English

On Hopf algebras over basic Hopf algebras of dimension 24

Quantum Algebra 2022-09-05 v2

Abstract

We determine finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero, whose Hopf coradical is isomorphic to a non-pointed basic Hopf algebra of dimension 2424 and the infinitesimal braidings are indecomposable objects. In particular, we obtain families of new finite-dimensional Hopf algebras without the dual Chevalley property.

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Cite

@article{arxiv.1809.03938,
  title  = {On Hopf algebras over basic Hopf algebras of dimension 24},
  author = {Rongchuan Xiong},
  journal= {arXiv preprint arXiv:1809.03938},
  year   = {2022}
}

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22 pages