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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 Parabolic Lie algebra ： ウィキペディア英語版 Parabolic Lie algebra In algebra, a parabolic Lie algebra $\backslash mathfrak\; p$ is a subalgebra of a semisimple Lie algebra $\backslash mathfrak\; g$ satisfying one of the following two conditions: * $\backslash mathfrak\; p$ contains a maximal solvable subalgebra (a Borel subalgebra) of $\backslash mathfrak\; g$; * the Killing perp of $\backslash mathfrak\; p$ in $\backslash mathfrak\; g$ is the nilradical of $\backslash mathfrak\; p$. These conditions are equivalent over an algebraically closed field of characteristic zero, such as the complex numbers. If the field $\backslash mathbb\; F$ is not algebraically closed, then the first condition is replaced by the assumption that * $\backslash mathfrak\; p\backslash otimes\_\backslash overline$ contains a Borel subalgebra of $\backslash mathfrak\; g\backslash otimes\_\backslash overline$ where $\backslash overline$ is the algebraic closure of $\backslash mathbb\; F$. ==See also== * Generalized flag variety 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「Parabolic 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.