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        "quote": "The vector space $\\mathcal { G }$ therefore forms an $n$-dimensional Lie algebra called the <u class=\"concept-term\" data-concept-identity=\"urn:uuid:978dbe89-0e8f-46c3-b80a-20f64bb067fc\" data-concept-route=\"/concept-identities#concept-978dbe89-0e8f-46c3-b80a-20f64bb067fc\" id=\"first-ef34c11150218cf44b2b-en\">Lie algebra of the Lie group</u> $G .$ . Because of the one-to-one correspondence between $\\mathcal { G }$ and $T _ { e } ( G )$ ) it is meaningful to write $[ A , B ]$ for any pair $A$, $B \\in T _ { e } ( G )$ , and the Lie algebra structure can be thought of as being imposed on the tangent space at the identity $e .$",
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