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Hopf algebras of dimension
Authors:Siu-Hung Ng
Affiliation:Department of Mathematics, Iowa State University, Ames, Iowa 50011
Abstract:Let $H$ be a finite-dimensional Hopf algebra over an algebraically closed field of characteristic 0. If $H$ is not semisimple and $dim(H)=2n$ for some odd integer $n$, then $H$ or $H^*$ is not unimodular. Using this result, we prove that if $dim(H)=2p$ for some odd prime $p$, then $H$ is semisimple. This completes the classification of Hopf algebras of dimension $2p$.

Keywords:Finite-dimensional Hopf algebras
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