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Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations

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 se...

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Bibliographic Details
Main Authors: Caenepeel, Stefaan, Militaru, Gigel (Author), Zhu, Shenglin (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Series:Lecture Notes in Mathematics
Subjects:
Associative Algebras
Associative Rings
Associative Rings And Algebras
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • Part I: Entwined modules and Doi-Koppinen Hopf modules
  • 1. Generalities
  • 2. Doi-Koppinen Hopf modules and entwined modules
  • 3. Frobenius and separable functors for entwined modules
  • 4. Applications
  • Part II: Nonlinear equations
  • 5. Yetter-Drinfeld modules and the quantum Yang-Baxter equation
  • 6. Hopf modules and the pentagon equation
  • 7. Long dimodules and the Long equation
  • 8. The Frobenius-Separability equation
  • References
  • Index

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