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 weak crossed products, having a common preunit, of $H$ with a commutative left $H$-module algebra $A$.
Citation
J. N. Alonso Álvarez. J. M. Fernández Vilaboa. R. González Rodríguez. "Cohomology of algebras over weak Hopf algebras." Homology Homotopy Appl. 16 (1) 341 - 369, 2014.
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