2018/04/30 by Ivan Kobyzev, Ilya Shapiro
Mathematics · #math.CT #math.KT #math.QA
paper · pdf · doi:10.3842/sigma.2018.098
published as SIGMA 14 (2018), 098, 10 pages · This is a follow-up paper to arXiv:1803.09194. Section 3 (definition and properties of quasi-Hopf algebra) mostly overlaps
arxiv created 2018/09/13 · arxiv updated 2018/09/14
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.