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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 Monomial representation ： ウィキペディア英語版 Monomial representation In mathematics, a linear representation ρ of a group ''G'' is a monomial representation if there is a finite-index subgroup ''H'' and a one-dimensional linear representation σ of ''H'', such that ρ is equivalent to the induced representation :Ind''H''''G''σ. Alternatively, one may define it as a representation whose image is in the monomial matrices. Here for example ''G'' and ''H'' may be finite groups, so that ''induced representation'' has a classical sense. The monomial representation is only a little more complicated than the permutation representation of ''G'' on the cosets of ''H''. It is necessary only to keep track of scalars coming from σ applied to elements of ''H''. ==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「Monomial 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.