Stefaan Caenepeel

(Author)

Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations (2002)Paperback - 2002, 23 July 2002

Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations (2002)
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Part of Series
Lecture Notes in Mathematics
Part of Series
Lecture Notes in Mathematics Lecture Notes in Mathematics
Print Length
354 pages
Language
English
Publisher
Springer
Date Published
23 Jul 2002
ISBN-10
3540437827
ISBN-13
9783540437826

Description

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.

Product Details

Authors:
Stefaan CaenepeelGigel MilitaruShenglin Zhu
Book Edition:
2002
Book Format:
Paperback
Country of Origin:
US
Date Published:
23 July 2002
Dimensions:
23.39 x 15.6 x 1.96 cm
ISBN-10:
3540437827
ISBN-13:
9783540437826
Language:
English
Location:
Berlin, Heidelberg
Pages:
354
Publisher:
Weight:
521.63 gm

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