Czechoslovak Mathematical Journal, Vol. 68, No. 4, pp. 1131-1148, 2018
Automorphism group of representation ring of the weak Hopf algebra $\widetilde{H_8}$
Dong Su, Shilin Yang
Received March 22, 2017. First published February 2, 2018.
Abstract: Let $H_8$ be the unique noncommutative and noncocommutative eight dimensional semi-simple Hopf algebra. We first construct a weak Hopf algebra $\widetilde{H_8}$ based on $H_8$, then we investigate the structure of the representation ring of $\widetilde{H_8}$. Finally, we prove that the automorphism group of $r(\widetilde{H_8})$ is just isomorphic to $D_6$, where $D_6$ is the dihedral group with order 12.
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Affiliations: Dong Su, Shilin Yang (corresponding author), College of Applied Sciences, Beijing University of Technology, 100 Ping Le Yuan, Beijing 100124, Chaoyang, P. R. China, e-mail: ynsudong@emails.bujt.edu.cn, slyang@bjut.edu.cn
