翻訳と辞書 Words near each other ・ Nilphamari-1 (Jatiyo Sangshad constituency) ・ Nilphamari-2 (Jatiyo Sangshad constituency) ・ Nilphamari-3 (Jatiyo Sangshad constituency) ・ Nilpotence theorem ・ Nilpotent ・ Nilpotent algebra (ring theory) ・ Nilpotent cone ・ Nilpotent group ・ Nilpotent ideal ・ Nilpotent Lie algebra ・ Nilpotent matrix ・ Nilpotent operator ・ Nilpotent orbit ・ Nilpotent space ・ Nilradical ・ Nilradical of a Lie algebra ・ Nilradical of a ring ・ Nilratan Sircar ・ Nils ・ Nils (album) ・ Nils A. Røhne ・ Nils Aage Jegstad ・ Nils Aall Barricelli ・ Nils Aaness ・ Nils Aas ・ Nils Adlercreutz ・ Nils Ahlstrom House ・ Nils Ahnlund ・ Nils Ahrén ・ Nils Allesson Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Nilradical of a Lie algebra ： ウィキペディア英語版 Nilradical of a Lie algebra In algebra, the nilradical of a Lie algebra is a nilpotent ideal, which is as large as possible. The nilradical $\backslash mathfrak(\backslash mathfrak\; g)$ of a finite-dimensional Lie algebra $\backslash mathfrak$ is its maximal nilpotent ideal, which exists because the sum of any two nilpotent ideals is nilpotent. It is an ideal in the radical $\backslash mathfrak(\backslash mathfrak)$ of the Lie algebra $\backslash mathfrak$. The quotient of a Lie algebra by its nilradical is a reductive Lie algebra $\backslash mathfrak^(\backslash mathfrak\; g)\backslash to\; \backslash mathfrak\; g\backslash to\; \backslash mathfrak^(\backslash mathfrak\; g)$ in $\backslash mathfrak$). This is in contrast to the Levi decomposition: the short exact sequence :$0\; \backslash to\; \backslash mathfrak(\backslash mathfrak\; g)\backslash to\; \backslash mathfrak\; g\backslash to\; \backslash mathfrak^^\{\backslash mathrm\{ss\}\}$ is semisimple). ==See also== * Levi decomposition * Nilradical of a ring, a notion in ring theory. 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「Nilradical of a 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.