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On Semisimple Hopf algebras of dimension pq

Shlomo Gelaki·Sara Westreich
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Abstract

In this paper we consider some properties of semisimple Hopf algebras of dimension pq where p and q are distinct primes. These properties are useful for classification of such Hopf algebras. In particular, we show that for such a Hopf algebra H, if H and H^* are of Frobenius type then H or H^* is a group algebra.

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Shlomo Gelaki, Sara Westreich. 1998-01-28. On Semisimple Hopf algebras of dimension pq. https://arxiv.org/abs/math/9801128

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