On Hopf algebras of dimension pq
Quantum Algebra
2007-05-23 v1
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.
Cite
@article{arxiv.math/0303359,
title = {On Hopf algebras of dimension pq},
author = {Pavel Etingof and Shlomo Gelaki},
journal= {arXiv preprint arXiv:math/0303359},
year = {2007}
}
Comments
6 pages, latex