翻訳と辞書 Words near each other ・ Yetlington ・ Yetman (surname) ・ Yetman, New South Wales ・ Yetmen ・ Yetminster ・ Yetminster Hundred ・ Yetminster railway station ・ Yetnebersh Nigussie ・ Yeto Island ・ Yeto Vellipoyindhi Manasu ・ Yett ・ Yetta Barsh Shachtman ・ Yetta Zwerling ・ Yettem, California ・ Yetter, Iowa ・ Yetter–Drinfeld category ・ Yettinabudihal ・ Yettinhatti ・ Yettinkeri ・ Yetto railway station ・ Yetunde ・ Yetzer hara ・ Yetzirah ・ Yeum Go-eun ・ Yeung Chau ・ Yeung Chau, Tai Po ・ Yeung Chi Lun ・ Yeung Ching Kwong ・ Yeung Chui Ling ・ Yeung Hok-ling 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 Yetter–Drinfeld category ： ウィキペディア英語版 Yetter–Drinfeld category In mathematics a Yetter–Drinfeld category is a special type of braided monoidal category. It consists of modules over a Hopf algebra which satisfy some additional axioms. == Definition == Let ''H'' be a Hopf algebra over a field ''k''. Let $\backslash Delta$ denote the coproduct and ''S'' the antipode of ''H''. Let ''V'' be a vector space over ''k''. Then ''V'' is called a (left left) Yetter–Drinfeld module over ''H'' if * $(V,\backslash boldsymbol)$ is a left ''H''-module, where $\backslash boldsymbol:\; H\backslash otimes\; V\backslash to\; V$ denotes the left action of ''H'' on ''V'' and ⊗ denotes a tensor product, * $(V,\backslash delta\backslash ;)$ is a left ''H''-comodule, where $\backslash delta\; :\; V\backslash to\; H\backslash otimes\; V$ denotes the left coaction of ''H'' on ''V'', * the maps $\backslash boldsymbol$ and $\backslash delta$ satisfy the compatibility condition ::$\backslash delta\; (h\backslash boldsymbolv)=h\_v\_S(h\_)$ \otimes h_\boldsymbolv_ for all $h\backslash in\; H,v\backslash in\; V$, :where, using Sweedler notation, $(\backslash Delta\; \backslash otimes\; \backslash mathrm)\backslash Delta\; (h)=h\_\backslash otimes\; h\_$ \otimes h_ \in H\otimes H\otimes H denotes the twofold coproduct of $h\backslash in\; H$, and $\backslash delta\; (v)=v\_\backslash otimes\; v\_$. 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「Yetter–Drinfeld category」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.