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Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations

Name: Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations
Brand: Springer, Berlin
SKU: 01564380
Price: 53.79 EUR
Availability: InStock
Author: Stefaan Caenepeel
ISBN: 9783540437826

Stefaan Caenepeel

Gigel Militaru

hu Shenglin

Language

English

Book Paperback

Libristo code: 01564380

Publishers Springer, Berlin, November 2001

Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensi... Full description

Libristo code: 01564380

132 b

53.79 € VAT included

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Doi-Koppinen Hopf modules and entwined modules unify various kinds of modules that have been intensively studied over the pastdecades, 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.