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Anti-Yetter–Drinfeld Modules for Quasi-Hopf Algebras
Symmetry, integrability and geometry: methods and applications, Tome 14 (2018) Cet article a éte moissonné depuis la source Math-Net.Ru

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We apply categorical machinery to the problem of defining anti-Yetter–Drinfeld modules for quasi-Hopf algebras. While a definition of Yetter–Drinfeld modules in this setting, extracted from their categorical interpretation as the center of the monoidal category of modules has been given, none was available for the anti-Yetter–Drinfeld modules that serve as coefficients for a Hopf cyclic type cohomology theory for quasi-Hopf algebras. This is a followup paper to the authors' previous effort that addressed the somewhat different case of anti-Yetter–Drinfeld contramodule coefficients in this and in the Hopf algebroid setting.
Keywords: monoidal category; cyclic homology; Hopf algebras; quasi-Hopf algebras. 
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     author = {Ivan Kobyzev and Ilya Shapiro},
     title = {Anti-Yetter{\textendash}Drinfeld {Modules} for {Quasi-Hopf} {Algebras}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a97/}
}
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Ivan Kobyzev; Ilya Shapiro. Anti-Yetter–Drinfeld Modules for Quasi-Hopf Algebras. Symmetry, integrability and geometry: methods and applications, Tome 14 (2018). http://geodesic.mathdoc.fr/item/SIGMA_2018_14_a97/

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