Semisimple Hopf algebras of dimension $9q^2$ and high-dimensional semisimple Hopf algebras of Frobenius type

Details Semisimple Hopf algebras of dimension $9q^2$ and high-dimensional semisimple Hopf algebras of Frobenius type Semisimple Hopf algebras of dimension $9q^2$ and high-dimensional semisimple Hopf algebras of Frobenius type

2011-03-26

arxiv.org/abs/1103.5117v2

Mathematics

Rings and Algebras

The present paper is not well written. The author has rewritten it, and the result is that this paper will be contained in ano

Scientific paper

Let $k$ be an algebraically closed field of characteristic 0. In this paper,
we obtain the structure theorems for semisimple Hopf algebras of dimension
$9q^2$ over $k$, where $q$ is a prime number. We also prove that
odd-dimensional semisimple Hopf algebras over $k$ of dimension less than 600
are of Frobenius type.

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