dirac-gamma-matrices-and-clif-3-1.md": "a2aa2d2dca4909ced9d7b07a341858dc36e5eec64e5a5867777868886660dee5",
    "books/woit-qtgr/2025-10-20/zh/chapter-41/03-for-further-reading.md": "113f00d35150d90c5edc64e8abf66075819948d24597c6236bd71661e516db55",
    "books/woit-qtgr/2025-10-20/zh/chapter-41/index.md": "cfae67b5d7cc220462d1a26f72958db115756566c54f755020253ef197a43bc3",
    "books/woit-qtgr/2025-10-20/zh/chapter-42/01-the-poincar-e-group-and-its-lie-algebra.md": "343bddc79a1cd42452ae4be083c1234f37a44d895a21a423dd8d2fc3139fc67a",
    "books/woit-qtgr/2025-10-20/zh/chapter-42/02-irreducible-representations-of-the-poincar-e-group.md": "470073efde1cab6ce935aedcb64078c22d51608552b05899dac9553d9846ac3b",
    "books/woit-qtgr/2025-10-20/zh/chapter-42/03-classification-of-representations-by-orbits.md": "fae92e46c4c533ad5206c5fbce84c33e39ec09057ac43f7871ebf31da11c604c",
    "books/woit-qtgr/2025-10-20/zh/chapter-42/10-for-further-reading.md": "cb6f889a0ee30db3086b33f26b3e940d38cf9a64f116462e7f1a4327119b4abb",
    "books/woit-qtgr/2025-10-20/zh/chapter-42/index.md": "e4a24d7980bd1a3e7ee980d400196ee8ca8c608bedce706f4a78087e13a13a00",
    "books/woit-qtgr/2025-10-20/zh/chapter-43/01-the-klein-gordon-equation-and-its-solutions.md": "e84fed0a679a3ab83f2715f4f85d1056c5b34e27f06073132c42159df636520e",
    "books/woit-qtgr/2025-10-20/zh/chapter-43/02-the-symplectic-and-complex-structures-on-m.md": "9173982298ff1f39432f486f3650090bd303d8c6c4384f2b39e28d58069776ce",
    "books/woit-qtgr/2025-10-20/zh/chapter-43/03-hamiltonian-and-dynamics-of-the-klein-gordon-theory.md": "f4fc503b07795dac442941dca872231bf13a542a90618eabe8ef20a5e35398c6",
    "books/woit-qtgr/2025-10-20/zh/chapter-43/04-quantization-of-the-klein-gordon-theory.md": "2ce3692d40cb8e663dd96d1a1d1fe2a58bcaf18b6ec424448ff3a56e934bfd44",
    "books/woit-qtgr/2025-10-20/zh/chapter-43/05-the-scalar-field-propagator.md": "a62b86224724f6c65f153419c882dd1f19d4aaaf23b91db01946f8517b8a3c1d",
    "books/woit-qtgr/2025-10-20/zh/chapter-43/06-interacting-scalar-field-theories-some-comments.md": "ef0093bd1ba841b13a2d2bf44c605ae4d131b44882769fc3f6687260cd1b108d",
    "books/woit-qtgr/2025-10-20/zh/chapter-43/07-for-further-reading.md": "f7dc33d8ab5092e48a8eb42b4bfbaf119d41bde669d69bab1640929c43a965a1",
    "books/woit-qtgr/2025-10-20/zh/chapter-43/index.md": "b2fec7a7a4d7d12d499a3e01f8dde5ccf349f5dd769e713f5b78bf6c7b98e1fd",
    "books/woit-qtgr/2025-10-20/zh/chapter-44/01-internal-symmetries.md": "05279c436c6074a0774764c15b1d2700434cd70abd21d435cd624c8502ac860f",
    "books/woit-qtgr/2025-10-20/zh/chapter-44/04-poincar-e-symmetry-and-scalar-fields.md": "91b083cb1b80f0a46554c0620f23067116e49e2eec19e4033e3b740fb12c6cc7",
    "books/woit-qtgr/2025-10-20/zh/chapter-44/08-for-further-reading.md": "24373f7282b5009ac7e8053a4cf04af3ad2b8108f7d6685cf1337869bd0dd3d7",
    "books/woit-qtgr/2025-10-20/zh/chapter-44/index.md": "15db9756789f9a0c5f74dbc196d7deeab46f3750e2d3bf7ffc627616c40ac812",
    "books/woit-qtgr/2025-10-20/zh/chapter-45/01-u-1-gauge-symmetry.md": "e76063abd34928456edd1214b6a1b939b5a221a6a8c3ed8067b71c6737e9e533",
    "books/woit-qtgr/2025-10-20/zh/chapter-45/02-curvature-electric-and-magnetic-fields.md": "727c64098e5125b0b051ef23f9717bf7c1f70ed4a4e04cbae9c92e8f77ad1d7f",
    "books/woit-qtgr/2025-10-20/zh/chapter-45/03-field-equations-with-background-electromagnetic-fields.md": "0bb62eba70e3f3df2637ec49639665defbe71320396f6c99dc91ed665fbb499a",
    "books/woit-qtgr/2025-10-20/zh/chapter-45/04-the-geometric-significance-of-the-connection.md": "40f788c51c5f0d6a5a00a3156fb39cd8d06be9623b921f4ed31713ae718b3908",
    "books/woit-qtgr/2025-10-20/zh/chapter-45/05-the-non-abelian-case.md": "4d06601cfca2825f1da90fb86f45ed25c6d38e3088f04694fa682f1a8e9597fb",
    "books/woit-qtgr/2025-10-20/zh/chapter-45/06-for-further-reading.md": "010289ec78899658f1703f3d0161c4e36941978a0a834d5ddfeb9b74917cf488",
    "books/woit-qtgr/2025-10-20/zh/chapter-45/index.md": "468205c326ca5d3e3550654307bb6933465e88a5246956f0f39d8535d93a3e01",
    "books/woit-qtgr/2025-10-20/zh/chapter-46/01-maxwell-s-equations.md": "4d19611f3269fc31f6ad1de70b5f9dc306395ffc723925868315a8b0b58465e9",
    "books/woit-qtgr/2025-10-20/zh/chapter-46/02-the-hamiltonian-formalism-for-electromagnetic-fields.md": "84d4c09bfe978e1df0ef43d94b9a9847125f2a2d146a743305caccfddad23413",
    "books/woit-qtgr/2025-10-20/zh/chapter-46/03-gauss-s-law-and-time-independent-gauge-transformations.md": "3e8a82e4a976c1da481a3ae712b9078c7a536341ad25d19fae38b8facd5d113a",
