Cohomology of algebras over weak Hopf algebras

2012/06/18 by J. N. Alonso Alvarez, Alvarez, J. N. Alonso, J. M. Fernandez Vilaboa +3
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CT #math.QA

paper · pdf · doi:10.48550/arxiv.1206.3850

arxiv created 2013/02/27 · arxiv updated 2013/02/28

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.

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