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On Semisimple Hopf algebras of dimension pq

Shlomo Gelaki, Sara Westreich

math.QAarXiv:math/9801128

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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