    "books/woit-qtgr/2025-10-20/zh/chapter-46/04-quantization-in-coulomb-gauge.md": "35b78cc8149e68604e7721ccdf43010665691df9e55cfdc95c634d473b2d821e",
    "books/woit-qtgr/2025-10-20/zh/chapter-46/05-space-time-symmetries.md": "7ce0254e53629b1fad9a69cd0e85adef0b6d1811f8dfb8142ed12807bacc98d1",
    "books/woit-qtgr/2025-10-20/zh/chapter-46/09-covariant-gauge-quantization.md": "c5c2e7610eac8795c1b12ae7bd688ffa108ec99e19812f23b0f76282cfe2fec3",
    "books/woit-qtgr/2025-10-20/zh/chapter-46/10-for-further-reading.md": "f20bda9d5c2356007264a738735033c7cd1ab129aab8478eb89f36af4ad428a9",
    "books/woit-qtgr/2025-10-20/zh/chapter-46/index.md": "82ba8e2ba5a3a17271965c8e6b047544155bccacfacf9f2f6cdd496e90c40c7d",
    "books/woit-qtgr/2025-10-20/zh/chapter-47/01-the-dirac-equation-in-minkowski-space.md": "c29c9df1eda38bac4811da78bccc5b9238547a330f769e53bc684569b4dbe000",
    "books/woit-qtgr/2025-10-20/zh/chapter-47/02-majorana-spinors-and-the-majorana-field.md": "bde53867ea86fea1a95dec1862ffae6a442c8d1ae05be8de216cd61e539a1852",
    "books/woit-qtgr/2025-10-20/zh/chapter-47/05-weyl-spinors.md": "61623485e590044c68f16676179ee9ada36dde655087def4a5c579ade8bc70bb",
    "books/woit-qtgr/2025-10-20/zh/chapter-47/06-dirac-spinors.md": "65fa8254d5b497e37f939086d9bc6fef0fdcc686c4ab7d9fee3f826c9661ba15",
    "books/woit-qtgr/2025-10-20/zh/chapter-47/07-for-further-reading.md": "a76c8ca22923336fddec2967d63adf026f984c685cd9533c37b3e5db20bae52d",
    "books/woit-qtgr/2025-10-20/zh/chapter-47/index.md": "e5bbdc24552377d6c6ab7fc3c65b5c9dc7657304cc79f3df0f83ae8a544e820f",
    "books/woit-qtgr/2025-10-20/zh/chapter-48/01-non-abelian-gauge-fields.md": "92098159542c498c29cccb40f003bdaa676ac81798496e2ead7034edc963412e",
    "books/woit-qtgr/2025-10-20/zh/chapter-48/02-fundamental-fermions.md": "3ec2036459f2d949b191b8efea32c0fe4ace5a786e5246df855d802a81f51308",
    "books/woit-qtgr/2025-10-20/zh/chapter-48/03-spontaneous-symmetry-breaking.md": "8e32cd3e6fb41966376cd0d97b87d492e710469c4e997021ed145fe71ac09fbe",
    "books/woit-qtgr/2025-10-20/zh/chapter-48/04-unanswered-questions-and-speculative-extensions.md": "1c2543d1ec7adc26427d90abcd65b33c0434580b82f2a98aaa1bf26dff59a811",
    "books/woit-qtgr/2025-10-20/zh/chapter-48/11-for-further-reading.md": "38166099cd0c24ebcddfba31d2de319f9e12384f0d9199d3f9b620edbae6ffb5",
    "books/woit-qtgr/2025-10-20/zh/chapter-48/index.md": "dc047cdb55453703f56f4594a8276d397ba5562137ff7be75b2237e9162811a9",
    "books/woit-qtgr/2025-10-20/zh/chapter-49/01-connecting-quantum-theories-to-experimental-results.md": "6ce827339bdac61450501084deb42dc593e9bd67f2c34789552d9f22204fdd6c",
    "books/woit-qtgr/2025-10-20/zh/chapter-49/02-other-important-mathematical-physics-topics.md": "b61c597c9a3f56b3559387759ecbfb56ed006b9ffc75ec159cfdc2b3eccd4178",
    "books/woit-qtgr/2025-10-20/zh/chapter-49/index.md": "044260e9291849d4f24fb649136d6f30c840c9fcfd936f0107204a14343cd491",
    "en/chapter-01/01-sets-and-logic.md": "276880a314dd24601a6aab8fdb0865b2ff7274f2fc0ea6d071f9489bb3466ba7",
    "en/chapter-01/02-subsets-and-operations.md": "293aa92f872bee60a929a34d7f7f55d53bf040a20fcdaecdb2cedb7a8f45e1eb",
    "en/chapter-01/03-products-and-relations.md": "358d85a943ae2d10d79cb859ea0ea2899fbb70e87075fbe6da5a8f85abfab58e",
    "en/chapter-01/04-mappings.md": "913281a5dfb826c1fe0f03c45f8904f2e3b6535b73c39063c20203f0eed934dd",
    "en/chapter-01/05-infinite-sets.md": "27efee5adb2e2567a0fdd6715104753719073cb31112900b51f8cd48f8ff280d",
    "en/chapter-01/06-structures.md": "38ca6d69e37ce896a392953c2b5506a3a2ff2f75f0c1226a091714de05205fe4",
    "en/chapter-01/07-category-theory.md": "b8ade12e881f5f744d36a5790a44b801e681bea0e6e0b76da2ed946bac3a33f1",
    "en/chapter-01/index.md": "ae5fb313b9ef456a46d386b62528d4e8d049a3f40975203a4a065966dbfc67d0",
    "en/chapter-02/01-elements-of-group-theory.md": "18863719e8051eaaee70f796ee96bebd3d59a7e214a97596429c61c0c7cec029",
    "en/chapter-02/02-transformation-and-permutation-groups.md": "e22351abe669cf61faf7d32ba3c2776541bff5e1d1bea5e7c9272840286fb6bc",
    "en/chapter-02/03-matrix-groups.md": "d19a720e5e593aff642e000a47fb5b53c38e98127876da14832378f4dc2bf381",
    "en/chapter-02/04-homomorphisms-and-isomorphisms.md": "10f4a2702b4445e5695e5ed84f130cd016b0d197740c1ecf9af4a30b2f586f2f",
    "en/chapter-02/05-normal-subgroups-and-factor-groups.md": "191e5ffe797661d4803bff76ea0bc213b1dcc7deb24b6a955143f84053aa53ee",
    "en/chapter-02/06-group-actions.md": "f99b6c88499fc7e2df5c09f1366fa22fe6450f99d90c2c033c557e87e067d62b",
    "en/chapter-02/07-symmetry-groups.md": "177c3274fe73cc626d79b19622d544e805902b662b5417e4dae43c05314d1a62",
