Tensor product decomposition rules for weight modules over the Hopf–Ore extensions of group algebras
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DOI: 10.1080/00927872.2017.1350697
Abstract: ABSTRACT In this paper, we investigate the tensor structure of the category of finite- dimensional weight modules over the Hopf–Ore extensions kG(χ−1,a,0) of group algebras kG. The tensor product decomposition rules for all indecomposable weight… read more here.
Keywords: group algebras; weight modules; extensions group; hopf ore ... See more keywords
Hopf Quasimodules and Yetter-Drinfeld Modules over Hopf Quasigroups
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DOI: 10.1142/s1005386721000183
Abstract: We introduce the notions of a four-angle Hopf quasimodule and an adjoint quasiaction over a Hopf quasigroup H in a symmetric monoidal category C. If H possesses an adjoint quasiaction, we show that... read more here.
Keywords: hopf quasigroups; quasimodules yetter; hopf quasimodules; drinfeld modules ... See more keywords
Gorenstein Flat Modules of Hopf-Galois Extensions
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DOI: 10.3390/math11112542
Abstract: Let A/B be a right H-Galois extension over a semisimple Hopf algebra H. The purpose of this paper is to give the relationship of Gorenstein flat dimensions between the algebra A and its subalgebra B,… read more here.
Keywords: flat modules; hopf galois; gorenstein flat; modules hopf ... See more keywords