论文标题

双重雷德福德代数的有限维霍夫代数分类

Classification of finite-dimensional Hopf algebras over dual Radford algebras

论文作者

Xiong, Rongchuan, Hu, Naihong

论文摘要

我们确定并将所有有限维的HOPF代数分类在一个代数封闭的特征零字段上,其Hopf Coradicals对prime $ p> 5 $的双dime $ 4p $ 4p $ 4p $ 4p $ 4p $ 4p $ 4p $ 4p $ 4p。特别是,我们获得了有限维霍夫(Hopf)代数的新例子,而没有双重雪佛兰财产。

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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