    "en/chapter-02/index.md": "405ff0c5359bd8008d496174593f0eab1acb0478a0bdbb5f795834e166e98440",
    "en/chapter-03/01-rings-and-fields.md": "ea6fcf3995832d711e0a1483841ce1dd40d938fc162f7dbf62189af4dd66c297",
    "en/chapter-03/02-vector-spaces.md": "573a64ad30e77908f6d19889ff0b3af024ff8c01f725c3fc8c1380014972de62",
    "en/chapter-03/03-vector-space-homomorphisms.md": "71dd175671863910ff2c6b77e9cd9166d665669c883c202259471bc585a3649e",
    "en/chapter-03/04-vector-subspaces-and-quotient-spaces.md": "121468f5432c75ef76cc92f12828f9c23bb3f7848a5901b4b8c563bcbf0b2003",
    "en/chapter-03/05-bases-of-a-vector-space.md": "9e5dd69dfb7cf977fd5c3c50b9fa903f7c5bafbe1509445dfc35c9e54ae6bab7",
    "en/chapter-03/06-summation-convention-and-transformation-of-bases.md": "0eb03f41e4cf20986be7214cf3cb46fdc6a8f1188392bd9bf9cef1556c6dc5ce",
    "en/chapter-03/07-dual-spaces.md": "9b79c0b9cc4dc1f2f1347f1734338374aa9538e0f34b405cc8e859bc804f4c45",
    "en/chapter-03/index.md": "596036d1f06ea5c74cc5ae3f1e0e2366e38ad84f99d9c211813467a26d012aab",
    "en/chapter-04/01-eigenspaces-and-characteristic-equations.md": "667bc087f8576a04bdd987ed49c3807039f714f004a033912f2eab07fa9819eb",
    "en/chapter-04/02-jordan-canonical-form.md": "fa3ccde066a449322426bcf52e76fa1ca405a78bac1ecff6c01b76efbe629ba6",
    "en/chapter-04/03-linear-ordinary-differential-equations.md": "d8ccf6d811563eeebfaadd060ab3688e9127c9bdf696947d592454c507f9af8d",
    "en/chapter-04/04-introduction-to-group-representation-theory.md": "9ba0357bc9fe2cf27435fc71decca231bb93b8a3a84cf95591397d0b6b814384",
    "en/chapter-04/index.md": "03b3bcdbcfe8da1709d978b98b42b616ae6446454889f62b3422cd32ee6ed937",
    "en/chapter-05/01-real-inner-product-spaces.md": "468c3cd8debdde609d01ed3d0c5b4ba8e0b32580c271b042cf7fbba0fc095d05",
    "en/chapter-05/02-complex-inner-product-spaces.md": "c6710ca54ea0de3d78370164543f39eebd289c4b4fdf4952c69aa17383aadd72",
    "en/chapter-05/03-representations-of-finite-groups.md": "0529f9dee5fad9cbb735ff98b84a9598b5bd622db97dce57c011311cffa475d6",
    "en/chapter-05/index.md": "2a790f8a88a4053fb2060a9d453c027fced5d30d516d3d3f76edc0b8e8cdbc48",
    "en/chapter-06/01-algebras-and-ideals.md": "2358bd7fdfb406dfc4a25849c3a46b00cea749852ae0264ca4ab53cc328ad69e",
    "en/chapter-06/02-complex-numbers-and-complex-structures.md": "217ba38664e37b0a5289bc0b639ada0b0059e26f3ae4d9288f83962db4b702ce",
    "en/chapter-06/03-quaternions-and-clifford-algebras.md": "cdcd79c511136b0ea534aa44839633fd1b78a9b0561c11f8e5a1c2073b5bfc9c",
    "en/chapter-06/04-grassmann-algebras.md": "d6ff3d1952b0a1a8362984090aee9f4003edaa40ea9a3d639daff8f5ab34f57f",
    "en/chapter-06/05-lie-algebras-and-lie-groups.md": "0c41f9583a4efa9fbdd777c6458b2ae3bc19756b6ad688f6ce8a74bf16814ed7",
    "en/chapter-06/index.md": "58e956f419aa44e1e73dc37850b6d9bdbcc011e9a866b32aa95d689bf4466cf4",
    "en/chapter-07/01-free-vector-spaces-and-tensor-spaces.md": "5975ff488ab3c30cf5496df825f7f213a867478d71c61476831ea0a9e7b76c64",
    "en/chapter-07/02-multilinear-maps-and-tensors.md": "40721e8f3f83073f4f97c691a9d2f801b5f414736ca94d691967c2992680ac85",
    "en/chapter-07/03-basis-representation-of-tensors.md": "19441a269ef9d2bb760a075f939505a17a733a91bf1b5e8bea10ab1d75088c9b",
    "en/chapter-07/04-operations-on-tensors.md": "cef32211705bd378e7fbf3612ba4e50aedfdca21a7ffe40fb9609a51ecb5fefd",
    "en/chapter-07/index.md": "f2e81b02e436135d35cacb5a3b0754b1944ea8b6f52abbec023bc31b5db4f433",
    "en/chapter-08/01-r-vectors-and-r-forms.md": "bffedc9497fe025d48b0a0a4235a1bfbb1d4f72310bdab5a195eb60dbb544e8e",
    "en/chapter-08/02-basis-representation-of-r-vectors.md": "78c933cb150e63db964f0f44f9dde28403cd7852a723ad2ba127a996c99d7e4b",
    "en/chapter-08/03-exterior-product.md": "2f11f5485cdd0333f252dbf2c62083b8b2e4142d7e96810e7b7f645db051856f",
    "en/chapter-08/04-interior-product.md": "8724b8eb9d5ac918e3ebc4a49ecc1686cbe2f7e2e78ff5a7034fb04bb523d699",
    "en/chapter-08/05-oriented-vector-spaces.md": "3cb063d69fe7f90481323cd6e3876a8ef23120a60d5822c2638ad62a1fbd914a",
    "en/chapter-08/06-the-hodge-dual.md": "cbe2eea55c48d493db23d7dc6921f75a2eaa8e650d9e0b5d685018b9d9c43751",
    "en/chapter-08/index.md": "a950c320e940a82d94feadff70e88071afa43d8f7fb269e68b1eec555ddcb4fa",
    "en/chapter-09/01-minkowski-space-time.md": "b647c6082f1b2c5bb003a60d7e95662ce3fd830c27aa58cf41ff201428331770",
    "en/chapter-09/02-relativistic-kinematics.md": "dbb5aeb0e2374588e44b4edcaf5b147bb36b5ae353b11e079f86b104c8ec0e58",
    "en/chapter-09/03-particle-dynamics.md": "05fd9a83917245e1bafea32436cdd88fcdf3ca841f1245b15c7db63db35103a5",
