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arXiv · 1809.00766

Grothendieck Rings of 2$n^2$ dimensional Hopf Algebras $H_{2n^2}$

Jialei Chen·Shilin Yang·Dingguo Wang
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Abstract

In this paper, we construct the Grothendieck ring of a class of 2$n^2$-dimension semisimple Hopf Algebras $H_{2n^2}$, which can be viewed as a generalization of the 8-dimension Kac-Paljutkin Hopf algebra $K_8$. All irreducible $H_{2n^2}$-modules are classified. Furthermore, we describe the Grothendieck ring $r(H_{2n^2})$ by generators and relations explicitly.

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Jialei Chen, Shilin Yang, Dingguo Wang. 2018-09-04. Grothendieck Rings of 2$n^2$ dimensional Hopf Algebras $H_{2n^2}$. https://doi.org/10.1007/s11464-021-0893-x

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