Hopf algebras of prime dimension in positive characteristic
/ Authors
/ Abstract
We prove that a Hopf algebra of prime dimension p over an algebraically closed field, whose characteristic is equal to p , is either a group algebra or a restricted universal enveloping algebra. Moreover, we show that any Hopf algebra of prime dimension p over a field of characteristic q>0 is commutative and cocommutative when q=2 or p<4q . This problem remains open in positive characteristic when 2
Journal: Bulletin of the London Mathematical Society
DOI: 10.1112/blms.12242