Frobenius and separable functors for generalized module categories and nonlinear equations

＜図書＞
Frobenius and separable functors for generalized module categories and nonlinear equations

責任表示	Stefaan Caenepeel, Gigel Militaru, Shenglin Zhu
シリーズ	Lecture notes in mathematics ; 1787
データ種別	図書
出版情報	Berlin : Springer-Verlag , c2002
本文言語	英語
大きさ	xiv, 354 p. ; 24 cm
概要	Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the past decades, such as Hopf modules, graded modules, Yetter-Drinfeld modules. ...he book presents a unified theory, with focus on categorical concepts generalizing the notions of separable and Frobenius algebras, and discussing relations with smash products, Galois theory and descent theory. Each chapter of Part II is devoted to a particular nonlinear equation. The expos is organized in such a way that the analogies between the four are clear: the quantum Yang-Baxter equation is related to Yetter-Drinfeld modules, the pentagon equation to Hopf modules, and the Long equation to Long dimodules. The Frobenius-separability equation provides a new viewpoint to Frobenius and separable algebras. 続きを見る
電子版へのリンク	https://hdl.handle.net/2324/7007041

一般注記	Bibliography: p. [345]-352 Includes index
著者標目	*Caenepeel, S. (Stefaan), 1956- Militaru, Gigel Zhu, Shenglin
書誌ID	1001244708
ISBN	3540437827
NCID	BA58327382
巻冊次	ISBN:3540437827
登録日	2009.09.18
更新日	2017.02.18