English

On Semisimple Hopf algebras of dimension pq

Quantum Algebra 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9801128,
  title  = {On Semisimple Hopf algebras of dimension pq},
  author = {Shlomo Gelaki and Sara Westreich},
  journal= {arXiv preprint arXiv:math/9801128},
  year   = {2007}
}

Comments

9 pages, latex