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On Hopf algebras of dimension pq

Pavel Etingof·Shlomo Gelaki
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Abstract

In this paper we contribute to the classification of Hopf algebras of dimension pq, where p,q are distinct prime numbers. More precisely, we prove that if p and q are odd primes with p<q<2p+3, then any complex Hopf algebra of dimension pq is semisimple and hence isomorphic to either a group algebra or to the dual of a group algebra by the previous works math.QA/9801129 and math.QA/9801128.

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Pavel Etingof, Shlomo Gelaki. 2003-03-27. On Hopf algebras of dimension pq. https://arxiv.org/abs/math/0303359

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