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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Structure constants ： ウィキペディア英語版 Structure constants In group theory, a discipline within mathematics, the structure constants of a Lie group determine the commutation relations between its generators in the associated Lie algebra. ==Definition== Given a set of generators $T^i$, the structure constants $f^$express the Lie brackets of pairs of generators as linear combinations of generators from the set, i.e. :$(T^b)\; =\; \backslash sum\_\; f^\; T^c$. The structure constants determine the Lie brackets of elements of the Lie algebra, and consequently nearly completely determine the group structure of the Lie group. For small elements $X,\; Y$ of the Lie algebra, the structure of the Lie group near the identity element is given by $\backslash exp(X)\backslash exp(Y)\; \backslash approx\; \backslash exp(X\; +\; Y\; +\; \backslash tfrac())$. This expression is made exact by the Baker–Campbell–Hausdorff formula. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Structure constants」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.