{
  "schema_version": 1,
  "kind": "ConceptView",
  "producer": "concept-view-1",
  "concept_id": "urn:uuid:bb3b541c-b4ed-45bc-a26e-9365d65888f6",
  "labels": {
    "zh-CN": "左不变向量场",
    "en": "left-invariant vector field"
  },
  "alternative_labels": [],
  "scope_note": "",
  "identity_status": "active",
  "identity_revision": "0b7cd6553bfebc0672f5b8e1653a4ab59febec873e2f3814bd8c249858143530",
  "occurrences": [
    {
      "concept_id": "urn:uuid:bb3b541c-b4ed-45bc-a26e-9365d65888f6",
      "book_id": "szekeres",
      "edition_id": "source-snapshot-bc3404156f6e",
      "lang": "zh-CN",
      "route": "zh/chapter-19/01-lie-groups",
      "anchor": "concept-19-left-invariant-vector-field",
      "chapter": "19",
      "section": "19.1",
      "offset": 3612,
      "range": [
        8726,
        8989
      ],
      "source_revision": "a831952f15afe7545e989fd0929d6e22422790f8c4c855bffc3bbdd3a0f09611",
      "source_category": "translation",
      "review_status": "unreviewed",
      "role": "occurrence",
      "role_basis": {
        "kind": "explicit-source-uuid-marker"
      },
      "label": "左不变向量场(left-invariant vector field)",
      "context": {
        "range": [
          8490,
          8989
        ],
        "quote": "其中 $X$ 是任意光滑向量场。在<a href=\"#equation-19-1\" class=\"cross-reference\" id=\"xref-01-lie-groups-4\" data-reference=\"equation-19-1\">式 (19.1)</a> 的右端，$L _ { g * }$ 是点 $g ^ { - 1 } a$ 处的切映射。若对一切 $g \\in G$ 均有 $L _ { g * } X = X$，则称 $G$ 上的向量场 $X$ 为 <u id=\"concept-19-left-invariant-vector-field\" class=\"concept-term\" data-concept-identity=\"urn:uuid:bb3b541c-b4ed-45bc-a26e-9365d65888f6\" data-concept-route=\"/concept-identities#concept-bb3b541c-b4ed-45bc-a26e-9365d65888f6\">左不变向量场(left-invariant vector field)</u>",
        "quote_sha256": "f282cf678c1b23b8bf6e63076229a57602dd73fb99aa3878601c33a5a820faa5",
        "environment": null,
        "excerpt_omitted": false
      },
      "parallel_readings": [
        {
          "route": "en/chapter-19/01-lie-groups",
          "lang": "en",
          "source_category": "original_transcription",
          "basis": "registered-book-edition-section-language-context; not-concept-equivalence"
        }
      ],
      "id": "occ-a5f6e0730ae9c47888aafd6a"
    }
  ],
  "registered_positions": [
    {
      "route": "zh/chapter-19/01-lie-groups",
      "lang": "zh-CN",
      "section": "19.1",
      "signal": "term-mark",
      "label": "左不变向量场",
      "english": "left-invariant vector field",
      "offset": 3144
    }
  ],
  "statements": [],
  "resolved_references": [
    {
      "raw": "href=\"#equation-19-1\"",
      "href": "#equation-19-1",
      "range": [
        8510,
        8531
      ],
      "relation": "references",
      "target_route": "zh/chapter-19/01-lie-groups",
      "target_anchor": "equation-19-1",
      "resolved": true,
      "reason": null,
      "source_revision": "a831952f15afe7545e989fd0929d6e22422790f8c4c855bffc3bbdd3a0f09611",
      "source_route": "zh/chapter-19/01-lie-groups",
      "occurrence_id": "occ-a5f6e0730ae9c47888aafd6a"
    }
  ],
  "reading_order": [
    "occ-a5f6e0730ae9c47888aafd6a"
  ],
  "recorded_dependencies": [],
  "reading_paths": [],
  "coverage": {
    "registered_positions": 1,
    "located_occurrences": 1,
    "whole_book_search_complete": false,
    "registered_positions_truncated": false,
    "independent_human_review_implied": false
  },
  "unresolved": [],
  "base_revision": "bee127ec1575e05379161aab0c45417b0edfbdff37df1774e9180ea47feee1f4",
  "optional_enrichments": []
}