Geodesic
Cohomology of algebras over weak Hopf algebras
Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 341-369.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2014.v16.n1.a19
Classification : 16S40, 16T05, 18D10, 57T05
Keywords: weak Hopf algebra, Sweedler cohomology, weak crossed product 
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     title = {Cohomology of algebras over weak {Hopf} algebras},
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J. N. Alonso Álvarez; J. M. Fernández Vilaboa; R. González Rodríguez. Cohomology of algebras over weak Hopf algebras. Homology, homotopy, and applications, Tome 16 (2014) no. 1, pp. 341-369. doi : 10.4310/HHA.2014.v16.n1.a19. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n1.a19/

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