翻訳と辞書 Words near each other ・ Cater ・ Cater 2 U ・ Cater Allen ・ Cater Brothers ・ Cater Fe She ・ Cater Hall ・ Cater MetroTrolley ・ Cater Rand ・ Caterair ・ Cateran ・ Cateran Hole ・ Cateran Trail ・ Caterer (surname) ・ Caterham ・ Category mistake ・ Category O ・ Category of abelian groups ・ Category of being ・ Category of elements ・ Category of finite-dimensional Hilbert spaces ・ Category of groups ・ Category of magmas ・ Category of manifolds ・ Category of medial magmas ・ Category of metric spaces ・ Category of modules ・ Category of preordered sets ・ Category of relations ・ Category of rings ・ Category of sets 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 Category O ： ウィキペディア英語版 Category O Category O (or category $\backslash mathcal$) is a mathematical object in representation theory of semisimple Lie algebras. It is a category whose objects are certain representations of a semisimple Lie algebra and morphisms are homomorphisms of representations. == Introduction == Assume that $\backslash mathfrak$ is a (usually complex) semisimple Lie algebra with a Cartan subalgebra $\backslash mathfrak$, $\backslash Phi$ is a root system and $\backslash Phi^+$ is a system of positive roots. Denote by $\backslash mathfrak\_\backslash alpha$ the root space corresponding to a root $\backslash alpha\backslash in\backslash Phi$ and $\backslash mathfrak:=\backslash oplus\_\; \backslash mathfrak\_\backslash alpha$ a nilpotent subalgebra. If $M$ is a $\backslash mathfrak$-module and $\backslash lambda\backslash in\backslash mathfrak^$ *, then $M\_\backslash lambda$ is the weight space :$M\_\backslash lambda=\backslash .$ 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「Category O」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.