    "en/chapter-09/04-electrodynamics.md": "25d9fc37d9c1d1b7fd9fe923e3876dd6a9d2749e6514472feb48ea0d4d9ca03b",
    "en/chapter-09/05-conservation-laws-and-energy-stress-tensors.md": "499563e1cda62a90f6cd5e84d0df73d909584fbcd7cd3b8dcff38cc9b45566b4",
    "en/chapter-09/index.md": "985f23fd91cbc5a8b288f1675685fb0641b6f1f8724cd65fa904af3709660abf",
    "en/chapter-10/01-euclidean-topology.md": "39a011f040ee6a41988c3ac2d2959740b56da63138f691f6de18cee1a4a9ed71",
    "en/chapter-10/02-general-topological-spaces.md": "e6227d57262616be399a27f95242792c93cd9369ddcd923dfebb3ba034e7bc6e",
    "en/chapter-10/03-metric-spaces.md": "4667868be98816bd6bfdcd604f377689bf02cea00ed7f91d76f470ea3696ef81",
    "en/chapter-10/04-induced-topologies.md": "7d78658a9f3710c80ff565a88c495c50bafc4bf32b097dcacc7ada4e978e8736",
    "en/chapter-10/05-hausdorff-spaces.md": "01787b76d6a61fb37715d1570e08d9aca1c45314e676cc2798decbfdc0a833fe",
    "en/chapter-10/06-compact-spaces.md": "2c5424bd683c22b7e76425494bfd2dd500db5eedb5b02e4ae1fc3869c6452fba",
    "en/chapter-10/07-connected-spaces.md": "3d10c4285b6b5ee0e121050b5046a327c4c839d4283523c7e934c665f11ac2ff",
    "en/chapter-10/08-topological-groups.md": "bdf89e5b5a66c24d4e397e6a4462072c1d06631dd7ff1c014b9fef9f5682e900",
    "en/chapter-10/09-topological-vector-spaces.md": "c942a5d6a900ad3adf27b769bfa069a65e4bcb21908a50eadc76e58186fbe1fb",
    "en/chapter-10/index.md": "c080c50eb48d3c46f30e76a4c42bb9670600b5f22b5eea966e2da8901476ae83",
    "en/chapter-11/01-measurable-spaces-and-functions.md": "42430d1e30139d6755f3870c04693a327244ef40b8589ce18b26b1b134f4f0c2",
    "en/chapter-11/02-measure-spaces.md": "1290ddb143545307ce85d795fc76b913f026321a4bfa43e6f3308d00c8e7ceee",
    "en/chapter-11/03-lebesgue-integration.md": "b10b1ac3b768247d93cf10ab40a926dfa4a8d3902771e5fca99cf3d02e26bc63",
    "en/chapter-11/index.md": "057066f3c989911535393faf8cbb74b95668508e898eb472a1cbb3e2047e38a7",
    "en/chapter-12/01-test-functions-and-distributions.md": "f3e735553139480372510fd3398fe113f020d754c3dfe06f08867ad191f12f32",
    "en/chapter-12/02-operations-on-distributions.md": "12d76bc0c1adaf3507eaef120454da7e2bc00dbbd9ba53ae64b77ff7d8132237",
    "en/chapter-12/03-fourier-transforms.md": "91a36df991e14b6aeb19e04106c81bd6fd861563639d92d724fb707a36b18294",
    "en/chapter-12/04-green-s-functions.md": "63c1a143647b2517baed84e45f35c4a2c3e61104de697c8155c96f274fb18239",
    "en/chapter-12/index.md": "a32666262c161959f15aea80ee03c36b5f951f7667f8f630b962b765cfd71fba",
    "en/chapter-13/01-definitions-and-examples.md": "968f1c0d16644d86921119722c7a39446387235a239cb76b69485ab3d79eb071",
    "en/chapter-13/02-expansion-theorems.md": "3dbb5308b938bd923b727ef0043c3d4d7fabaad7a1e15ef399f165be13cf79be",
    "en/chapter-13/03-linear-functionals.md": "3e548b4b9485caf64e004faa2674fe6e264f5b639289e45227367c98d6d97ebf",
    "en/chapter-13/04-bounded-linear-operators.md": "eb0725f6ab7fc44fa4ee614b878f2ec644f55a6b84b31a4afac5555a1c5df299",
    "en/chapter-13/05-spectral-theory.md": "85b67b57fd8fe0498e0a2e66155b146620e114efa864bbdc8c5b413ea48383ed",
    "en/chapter-13/06-unbounded-operators.md": "c9f6aaaf4583a87d844433adf5551a93a8faeb812cbe88bab00cc9cdaa02d709",
    "en/chapter-13/index.md": "0c5f830d4c291ab5d1c39059e5f46c32a5ed2ea0e08898e70a14d0ae24d23100",
    "en/chapter-14/01-basic-concepts.md": "5ffc1a138ecca9c924f0557a73a687627be309ac35b887823d07e23731a53f3b",
    "en/chapter-14/02-quantum-dynamics.md": "2cba95871dceac25e41bd50705d63b9d8aa14ee8e7a614492deede1f0a3da625",
    "en/chapter-14/03-symmetry-transformations.md": "885f6b65616f6ba21a44d214be830aa08bddd11a84ea6bff81aef0b641e094d5",
    "en/chapter-14/04-quantum-statistical-mechanics.md": "ba43cf5dee9889f602696b294d4a92d810c6213ab1b34a296aa093e7c5767db1",
    "en/chapter-14/index.md": "95cda7058183c71464cdf36c61cb4e8601389b53e2dc61273fea586e0d638307",
    "en/chapter-15/01-differentiable-manifolds.md": "58a929d9614544dcb09f559c095b13f0f0ddf79dd34179c3ad56942fb79a9123",
    "en/chapter-15/02-differentiable-maps-and-curves.md": "9fad1c5dead4be4f96f28153017d603fa581fca7205fefd292bbfdd4f9b262d4",
    "en/chapter-15/03-tangent-cotangent-and-tensor-spaces.md": "8b0278d73f794378de0c8f3aa32c9c14db7ce60b01ab8b11faed63d6d00fda5f",
    "en/chapter-15/04-tangent-map-and-submanifolds.md": "ec56820ae3b6d30b42b25a1591ab154ca98bc32059d185bfa56a4ec310b55320",
    "en/chapter-15/05-commutators-flows-and-lie-derivatives.md": "b8c69f025d8d682aca940e9c3c2c1374cac6eaec1671872b5a7ec7b3301a1baa",
    "en/chapter-15/06-distributions-and-frobenius-theorem.md": "9dc392eaf382187323a5ca1c4e44f8254de3aca53722f1a557d9dcc93bf1b795",
