JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (11): 61-70.doi: 10.6040/j.issn.1671-9352.0.2022.411

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Automorphism group of Green algebra of 8-dimensional Radford Hopf algebra

Hua SUN1(),Jian ZOU1,*(),Ruju ZHAO2   

  1. 1. School of Mathematical Science, Yangzhou University, Yangzhou 225002, Jiangsu, China
    2. College of Science, Beibu Gulf University, Qinzhou 535011, Guangxi, China
  • Received:2022-07-28 Online:2023-11-20 Published:2023-11-07
  • Contact: Jian ZOU E-mail:huasun@yzu.edu.cn;491911754@qq.com

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Abstract:

Let R22(-1) be the 8-dimensional Radford Hopf algebra, r(R22(-1)) be the Green ring of R22(-1) and F(R22(-1)) : =r(R22(-1))⊗zF represent the Green algebra of R22(-1) over a field F with the char F≠2. It is proved that the automorphism group of F(R22(-1)) is the semidirect product of S3 and G, where G=F\{1/2}is a group with multiplication given by a·b=1-a-b+2ab.

Key words: Hopf algebra, Green algebra, automorphism group

CLC Number: 

  • O153.3
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