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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 Cartan subalgebra ： ウィキペディア英語版 Cartan subalgebra In mathematics, a Cartan subalgebra, often abbreviated as CSA, is a nilpotent subalgebra $\backslash mathfrak$ of a Lie algebra $\backslash mathfrak$ that is self-normalising (if $()\; \backslash in\; \backslash mathfrak$ for all $X\; \backslash in\; \backslash mathfrak$, then $Y\; \backslash in\; \backslash mathfrak$). They were introduced by Élie Cartan in his doctoral thesis. == Existence and uniqueness == Cartan subalgebras exist for finite-dimensional Lie algebras whenever the base field is infinite. If the field is algebraically closed of characteristic 0 and the algebra is finite-dimensional then all Cartan subalgebras are conjugate under automorphisms of the Lie algebra, and in particular are all isomorphic. Kac–Moody algebras and generalized Kac–Moody algebras also have Cartan subalgebras. 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「Cartan subalgebra」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.