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Automorphism group of representation ring of the weak Hopf algebra $\widetilde {H_8}$
Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 1131-1148 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/CMJ.2018.0131-17
Classification : 16W20, 19A22
Keywords: automorphism group; representation ring; weak Hopf algebra 
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     title = {Automorphism group of representation ring of the weak {Hopf} algebra $\widetilde {H_8}$},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1131--1148},
     year = {2018},
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Su, Dong; Yang, Shilin. Automorphism group of representation ring of the weak Hopf algebra $\widetilde {H_8}$. Czechoslovak Mathematical Journal, Tome 68 (2018) no. 4, pp. 1131-1148. doi: 10.21136/CMJ.2018.0131-17

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