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arXiv · 1110.2273

On semisimple Hopf algebras of dimension $2q^3$

Jingcheng Dong·Shuanhong Wang
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Abstract

Let $q$ be a prime number, $k$ an algebraically closed field of characteristic 0, and $H$ a semisimple Hopf algebra of dimension $2q^3$. This paper proves that $H$ is always semisolvable. That is, such Hopf algebras can be obtained by (a number of) extensions from group algebras or duals of group algebras.

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Jingcheng Dong, Shuanhong Wang. 2013-08-15. On semisimple Hopf algebras of dimension $2q^3$. https://doi.org/10.1016/j.jalgebra.2012.11.021

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