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arXiv · 2209.12518

Classification of finite-dimensional Hopf algebras over dual Radford algebras

Rongchuan Xiong·Naihong Hu
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Abstract

We determine and classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero whose Hopf coradicals are isomorphic to dual Radford algebras of dimension $4p$ for a prime $p>5$. In particular, we obtain families of new examples of finite-dimensional Hopf algebras without the dual Chevalley property.

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Rongchuan Xiong, Naihong Hu. 2022-09-26. Classification of finite-dimensional Hopf algebras over dual Radford algebras. https://doi.org/10.36045/j.bbms.210612

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