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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 Isotypical representation ： ウィキペディア英語版 Isotypical representation In group theory, an isotypical or primary representation of a group G is a unitary representation $\backslash pi\; :\; G\; \backslash longrightarrow\; \backslash mathcal(\backslash mathcal)$ such that any two subrepresentations have equivalent subsubrepresentations. This is related to the notion of a primary or factor representation of a C *-algebra, or to the factor for a von Neumann algebra: the representation $\backslash pi$ of G is isotypical iff $\backslash pi(G)^$ is a factor. This term more generally used in the context of semisimple modules. == Property == One of the interesting property of this notion lies in the fact that two isotypical representations are either quasi-equivalent or disjoint (in analogy with the fact that irreducible representations are either unitarily equivalent or disjoint). This can be understood through the correspondence between factor representations and minimal central projection (in a von Neumann algebra),.〔Dixmier 〕 Two minimal central projections are then either equal or orthogonal. 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「Isotypical representation」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.