| 書(shū)目名稱 | Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations |
| 編輯 | Stefaan Caenepeel,Gigel Militaru,Shenglin Zhu |
| 視頻video | http://file.papertrans.cn/349/348473/348473.mp4 |
| 概述 | Includes supplementary material: |
| 叢書(shū)名稱 | Lecture Notes in Mathematics |
| 圖書(shū)封面 |  |
| 描述 | 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. The 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 exposé 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. |
| 出版日期 | Book 2002 |
| 關(guān)鍵詞 | Entwined module; Frobenius functor; Galois theory; Nonlinear equation; Separable functor; Yetter-Drinfeld |
| 版次 | 1 |
| doi | https://doi.org/10.1007/b83849 |
| isbn_softcover | 978-3-540-43782-6 |
| isbn_ebook | 978-3-540-48042-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | Springer-Verlag Berlin Heidelberg 2002 |
|Archiver|手機(jī)版|小黑屋|
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