Hopf Ore Extensions
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DOI: 10.1007/s10468-019-09901-8
Abstract: Brown, O’Hagan, Zhang, and Zhuang gave a set of conditions on an automorphism σ and a σ-derivation δ of a Hopf k-algebra R for when the skew polynomial extension T = R[x,σ,δ] of R admits… read more here.
Keywords: hopf; hopf algebra; extensions hopf; hopf ore ... See more keywords
Generalized Hopf–Ore extensions
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DOI: 10.1016/j.jalgebra.2018.04.032
Abstract: We derive necessary and sufficient conditions for an Ore extension of a Hopf algebra to have a Hopf algebra structure of a certain type. This construction generalizes the notion of Hopf-Ore extension, called a generalized… read more here.
Keywords: hopf; ore extension; hopf ore; generalized hopf ... See more keywords
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