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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 Descent algebra ： ウィキペディア英語版 Descent algebra In algebra, Solomon's descent algebra of a Coxeter group is a subalgebra of the integral group ring of the Coxeter group, introduced by . ==The descent algebra of the symmetric group== In the special case of the symmetric group ''S''''n'', the descent algebra is given by the elements of the group ring such that permutations with the same descent set have the same coefficients. (The descent set of a permutation σ consists of the indices ''i'' such that σ(''i'') > σ(''i''+1).) The descent algebra of the symmetric group ''S''''n'' has dimension 2''n-1''. It contains the peak algebra as a left ideal. 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「Descent algebra」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.