Cohomology of algebras over weak Hopf algebras

Abstract

In this paper we present the Sweedler cohomology for a cocommutative weak Hopf algebra H. We show that the second cohomology group classifies completely the weak crossed products, having a common preunit, of H with a commutative left H-module algebra A.

Cited by in corpus (1)

• Integrals and crossed products over weak Hopf algebras