    "en/chapter-15/index.md": "ab139030339d88b6e71e384337e90385bcf18a2d18f423a695e26dbb1b9f96a8",
    "en/chapter-16/01-differential-forms-and-exterior-derivative.md": "d4c614a8552b7dfb450aec5d6f226ef3ba36a5bafdb2b6df55bcc1d855e2b892",
    "en/chapter-16/02-properties-of-exterior-derivative.md": "52911a90f33781ff093ad2aeac54374f36150c8931ee5b928eadca106ec49a98",
    "en/chapter-16/03-frobenius-theorem-dual-form.md": "ec0904a49c35a99336fd665b2d0f0b3a671e5d9768c37f2a27deafb3c2ec7566",
    "en/chapter-16/04-thermodynamics.md": "9240a01d2a6f17071128730ac11f0ece82cb8c622db6a3fe2bc4ab3df0015dcd",
    "en/chapter-16/05-classical-mechanics.md": "6ba31cc0cea910b2bb1780c9e846e4e265229202d450afd615e6b7053ad533bb",
    "en/chapter-16/index.md": "78c390a050ca6a90689054fb512173f88aca7ea72f5368840683b80a5ce4c6fb",
    "en/chapter-17/01-partitions-of-unity.md": "7b9b5ac2d16a43bad55f3768f5df24ebc80a279e681dc057d54869725dff60c3",
    "en/chapter-17/02-integration-of-n-forms.md": "8562e2a5c5b54f793324385976206248e2ec40b5bc5b5879886fb2c474621212",
    "en/chapter-17/03-stokes-theorem.md": "89e328aa625ac31a097a870b7d570f879bf72c427e5a34ed8eac8460efde855a",
    "en/chapter-17/04-homology-and-cohomology.md": "bcdaffd9c93fa5d4dbb16ac427fef782512ff58c5d5472ea282c7769a2173a3d",
    "en/chapter-17/05-the-poincar-e-lemma.md": "67cb66dc8e220854a9014bbea5a18827c382bf43db95f113411988717ac8e403",
    "en/chapter-17/index.md": "37fb7617493e485939563b42bfe998630c951cc09df5000b1307a3186502ab31",
    "en/chapter-18/01-linear-connections-and-geodesics.md": "b8a46474ba83e7dc70967253a12a15e46f63625ec493fd434cf84f20e15aeba3",
    "en/chapter-18/02-covariant-derivative-of-tensor-fields.md": "2d19561c2a60e7cc4538c2ade5c3d33135234a443ac8dcd63bf93a6ec94cccc7",
    "en/chapter-18/03-curvature-and-torsion.md": "5b0fbfb73db5590651f09161547936a485fd2b9b2481b866e84a458ad27ae596",
    "en/chapter-18/04-pseudo-riemannian-manifolds.md": "abe4ca4f42fe5272187e66105b690e8b9f1e858c2725731a33be8d30fbcf1939",
    "en/chapter-18/05-equation-of-geodesic-deviation.md": "3a3f45097acf94975d74a1bb2d0686623644188d1f978b0d037ac18cf75cbfd6",
    "en/chapter-18/06-the-riemann-tensor-and-its-symmetries.md": "9171db7b774896dc6ff0a91ed54476b8f64f750650d4411f512c11fcd07e213c",
    "en/chapter-18/07-cartan-formalism.md": "3ce33e640fac4e7744a36c2be2709f2c65c559bfdda47a63d3bb70eafebcfd16",
    "en/chapter-18/08-general-relativity.md": "eb6f282708a711d5b63fd7ee3887bbc424155d5ad75af7a23a2e9c60de58e6dc",
    "en/chapter-18/09-cosmology.md": "cb8c3ec9e13727a60152ea092003c1d7fa346ef4e531890d3681d961533cb460",
    "en/chapter-18/10-variation-principles-in-space-time.md": "0ba07ad6e3a2b36c7b9f5a47a6adc347131b5c1a4d08dfaa06310e61aaf02546",
    "en/chapter-18/index.md": "9cc3f7f55e74e0fe59a80d2938142fe641487a65a1008768e04e0421bf99772f",
    "en/chapter-19/01-lie-groups.md": "c0f823b60790b444078d66039fc86ca9b9eccf24e68f331c8aecc4167236d4d7",
    "en/chapter-19/02-the-exponential-map.md": "2023cc129281e7cec539833fb2be307624bd5cdb8487aedcd515bd18662316a8",
    "en/chapter-19/03-lie-subgroups.md": "2f032245c9f12c9025411eb618055771e850f9b439b20768a9bd1a8a14520399",
    "en/chapter-19/04-lie-groups-of-transformations.md": "603b0bc152be28d1376b2bca520097bf4f5c5ce4dde74b2630d942384add1ab5",
    "en/chapter-19/05-groups-of-isometries.md": "983fece1481fcc8e725fd2dac69f7dc9dc885f90865e30d09b337bb7ac04652b",
    "en/chapter-19/index.md": "c5c8c104e5ff91fbfb695ebdb38048846f6e1ce930030bc032f0376c9fc1a3a8",
    "zh/chapter-01/01-sets-and-logic.md": "a5e931b602e555c1e0a6e2517175988061bcad277547cad40cab1e1bfd28192c",
    "zh/chapter-01/02-subsets-and-operations.md": "ffa31a651177862dc364a3d608fa9436b86f2c4fa94485dad723b5f756c4c207",
    "zh/chapter-01/03-products-and-relations.md": "45666ab5cdd247b9b5146e4f9df67d1578c145c21402219499435dac061d8141",
    "zh/chapter-01/04-mappings.md": "584fda344e534c6df3d98f8c4bf23c1a7c4695a49d55be41c192759946ba16fc",
    "zh/chapter-01/05-infinite-sets.md": "de98ef3b57633eb615044c4c10101bc445e6695597e0d0703fc5fd583f6a2664",
    "zh/chapter-01/06-structures.md": "be30bc85ef7f6b02f75f793402534ddc9fe4bb07f24d9a6d8c99d600124d0c88",
    "zh/chapter-01/07-category-theory.md": "56c2dd3f3e71f89aaead3a16539cfb98a60754d15641f88ae63524aeaed5ae07",
    "zh/chapter-01/index.md": "ae1b0191b1cce824918913b445c1540d29892ec2f944b186dbc89fb2f4b33761",
    "zh/chapter-02/01-elements-of-group-theory.md": "ad9d6c5a6bcd992ad92802c42b86c6bf56d20c316c26e232554fab59e18fbd9d",
    "zh/chapter-02/02-transformation-and-permutation-groups.md": "799abb1b61f01e9b2d7152841faf2f190564a4f0ab51672f131c33ec84fc0875",
