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arXiv · 1804.02031

Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras

Ivan Kobyzev·Ilya Shapiro
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Abstract

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.

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BibTeXRIS

Ivan Kobyzev, Ilya Shapiro. 2018-04-05. Anti-Yetter-Drinfeld Modules for Quasi-Hopf Algebras. https://doi.org/10.3842/sigma.2018.098

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