Download E-books Frobenius and Separable Functors for Generalized Module Categories and Nonlinear Equations (Lecture Notes in Mathematics) PDF

By Stefaan Caenepeel

Doi-Koppinen Hopf modules and entwined modules unify different types of modules which have been intensively studied over the last many years, akin to Hopf modules, graded modules, Yetter-Drinfeld modules. The ebook provides a unified conception, with specialize in express options generalizing the notions of separable and Frobenius algebras, and discussing family with ruin items, Galois concept and descent thought. each one bankruptcy of half II is dedicated to a selected nonlinear equation. The exposé is equipped in this kind of method that the analogies among the 4 are transparent: the quantum Yang-Baxter equation is expounded to Yetter-Drinfeld modules, the pentagon equation to Hopf modules, and the lengthy equation to lengthy dimodules. The Frobenius-separability equation presents a brand new point of view to Frobenius and separable algebras.

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