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arXiv · 1101.1568

Structure of semisimple Hopf algebras of dimension $p^2q^2$, II

Jingcheng Dong
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Abstract

Let $k$ be an algebraically closed field of characteristic $0$. In this paper, we obtain the structure theorems for semisimple Hopf algebras of dimension $p^2q^2$ over $k$, where $p,q$ are prime numbers with $p^2<q$. As an application, we also obtain the structure theorems for semisimple Hopf algebras of dimension $9p^2$ and $25q^2$ for all primes $3\neq p$ and $5\neq q$.

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Jingcheng Dong. 2011-01-08. Structure of semisimple Hopf algebras of dimension $p^2q^2$, II. https://arxiv.org/abs/1101.1568

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