Item description for Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations (Lecture Notes in Mathematics) by Stefaan Caenepeel...
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 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.
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Est. Packaging Dimensions: Length: 9.2" Width: 6.1" Height: 0.8" Weight: 1.35 lbs.
Release Date Sep 17, 2002
ISBN 3540437827 ISBN13 9783540437826
Availability 94 units. Availability accurate as of May 29, 2017 01:13.
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More About Stefaan Caenepeel
Caenepeel is a Professor in the Faculty of Applied Sciences at the Free University of Brussels, Belgium.
Stefaan Caenepeel was born in 1956 and has an academic affiliation as follows - Free University of Brussels, Belgium.