Homology, Homotopy and Applications
- Homology Homotopy Appl.
- Volume 16, Number 1 (2014), 341-369.
Cohomology of algebras over weak Hopf algebras
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 $A$.
Homology Homotopy Appl., Volume 16, Number 1 (2014), 341-369.
First available in Project Euclid: 3 June 2014
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57T05: Hopf algebras [See also 16T05] 18D10: Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories [See also 19D23] 16T05: Hopf algebras and their applications [See also 16S40, 57T05] 16S40: Smash products of general Hopf actions [See also 16T05]
Álvarez, J. N. Alonso; Vilaboa, J. M. Fernández; Rodríguez, R. González. Cohomology of algebras over weak Hopf algebras. Homology Homotopy Appl. 16 (2014), no. 1, 341--369. https://projecteuclid.org/euclid.hha/1401800087