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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 Quadratic Lie algebra ： ウィキペディア英語版 Quadratic Lie algebra A quadratic Lie algebra is a Lie algebra together with a compatible symmetric bilinear form. Compatibility means that it is invariant under the adjoint representation. Examples of such are semisimple Lie algebras, such as su(n) and sl(n,R). == Definition == A quadratic Lie algebra is a Lie algebra (g,()) together with an inner product $(.,.)\backslash colon\; \backslash mathfrak\backslash otimes\backslash mathfrak\backslash to\; \backslash mathbb$ that is invariant under the adjoint action, i.e. :((),''Z'')+(''Y'',())=0 where ''X,Y,Z'' are elements of the Lie algebra g. A localization/ generalization is the concept of Courant algebroid where the vector space g is replaced by (sections of) a vector bundle. 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「Quadratic Lie algebra」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.