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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 Induced character ： ウィキペディア英語版 Induced character In mathematics, an induced character is the character of the representation ''V'' of a finite group ''G'' induced from a representation ''W'' of a subgroup ''H'' ≤ ''G''. More generally, there is also a notion of induction $\backslash operatorname(f)$ of a class function ''f'' on ''H'' given by the formula :$\backslash operatorname(f)(s)\; =\; \backslash frac\; \backslash sum\_\; f(t^\; st).$ If ''f'' is a character of the representation ''W'' of ''H'', then this formula for $\backslash operatorname(f)$ calculates the character of the induced representation ''V'' of ''G''.〔. Translated from the second French edition by Leonard L. Scott.〕 The basic result on induced characters is Brauer's theorem on induced characters. It states that every irreducible character on ''G'' is a linear combination with integer coefficients of characters induced from elementary subgroups. == References == 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「Induced 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.