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Frobenius and separable functors for the category of entwined modules over cowreaths, II: Applications

Journal Contribution - Journal Article

Let H be a quasi-Hopf algebra. We apply results obtained in [8] to give necessary and sufficient conditions for the forgetful functor from Doi–Hopf modules, two-sided Hopf modules or Yetter–Drinfeld modules over H to representations of the underlying algebra to be Frobenius (resp. separable). We show that in some situations these conditions reduce to the unimodularity and/or (co)semisimplicity of the quasi-Hopf algebra H.

Journal: Journal of Algebra
ISSN: 0021-8693
Volume: 515
Pages: 236-277
Publication year:2018
Keywords:cowreath, entwined module, quasi-Hopf algebra, Doi-Hopf module, two-sided Hopf module, Yetter-Drinfeld module
BOF-keylabel:yes
BOF-publication weight:1
CSS-citation score:1
Authors:International
Authors from:Higher Education
Accessibility:Open