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Published in 2019 at "Algebras and Representation Theory"
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…
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Keywords:
hopf;
hopf algebra;
extensions hopf;
hopf ore ... See more keywords
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Published in 2018 at "Journal of Algebra"
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…
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Keywords:
hopf;
ore extension;
hopf ore;
generalized hopf ... See more keywords
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Published in 2018 at "Communications in Algebra"
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…
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Keywords:
group algebras;
weight modules;
extensions group;
hopf ore ... See more keywords