    "zh/chapter-02/03-matrix-groups.md": "3dd2476e51de9c40a8d6ddb8f88871c179362c4e1209a1a91c0b6b3f4e535a63",
    "zh/chapter-02/04-homomorphisms-and-isomorphisms.md": "98fad8e4f5b9d4869e8d0771f963e80d4413869dd8391f0598d49aecc884e4d4",
    "zh/chapter-02/05-normal-subgroups-and-factor-groups.md": "fee321b0500c365016e4a1e97ab854a0117b68f310294f13cc853414839be4d8",
    "zh/chapter-02/06-group-actions.md": "ee9ed474b5901e55a5560c8c99524360191a82b2fa608d354831ac9d3ab11f00",
    "zh/chapter-02/07-symmetry-groups.md": "80730dd9fb6cd42337d2f8665cc400adfef7ba2c993cd710f3305adacb614bf2",
    "zh/chapter-02/index.md": "56f17fc445dd965010e128c1b2c59e8815ccdbbbea363d5f8f861e7a426acdce",
    "zh/chapter-03/01-rings-and-fields.md": "e45fecab51d11049987b1cd993cbcceb38e261c7f113a34cebc31a82bb2c8227",
    "zh/chapter-03/02-vector-spaces.md": "1e00ae3248097e4d2bb356a02e17922fe7af380b57adbcd90c0f36f39b590925",
    "zh/chapter-03/03-vector-space-homomorphisms.md": "72ae9374dfcfec9db3a41e363d652333b272a45d6cc7ee9f35002d24091fd8bd",
    "zh/chapter-03/04-vector-subspaces-and-quotient-spaces.md": "5e192a5ec5cd24526f23e59ffb55d3e65fc52c6d3cbbd879b5f4f4f324fab7a9",
    "zh/chapter-03/05-bases-of-a-vector-space.md": "73a03d012d3113658067c27fe67cd99b840137e1e1928bf1a57cb131fca6bc71",
    "zh/chapter-03/06-summation-convention-and-transformation-of-bases.md": "5328c9744390f79c3dbff128301ffba93736c239ca6649c68d6a3a9e86d2b83b",
    "zh/chapter-03/07-dual-spaces.md": "938dfcbbffde5cbdbd7e55327dc24b68109b332b4f17d94eeedfe4be90a42e74",
    "zh/chapter-03/index.md": "f394293fa806a5cb1826140554bc674e3cb6b8a4a13ad0ff7fd48440d2dd87f9",
    "zh/chapter-04/01-eigenspaces-and-characteristic-equations.md": "514384cf6693578d8563cf69e52e982af6896549d7df962809d1431d495e387a",
    "zh/chapter-04/02-jordan-canonical-form.md": "b9816951a31996d8ba615fe10e0da88236fb08080e7fcd03b8417e82debf2eb1",
    "zh/chapter-04/03-linear-ordinary-differential-equations.md": "dcec11912b46d745359982469b333d1d39dc3b5c08b1bce764df112d8c7d0201",
    "zh/chapter-04/04-introduction-to-group-representation-theory.md": "8659a22bf0394df6e0f0547cc91ed5a8dd18c3b22a3aa2463bbac9fbfc4f313c",
    "zh/chapter-04/index.md": "31d78d22ffca4d365683041925eb370e9a5ab77764ffbb39c3d43daf4da678f9",
    "zh/chapter-05/01-real-inner-product-spaces.md": "b0905ca500407f5be9e556fa6537e88d1d774fe93ee3047ac3c1ce4bc6352512",
    "zh/chapter-05/02-complex-inner-product-spaces.md": "130978731f44c1f1399a4088c5e4ff3a50730c13937bd888ca64abf512d0946a",
    "zh/chapter-05/03-representations-of-finite-groups.md": "c1ace986d20899b7bb52b23913e86be460fa619e9c1e0f88379fd5881ca1b6c0",
    "zh/chapter-05/index.md": "5273f2d689cca82827c89583fbcbdd75ceb2caf91c459d8c6bb53f1eae7b2e42",
    "zh/chapter-06/01-algebras-and-ideals.md": "b14007c90d889a528ad167bc399531861f998294a0ab6687318a2d3cdc0b7deb",
    "zh/chapter-06/02-complex-numbers-and-complex-structures.md": "f73a45789ab5c5b94bada50b10b7575b97ab50a7f6713e04b91d6862a0f75302",
    "zh/chapter-06/03-quaternions-and-clifford-algebras.md": "576f66d635cff4aa7f260396a55ab322c79487e370dd4763ae8af64c8d308bdb",
    "zh/chapter-06/04-grassmann-algebras.md": "32eeacc9d191d1731e166539ce97d97692e810e41c7d779ab660622f75a05e9f",
    "zh/chapter-06/05-lie-algebras-and-lie-groups.md": "46a8514fc1659203f37a413780dc7b144eb121d7587e2bdcd4e8f324bc97ab90",
    "zh/chapter-06/index.md": "eed6a6c7d2928ee8a4bce36e37611413977d5df0154601bffcaf35a8819bbb9b",
    "zh/chapter-07/01-free-vector-spaces-and-tensor-spaces.md": "724009ba3be50eb7848a22be25a944d8dcc36fc25a0a8a39f383d373f899b86b",
    "zh/chapter-07/02-multilinear-maps-and-tensors.md": "d4ec71fdf87fd3fc0add2e6bd217ee8e6ca96a929e9a58e94cc0ba3e89229d59",
    "zh/chapter-07/03-basis-representation-of-tensors.md": "7e2e87e1c4bae49558bc101a3cbf92c7d730a5190f2d651e6c2822ad3c5a6f80",
    "zh/chapter-07/04-operations-on-tensors.md": "862770a6c716ffa60ed4ea6371875d4bfe49c79f634340901e35978b1d5e24fe",
    "zh/chapter-07/index.md": "4b75d07f3d9971cb4eab3c8e14789b1894de52005e8debed06db125090cf05fe",
    "zh/chapter-08/01-r-vectors-and-r-forms.md": "79d2c2f006fe4beb029bb59a00cc711634c04f8465427f17d67c7d115b2b5f62",
    "zh/chapter-08/02-basis-representation-of-r-vectors.md": "4da43f378cbf53a8af0e8c2e95db4e403589d85d37fb82d5a1c37a60313e9ad9",
    "zh/chapter-08/03-exterior-product.md": "fbc24c37fc59e432d6b22bcfaf67b2112fbdfae32171ae39930e3ccebe641b2d",
    "zh/chapter-08/04-interior-product.md": "a0a657c00574de67ade4cea7a455ef2fbf5324b542586ad5e90b9429a17b1c4a",
