翻訳と辞書 Words near each other ・ Taft Building ・ Taft Building (Los Angeles) ・ Taft Coliseum ・ Taft College ・ Taft Commission ・ Taft County ・ Taft Elementary School ・ Taft equation ・ Taft family ・ Taft Farmstead ・ Taft Heights, California ・ Taft High School ・ Taft High School (Lincoln City, Oregon) ・ Taft High School (Texas) ・ Taft Homes ・ Taft Hopf algebra ・ Taft House ・ Taft House (Chaumont, New York) ・ Taft Independent ・ Taft Independent School District ・ Taft Jordan ・ Taft Law School ・ Taft Mosswood, California ・ Taft Museum of Art ・ Taft Point ・ Taft Police Department ・ Taft Richardson Jr. ・ Taft School ・ Taft Southwest, Texas ・ Taft Stadium 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 Taft Hopf algebra ： ウィキペディア英語版 Taft Hopf algebra In algebra, a Taft Hopf algebra is a Hopf algebra introduced by that is neither commutative nor cocommutative and has an antipode of large even order. ==Construction== Suppose that ''k'' is a field with a primitive ''nth root of unity ζ for some positive integer ''n''. The Taft algebra is the ''n''2-dimensional associative algebra generated over ''k'' by ''c'' and ''x'' with the relations ''c''''n''=1, ''x''''n''=0, ''xc''=ζ''cx''. The coproduct takes ''c'' to ''c''⊗''c'' and ''x'' to ''c''⊗''x'' + ''x''⊗1. The counit takes ''c'' to 1 and ''x'' to 0. The antipode takes ''c'' to ''c''−1 and ''x'' to –''c''−1''x'': the order of the antipode is 2''n''. 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「Taft Hopf 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.