Semisimple Hopf algebras of dimension 9q² and high-dimensional semisimple Hopf algebras of Frobenius type

2011/03/26 by Jingcheng Dong, Dong, Jingcheng · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Finite Group Theory Research #math.RA #msc:16W30

paper · pdf · doi:10.48550/arxiv.1103.5117

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

arxiv created 2012/01/01 · arxiv updated 2012/01/04

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 9q² 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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