On some classification of finite-dimensional Hopf algebras over the Hopf algebra Hb:1* of Kashina-Reference-Cited by-同舟云学术

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On some classification of finite-dimensional Hopf algebras over the Hopf algebra Hb:1* of Kashina

Published:2022-07-24 Issue:1 Volume:51 Page:350-371
ISSN:0092-7872
Container-title:Communications in Algebra
language:en
Short-container-title:Communications in Algebra

Author:

Zheng Yiwei¹,Gao Yun²,Hu Naihong³,Shi Yuxing⁴^ORCID

Affiliation:

1. School of Mathematics, Hangzhou Normal University, Hangzhou, China

2. Department of Mathematics and Statistics, York University, Toronto, Canada

3. School of Mathematical Sciences, Shanghai Key Laboratory of PMMP, East China Normal University, Shanghai, China

4. School of Mathematics and Statistics, Jiangxi Normal University, Nanchang, China

Funder

NSERC of Canada the NSFC

NSFC

Science and Technology Commission of Shanghai Municipality

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Link

https://www.tandfonline.com/doi/pdf/10.1080/00927872.2022.2099551

Reference32 articles.

1. Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I. Non-semisimple classes inPSLn(q)

2. Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II: Unipotent classes in symplectic groups

3. Pointed Hopf algebras over some sporadic simple groups

4. Finite-dimensional pointed Hopf algebras with alternating groups are trivial

5. Examples of finite-dimensional Hopf algebras with the dual Chevalley property

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some classifications of finite-dimensional Hopf algebras over Ha:y of Kashina;Journal of Algebra and Its Applications;2024-05-11

2. On Hopf algebras whose coradical is a cocentral abelian cleft extension;Communications in Algebra;2024-02-21

3. On the structure of irreducible Yetter-Drinfeld modules over $ D $;AIMS Mathematics;2024

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