{ "schema_version": 1, "kind": "ConceptView", "producer": "concept-view-1", "concept_id": "urn:uuid:f033ef18-bc06-41cd-99de-7d70e80ee200", "labels": { "zh-CN": "雅可比群", "en": "Jacobi group" }, "alternative_labels": [], "scope_note": "", "identity_status": "active", "identity_revision": "34a48b062455d0008081b96213e26b09d7f278268949cc6baba5fe3b529bf46a", "occurrences": [ { "concept_id": "urn:uuid:f033ef18-bc06-41cd-99de-7d70e80ee200", "book_id": "woit-qtgr", "edition_id": "2025-10-20", "lang": "zh-CN", "route": "books/woit-qtgr/2025-10-20/zh/chapter-18/02-semi-direct-product-groups", "anchor": "first-7f70b92ed826589a6d11-zh", "chapter": "18", "section": "18.2", "offset": 2228, "range": [ 8548, 8666 ], "source_revision": "b5b0ccf8531fb7a967741f1fabd35d601925f6bccb9a55f32738dcaea253f444", "source_category": "machine_draft", "review_status": "machine-draft-not-reviewed", "role": "definition", "role_basis": { "kind": "registered-source-environment", "registered_position": { "route": "books/woit-qtgr/2025-10-20/zh/chapter-18/02-semi-direct-product-groups", "lang": "zh-CN", "section": "18.2", "signal": "named-definition", "label": "雅可比群", "english": "", "offset": 1943 } }, "label": "> [!definition] 定义（雅可比群）", "context": { "range": [ 8548, 8666 ], "quote": "\n\n> [!definition] 定义（雅可比群）\n> $d$ 维的雅可比群是半直积群\n>\n> $$\n> G ^ {J} (d) = H _ {2 d + 1} \\rtimes S p (2 d, \\mathbf {R})\n> $$\n", "quote_sha256": "ccdcb38a41784a37cf649fb3551362dcd3e1f9c125a46085174e43d56e241760", "environment": "definition", "excerpt_omitted": false }, "parallel_readings": [ { "route": "books/woit-qtgr/2025-10-20/en/chapter-18/02-semi-direct-product-groups", "lang": "en", "source_category": "machine_draft", "basis": "registered-book-edition-section-language-context; 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