Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations / Lecture Notes in Mathematics Bd.1787 (PDF)
(Sprache: Englisch)
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...
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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.
Bibliographische Angaben
- Autoren: Stefaan Caenepeel , Gigel Militaru , Shenglin Zhu
- 2004, 2002, 354 Seiten, Englisch
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540480420
- ISBN-13: 9783540480426
- Erscheinungsdatum: 13.10.2004
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 3.17 MB
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Englisch
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