翻訳と辞書 Words near each other ・ Algebra homomorphism ・ Algebra i Logika ・ Algebra of Communicating Processes ・ Algebra of physical space ・ Algebra of random variables ・ Algebra of sets ・ Algebra over a field ・ Algebra over an operad ・ Algebra Project ・ Algebra representation ・ Algebra tile ・ Algebra Universalis ・ Algebraic ・ Algebraic & Geometric Topology ・ Algebraic analysis ・ Algebraic character ・ Algebraic closure ・ Algebraic cobordism ・ Algebraic code-excited linear prediction ・ Algebraic combinatorics ・ Algebraic connectivity ・ Algebraic curve ・ Algebraic cycle ・ Algebraic data type ・ Algebraic definition ・ Algebraic differential equation ・ Algebraic differential geometry ・ Algebraic element ・ Algebraic enumeration ・ Algebraic equation 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 Algebraic character ： ウィキペディア英語版 Algebraic character Algebraic character is a formal expression attached to a module in representation theory of semisimple Lie algebras that generalizes the character of a finite-dimensional representation and is analogous to the Harish-Chandra character of the representations of semisimple Lie groups. == Definition == Let $\backslash mathfrak$ be a semisimple Lie algebra with a fixed Cartan subalgebra $\backslash mathfrak,$ and let the abelian group * consist of the (possibly infinite) formal integral linear combinations of $e^$, where $\backslash mu\backslash in\backslash mathfrak^$ *, the (complex) vector space of weights. Suppose that $V$ is a locally-finite weight module. Then the algebraic character of $V$ is an element of $A$ defined by the formula: : $ch(V)=\backslash sum\_\backslash dim\; V\_e^,$ where the sum is taken over all weight spaces of the module $V.$ 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「Algebraic character」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.