Hopf algebras of dimension pq, II

Abstract

Let H be a Hopf algebra of dimension pq over an algebraically closed field of characteristic zero, where p, q are odd primes with p < q < 4p+12. We prove that H is semisimple and thus isomorphic to a group algebra, or the dual of a group algebra.

14pp, Latex

References in corpus (3)

• Non-semisimple Hopf Algebras of Dimension p^2
• Hopf algebras of dimension 2p
• Hopf Algebras of Dimension $pq$

Cited by in corpus (5)

• On Hopf algebras of dimension 4p
• Classification of pointed Hopf algebras of dimension $p^2$ over any algebraically closed field
• Hopf algebras of prime dimension in positive characteristic
• Nonsemisimple Hopf algebras of dimension 8p with the Chevalley property
• Block Systems of finite dimensional non-cosemisimple Hopf Algebras