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Lecture Notes in Mathematics

Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations

Authors: Caenepeel, Stefaan, Militaru, Gigel, Zhu, Shenglin

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About this book

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.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-3-540-48042-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1787
Copyright
2002
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-48042-6
DOI
10.1007/b83849
Softcover ISBN
978-3-540-43782-6
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIV, 354
Topics

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