English

Pointed Hopf Algebras of Discrete Corepresentation Type

Representation Theory 2022-11-02 v1 Rings and Algebras

Abstract

We classify pointed Hopf algebras of discrete corepresentation type over an algebraically closed field K with characteristic zero. For such algebras HH, we explicitly determine the algebra structure up to isomorphism for the link indecomposable component BB containing the unit. It turns out that HH is a crossed product of BB and a certain group algebra.

Keywords

Cite

@article{arxiv.2211.00507,
  title  = {Pointed Hopf Algebras of Discrete Corepresentation Type},
  author = {Miodrag Iovanov and Emre Sen and Alexander Sistko and Shijie Zhu},
  journal= {arXiv preprint arXiv:2211.00507},
  year   = {2022}
}

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