对偶Radford代数上有限维Hopf代数的分类

Pub Date : 2022-09-15 DOI:10.36045/j.bbms.210612

Rongchuan Xiong, N. Hu

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引用次数: 1

摘要

．在特征为0的代数闭域上，我们确定并分类了所有有限维Hopf代数，它们的Hopf根同构于素数p > 5的4p的对偶Radford代数。特别地，我们得到了不具有对偶Chevalley性质的有限维Hopf代数的新实例族。

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Classification of finite-dimensional Hopf algebras over dual Radford algebras

. 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 4 p 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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