Classification of finite-dimensional Hopf algebras over dual Radford algebras

Rongchuan Xiong; Naihong Hu

doi:10.36045/j.bbms.210612

Classification of finite-dimensional Hopf algebras over dual Radford algebras

Rongchuan Xiong
, Naihong Hu

数学科学学院

School of Computer Science and Artificial Inteligent
Changzhou University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	633-688
页数	56
期刊	Bulletin of the Belgian Mathematical Society - Simon Stevin
卷	28
期	5
DOI	https://doi.org/10.36045/j.bbms.210612
出版状态	已出版 - 9月 2022

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10.36045/j.bbms.210612

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AU - Hu, Naihong

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AB - 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.

KW - Dual Chevalley property

KW - Dual Radford algebra

KW - Hopf algebra

KW - Nichols algebra

UR - https://www.scopus.com/pages/publications/85145002238

U2 - 10.36045/j.bbms.210612

DO - 10.36045/j.bbms.210612

M3 - 文章

AN - SCOPUS:85145002238

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Classification of finite-dimensional Hopf algebras over dual Radford algebras

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