Automorphism group of representation ring of the weak Hopf algebra $\widetilde {H_8}$

Su, Dong   ; Yang, Shilin

Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 1131-1148

Abstract (VO)

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.

Détail

DOI : 10.21136/CMJ.2018.0131-17

Classification : 16W20, 19A22
Keywords: automorphism group; representation ring; weak Hopf algebra

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