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        "quote": "设 $A _ { 1 } , \\ldots , A _ { n }$ 是单位元处切空间 $T _ { e } ( G )$ 的一组基，而 $X _ { 1 } , \\ldots , X _ { n }$ 是相应的左不变向量场集合，构成 ${ \\mathcal { G } } .$ 的一组基。如<a href=\"../chapter-06/05-lie-algebras-and-lie-groups#section-6-5\" class=\"cross-reference\" id=\"xref-01-lie-groups-6\" data-reference=\"section-6-5\">第 6.5 节</a>所定义，<u id=\"concept-19-structure-constants\" class=\"concept-term\" data-concept-identity=\"urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7\" data-concept-route=\"/concept-identities#concept-acfdabfa-4d2d-4076-b0b7-228126379ad7\">结构常数(structure constants)</u> $C _ { i j } ^ { k } = - C _ { j i } ^ { k }$ 由",
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        "quote": "Let $A _ { 1 } , \\ldots , A _ { n }$ be a basis of the tangent space at the identity $T _ { e } ( G )$ , and $X _ { 1 } , \\ldots , X _ { n }$ the associated set of left-invariant vector fields forming a basis of ${ \\mathcal { G } } .$ . As in <a href=\"../chapter-06/05-lie-algebras-and-lie-groups#section-6-5\" class=\"cross-reference\" id=\"xref-01-lie-groups-8\" data-reference=\"section-6-5\">Section 6.5</a> define the <u class=\"concept-term\" data-concept-identity=\"urn:uuid:acfdabfa-4d2d-4076-b0b7-228126379ad7\" data-concept-route=\"/concept-identities#concept-acfdabfa-4d2d-4076-b0b7-228126379ad7\" id=\"first-f998b514210726440578-lie-en\">structure constants</u> $C _ { i j } ^ { k } = - C _ { j i } ^ { k }$ by",
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