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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| Médium: | Livre numérique |
| Jazyk: | Anglais |
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Springer
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Cham : Springer Nature |
| Edice: | Lecture notes in mathematics
1787 |
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| Edition sous un autre format: | • Frobenius and separable functors for generalized module categories and nonlinear equations, Stefaan Caenepeel, Gigel Militaru, Shenglin Zhu, 2002, Berlin, Springer, 1 vol. (XIV-354 p.), Lecture notes in mathematics, 3-540-43782-7 • Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations, Texte imprimé, 9783662170236 |
Obsah:
- 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.