Automorphism group of representation ring of the weak Hopf algebra H 8 ˜

Dong Su; Shilin Yang

Czechoslovak Mathematical Journal (2018)

  • Volume: 68, Issue: 4, page 1131-1148
  • ISSN: 0011-4642

Abstract

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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 H 8 ˜ based on H 8 , then we investigate the structure of the representation ring of H 8 ˜ . Finally, we prove that the automorphism group of r ( H 8 ˜ ) is just isomorphic to D 6 , where D 6 is the dihedral group with order 12.

How to cite

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Su, Dong, and Yang, Shilin. "Automorphism group of representation ring of the weak Hopf algebra $\widetilde{H_8}$." Czechoslovak Mathematical Journal 68.4 (2018): 1131-1148. <http://eudml.org/doc/294302>.

@article{Su2018,
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.},
author = {Su, Dong, Yang, Shilin},
journal = {Czechoslovak Mathematical Journal},
keywords = {automorphism group; representation ring; weak Hopf algebra},
language = {eng},
number = {4},
pages = {1131-1148},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Automorphism group of representation ring of the weak Hopf algebra $\widetilde\{H_8\}$},
url = {http://eudml.org/doc/294302},
volume = {68},
year = {2018},
}

TY - JOUR
AU - Su, Dong
AU - Yang, Shilin
TI - Automorphism group of representation ring of the weak Hopf algebra $\widetilde{H_8}$
JO - Czechoslovak Mathematical Journal
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 68
IS - 4
SP - 1131
EP - 1148
AB - 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.
LA - eng
KW - automorphism group; representation ring; weak Hopf algebra
UR - http://eudml.org/doc/294302
ER -

References

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