Cohomology of algebras over weak Hopf algebras

math.QA

/ Authors

J. N. Alonso Alvarez, J. M. Fernandez Vilaboa, R. Gonzalez Rodriguez

/ 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.

Cohomology of algebras over weak Hopf algebras

math.QA

/ Authors

J. N. Alonso Alvarez, J. M. Fernandez Vilaboa, R. Gonzalez Rodriguez

/ 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.