    "zh/chapter-08/05-oriented-vector-spaces.md": "2527bf3e5cc47b1791642cfc4fb125098de6990765a21be26887e873669071e2",
    "zh/chapter-08/06-the-hodge-dual.md": "3da4c782d2fe3d2cf6470b674253aa5a51c89adb3337c1279c4d0645e548df52",
    "zh/chapter-08/index.md": "8e88dc35fedc545e4d2f9a77e7049cc54e7268f102696bd523367d28ca123d7a",
    "zh/chapter-09/01-minkowski-space-time.md": "397bba5c660b059cafdc5c78850167beea4d08f1ed95cfd47a34c8dfae3851a1",
    "zh/chapter-09/02-relativistic-kinematics.md": "94a75a3db9f8bd22a7e8e7a77b6e1973c8515acdf06a7e7cce700f534e47184f",
    "zh/chapter-09/03-particle-dynamics.md": "659c44e6535019ffafd25caafd5811889eb76f4f1c24b88de7150296dbf0fb0f",
    "zh/chapter-09/04-electrodynamics.md": "80f97950be40268118d5075fd518131bbc39cfa078c22922bd26aa9079613c7c",
    "zh/chapter-09/05-conservation-laws-and-energy-stress-tensors.md": "dab549c2a57c408159fa770ef9e1eaea62c2ccdb8dbb08f6b36ad2715472d884",
    "zh/chapter-09/index.md": "2a6462c747c68d7d88a34bee96d27cd8b5a0c3efe36d45240630d86cd2a4feca",
    "zh/chapter-10/01-euclidean-topology.md": "80e9efe70e485a81457106147eca1e03846a6ec74f15dc9fa5f6993cef90e7ff",
    "zh/chapter-10/02-general-topological-spaces.md": "a1c67f92b8f8c8fbb6719a655bbf4fea791f002ad179f1ac69f92336bc7fccfb",
    "zh/chapter-10/03-metric-spaces.md": "78dafe40e9e2ba9929ed744a89f06897db2fe96f8434fc563f89b7f142503655",
    "zh/chapter-10/04-induced-topologies.md": "c963ef9644060098249c7d9aa964e77eb8940ecd1a6784da795e98becb6a8f3f",
    "zh/chapter-10/05-hausdorff-spaces.md": "0377df63d660096f6106b2909e38ca6688f2412e04c9b46767393e35f99d99d7",
    "zh/chapter-10/06-compact-spaces.md": "f405f3c0b1e2f6dc415bf11c1e05d721f254fbc462c7d2e6824f9d0c15b838ab",
    "zh/chapter-10/07-connected-spaces.md": "b47240ff77dc98cc8e40423259cc1fc84f2064ed084aaee566b1ed59550afff3",
    "zh/chapter-10/08-topological-groups.md": "40e39c23ad4632d9a97f04f151312b72ae74facf203e5c4311357aeafe0559dc",
    "zh/chapter-10/09-topological-vector-spaces.md": "b1e18d88b78cee17644b531e6ad328c65da9ab766ce74ffc953e54ad5811d84f",
    "zh/chapter-10/index.md": "4b3ac82ce78754730a98c8ec610df83eafbc6c9bde84e853e50c1901899a6ce8",
    "zh/chapter-11/01-measurable-spaces-and-functions.md": "0e5801479b5859d6fa0081d22792f6e5063856edace04ac2dfc1dab208a32811",
    "zh/chapter-11/02-measure-spaces.md": "d1c1b597d4c13a22f4476e4b470d5affbfd954d4fc73be453403089eb9793138",
    "zh/chapter-11/03-lebesgue-integration.md": "dfa6fe6e07ccffde2e8fb24fc589de231194b6bc2966051e34615cb4e3844381",
    "zh/chapter-11/index.md": "a373e02496a5b78fbc5bc1bba656e2e9323a9d9a1c53e206d72a5e6d2d34dc2c",
    "zh/chapter-12/01-test-functions-and-distributions.md": "1313c447e739f007a893e8a36396d845ca81d5070f59e96e03fc03f2c0d3bce9",
    "zh/chapter-12/02-operations-on-distributions.md": "0a71374a84edb71a9696307ba1f01d38202500cdd75b352f49318433f44b9512",
    "zh/chapter-12/03-fourier-transforms.md": "f691efa0a3948a54051c0300d0fc4b7b463508a93cef39ccab01600a1cc20ef3",
    "zh/chapter-12/04-green-s-functions.md": "bee75e12162dad6e18007ad4d00ee2c257252b6d5e21aef0c749ea9507c95d1f",
    "zh/chapter-12/index.md": "09c965b7484008108d1da2e4c5bcd1230229828c2055afb41773e736391467e8",
    "zh/chapter-13/01-definitions-and-examples.md": "f0914f256f99a6e02d1927be1f285ad9b238d6e4cb01419d5d49e86fa0d4b82d",
    "zh/chapter-13/02-expansion-theorems.md": "2913b8cf4fc112622678a915c6e45b573f91ff3af20f5fd0ef42212378b2f439",
    "zh/chapter-13/03-linear-functionals.md": "207bc1d93e4dc345f7ad10ea7719651deb57ff8976de2815aa39cae1b0a552a3",
    "zh/chapter-13/04-bounded-linear-operators.md": "194ca7b68e093551807e302c52f29521e73d76a77f31f6fd5b10ca6c3ee642c4",
    "zh/chapter-13/05-spectral-theory.md": "c41def9fb035129063afa1427dd3dc03fefdc23486e71c9473c3b3ba4d683f73",
    "zh/chapter-13/06-unbounded-operators.md": "d45e53fc27c5bf1d2c2121c20ab0e61aeb57067de09a90fd6173850a6fa3d4f2",
    "zh/chapter-13/index.md": "06afa4dd1263245f61965b3e87027133ac7e97257cdc64b5efe6f1036b94e37e",
    "zh/chapter-14/01-basic-concepts.md": "aa7ae5d33878e4eddbd8c7943c808eda392dd1072d2000abb456f9ac1793e9dd",
    "zh/chapter-14/02-quantum-dynamics.md": "169b9273ffddda2b376c5049fe82184876c85817f50c198c78c5100218af1223",
    "zh/chapter-14/03-symmetry-transformations.md": "bd46fa60bca66ad8e9e72bb6b593e0bd7bca1ecd3fedf001a84980e27aa738c9",
    "zh/chapter-14/04-quantum-statistical-mechanics.md": "753e050b80c47526364d8aaec8ee1f25350c904e902c9c50678406bfdf02ae1d",
    "zh/chapter-14/index.md": "9c3bf7b6b1b38742f4f67e778a3f42aede7ccb0748aed9409741f3dab9c00c7c",
    "zh/chapter-15/01-differentiable-manifolds.md": "4462fc8c20d8593a4fb08e421a831d99d655bb6a097fa3579d9c651b04f5672d",
