{
"schema_version": 1,
"kind": "ConceptView",
"producer": "concept-view-1",
"concept_id": "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
"labels": {
"zh-CN": "群",
"en": "group"
},
"alternative_labels": [
{
"lang": "en",
"value": "Group"
}
],
"scope_note": "",
"identity_status": "active",
"identity_revision": "e5510939574c164911e0e0deb8947686f518a8aed575d8e94f4c4974686f253c",
"occurrences": [
{
"concept_id": "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
"book_id": "szekeres",
"edition_id": "source-snapshot-bc3404156f6e",
"lang": "zh-CN",
"route": "zh/chapter-02/01-elements-of-group-theory",
"anchor": "concept-2-group",
"chapter": "2",
"section": "2.1",
"offset": 1446,
"range": [
5977,
6190
],
"source_revision": "ad9d6c5a6bcd992ad92802c42b86c6bf56d20c316c26e232554fab59e18fbd9d",
"source_category": "translation",
"review_status": "unreviewed",
"role": "occurrence",
"role_basis": {
"kind": "explicit-source-uuid-marker"
},
"label": "群(group)",
"context": {
"range": [
5970,
6190
],
"quote": "这样的集合称为群(group)",
"quote_sha256": "8bca6e7eb84e351ebaa5c6ef4f2a3f20075aa43a9b567816d38861f6f28bfae2",
"environment": null,
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "en/chapter-02/01-elements-of-group-theory",
"lang": "en",
"source_category": "original_transcription",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-f6071981a59df4fc0b089a82"
},
{
"concept_id": "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "en",
"route": "books/woit-qtgr/2025-10-20/en/chapter-01/03-unitary-group-representations",
"anchor": "first-d266984ecf4cc0979e3c-en",
"chapter": "1",
"section": "1.3",
"offset": 1027,
"range": [
11139,
11739
],
"source_revision": "506df09dbe35a6204e5ffc4f72fff297ea3b962779b5791e5317ce0bbed736cb",
"source_category": "original_transcription",
"review_status": "ai-transcription-compared",
"role": "definition",
"role_basis": {
"kind": "registered-source-environment",
"registered_position": {
"route": "books/woit-qtgr/2025-10-20/en/chapter-01/03-unitary-group-representations",
"lang": "en",
"section": "1.3",
"signal": "named-definition",
"label": "Group",
"english": "Group",
"offset": 957
}
},
"label": "> [!definition] Definition · Group",
"context": {
"range": [
11139,
11739
],
"quote": "\n\n> [!definition] Definition · Group\n> \n>\n> Definition (Group). A group $G$ is a set with an associative multiplication, such that the set contains an identity element, as well as the multiplicative inverse of each element.\n",
"quote_sha256": "550c7e5714e00b741cd8ac3b57b6a7e5fe6969f0667aed81d824a0e8a73024da",
"environment": "definition",
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-01/03-unitary-group-representations",
"lang": "zh-CN",
"source_category": "translation",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-49998a641c14b89f084d8abf"
},
{
"concept_id": "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "zh-CN",
"route": "books/woit-qtgr/2025-10-20/zh/chapter-01/03-unitary-group-representations",
"anchor": "first-d266984ecf4cc0979e3c-zh",
"chapter": "1",
"section": "1.3",
"offset": 1151,
"range": [
12695,
12956
],
"source_revision": "4ee587fc4d72d2916ca8f6bce8080ecd42e2ae3d45d92d067027a95982f00008",
"source_category": "translation",
"review_status": "unreviewed",
"role": "occurrence",
"role_basis": {
"kind": "explicit-source-uuid-marker"
},
"label": "群(group)",
"context": {
"range": [
12588,
13140
],
"quote": "\n> [!definition] 定义 · 群(group)\n> \n>\n> 定义（群）。群 $G$ 是一个带有结合乘法的集合，使得该集合包含恒等元，以及每个元素的乘法逆。\n",
"quote_sha256": "424ac50b805eafbd13817a96bf5e56ce29eb9aeb239cb69e11e0cbf3a175f6f0",
"environment": "definition",
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-01/03-unitary-group-representations",
"lang": "en",
"source_category": "original_transcription",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-76e4bebd5234af550dcec5d2"
},
{
"concept_id": "urn:uuid:2f3aced7-6c7e-48e2-b0c1-4950a8da9857",
"book_id": "woit-qtgr",
"edition_id": "2025-10-20",
"lang": "en",
"route": "books/woit-qtgr/2025-10-20/en/chapter-01/03-unitary-group-representations",
"anchor": "concept-1-group",
"chapter": "1",
"section": "1.3",
"offset": 1234,
"range": [
11346,
11569
],
"source_revision": "506df09dbe35a6204e5ffc4f72fff297ea3b962779b5791e5317ce0bbed736cb",
"source_category": "original_transcription",
"review_status": "ai-transcription-compared",
"role": "occurrence",
"role_basis": {
"kind": "explicit-source-uuid-marker"
},
"label": "Group",
"context": {
"range": [
11139,
11739
],
"quote": "\n\n> [!definition] Definition · Group\n> \n>\n> Definition (Group). A group $G$ is a set with an associative multiplication, such that the set contains an identity element, as well as the multiplicative inverse of each element.\n",
"quote_sha256": "550c7e5714e00b741cd8ac3b57b6a7e5fe6969f0667aed81d824a0e8a73024da",
"environment": "definition",
"excerpt_omitted": false
},
"parallel_readings": [
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-01/03-unitary-group-representations",
"lang": "zh-CN",
"source_category": "translation",
"basis": "registered-book-edition-section-language-context; not-concept-equivalence"
}
],
"id": "occ-ad1ff42b263c3e11affcc5a7"
}
],
"registered_positions": [
{
"route": "zh/chapter-02/01-elements-of-group-theory",
"lang": "zh-CN",
"section": "2.1",
"signal": "term-mark",
"label": "群",
"english": "group",
"offset": 822
},
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-01/03-unitary-group-representations",
"lang": "en",
"section": "1.3",
"signal": "named-definition",
"label": "Group",
"english": "Group",
"offset": 957
},
{
"route": "books/woit-qtgr/2025-10-20/en/chapter-01/03-unitary-group-representations",
"lang": "en",
"section": "1.3",
"signal": "term-mark",
"label": "Group",
"english": "Group",
"offset": 1163
},
{
"route": "books/woit-qtgr/2025-10-20/zh/chapter-01/03-unitary-group-representations",
"lang": "zh-CN",
"section": "1.3",
"signal": "term-mark",
"label": "群",
"english": "group",
"offset": 905
}
],
"statements": [],
"resolved_references": [],
"reading_order": [
"occ-f6071981a59df4fc0b089a82",
"occ-49998a641c14b89f084d8abf",
"occ-76e4bebd5234af550dcec5d2",
"occ-ad1ff42b263c3e11affcc5a7"
],
"recorded_dependencies": [],
"reading_paths": [],
"coverage": {
"registered_positions": 4,
"located_occurrences": 4,
"whole_book_search_complete": false,
"registered_positions_truncated": false,
"independent_human_review_implied": false
},
"unresolved": [],
"base_revision": "30e94618c45bad57290408ba0469f54b4c9e116a3ec775faf2c51ad9615954bd",
"optional_enrichments": []
}