    "zh/chapter-15/02-differentiable-maps-and-curves.md": "5037af535ee57ea4c5199aeff4c34564cd8dcab00078f5418fed6e26fa937c27",
    "zh/chapter-15/03-tangent-cotangent-and-tensor-spaces.md": "42521000e4d5202ad14e779d03d39e10558dce1e3f583880e73256da77dce50d",
    "zh/chapter-15/04-tangent-map-and-submanifolds.md": "61e8cfc03794cfc482aec3d3eccff7abc33efb083c528aaef00bc044a98ecea1",
    "zh/chapter-15/05-commutators-flows-and-lie-derivatives.md": "2f0608b8eac69ae4caf530afbfcbc72c0bbf08ce94d9db8746758c0032aafdce",
    "zh/chapter-15/06-distributions-and-frobenius-theorem.md": "225aab8a17b4738fe4c2c90a0fbd4d1303e79044e70ca9d93a75b916d5200722",
    "zh/chapter-15/index.md": "95aae0fb514851efb9ecdbbba5bf9551e8cf3a92b80b219c447ef98813f24279",
    "zh/chapter-16/01-differential-forms-and-exterior-derivative.md": "99404fb238033729b2b2fade3d5c6ef44c94009716c34971d915ad643b107be9",
    "zh/chapter-16/02-properties-of-exterior-derivative.md": "07787b3fe2cdc5cfb76b39ae00430046967984c9701260e8c54dd583c9261af7",
    "zh/chapter-16/03-frobenius-theorem-dual-form.md": "cdfe45869ae5f7e8e68239781754b9128a5f357949874a0e171bb7cab3177c78",
    "zh/chapter-16/04-thermodynamics.md": "4735d1e90df7c488c244eeb0006b5ef32a5616b3bde3dcf69a3414bd828dfb44",
    "zh/chapter-16/05-classical-mechanics.md": "aac6045c8f792acfb5c9989193835b417610f4c945fe5f70074b9b0c3fb0e939",
    "zh/chapter-16/index.md": "df3c319e118769b567e176a6c4b541f725145a01e40cab17f09423f1299b77ec",
    "zh/chapter-17/01-partitions-of-unity.md": "ac4949a5290e2d242874f181575e639623b84e0d6867c49e0b4130c31d8a7763",
    "zh/chapter-17/02-integration-of-n-forms.md": "a5d7e1939076e64a9e0069ca7bc699edc9e6b5ecb2099896b26aa7833a647bf1",
    "zh/chapter-17/03-stokes-theorem.md": "8106886fa25dc64b6ef3cd88e17b299a5dc48af6933e24a846386f26821d7ae2",
    "zh/chapter-17/04-homology-and-cohomology.md": "962da89618680522177106de9b1899c86eb3dedc9484f12c33659d432388a117",
    "zh/chapter-17/05-the-poincar-e-lemma.md": "f5440a353647574b6c86417c8b7555546c7475b0f79d83158e3dc6aa302ec197",
    "zh/chapter-17/index.md": "262bb834a468fe26bd2424d67ee408222c3c265b30a2c78be86d4881942e01ed",
    "zh/chapter-18/01-linear-connections-and-geodesics.md": "b4bd1f5b6fcf90367cdd3e8efb819a4058494134a4f521e512e6652737c9625d",
    "zh/chapter-18/02-covariant-derivative-of-tensor-fields.md": "2885399b51711ade5337c91b82533cb62b064f8171112455b1e0e9586087842f",
    "zh/chapter-18/03-curvature-and-torsion.md": "792c9c121d1cb9d447a6b28d4c9a4a1911b2b2d5151c826b8a97f1599bd9f0a6",
    "zh/chapter-18/04-pseudo-riemannian-manifolds.md": "1bbb27130bf7d8d0ec56ab51f9406b00c7ca2b06919edbe1a20361105c5aba6d",
    "zh/chapter-18/05-equation-of-geodesic-deviation.md": "42f1d5c63036c1d971343a69edaf4bfc088f45ed409d3ced723ada9ae7b1dd26",
    "zh/chapter-18/06-the-riemann-tensor-and-its-symmetries.md": "e35a7d8c4dcdda58c4751166a7c803549594a2f1976e1a4bd8d7551322f3ca45",
    "zh/chapter-18/07-cartan-formalism.md": "91d130d325b892f555ac8f22300aaa70f9e7f6de563af206ed6c3a9d74630f47",
    "zh/chapter-18/08-general-relativity.md": "be2ab20bb5d6a8fdf100c2a69f54076b1b51d8c955cc14b5f090e0ba2a46ec5d",
    "zh/chapter-18/09-cosmology.md": "1ef97b224edd545691596724e28f9d41ea5f8936d80ca689cc5d7b312eda8c17",
    "zh/chapter-18/10-variation-principles-in-space-time.md": "b982eed96313e8879cd18c3a3ecff3c5e674745ed6834ded3768f3f16a774ad0",
    "zh/chapter-18/index.md": "f263d518043fbdc886803c0c7e86fb38ddb1f538e3587708200ff29fb9f21a4e",
    "zh/chapter-19/01-lie-groups.md": "a831952f15afe7545e989fd0929d6e22422790f8c4c855bffc3bbdd3a0f09611",
    "zh/chapter-19/02-the-exponential-map.md": "976e51ba6ea8791a151bec83268d16111acbb39b1972c87cf741c6875c2e61c6",
    "zh/chapter-19/03-lie-subgroups.md": "9eba7646d656cc81248004a9939877c26696aea87c347e90bd7234abe7b865f5",
    "zh/chapter-19/04-lie-groups-of-transformations.md": "6b9fb6e6b5795a67066d5fd3a7943c2f835350c01b6fb3e5c32a14545a7a7b79",
    "zh/chapter-19/05-groups-of-isometries.md": "c8b4516a67aa1386b929a717f77fcdf02b493b8788efffaf7e0048335494cbb1",
    "zh/chapter-19/index.md": "7b5b7dbc47009332285f1599f4a5925d120ae17cd5801fd5d05019634b3f1ac2"
  },
  "counts": {
    "identities": 1136,
    "registered_positions": 2395,
    "located_occurrences": 2395,
    "statements": 75,
    "references": 902,
    "recorded_dependencies_unique": 24,
    "optional_enrichments": 30,
    "stale_enrichments": 0,
    "unresolved": 3
  },
  "policy": {
    "automatic_model_calls": 0,
    "order_is_dependency": false,
    "reference_is_dependency": false,
    "new_uuids": 0
  }
}
