## Homology, Homotopy and Applications

### Cohomology of algebras over weak Hopf algebras

#### 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 $A$.

#### Article information

Source
Homology Homotopy Appl., Volume 16, Number 1 (2014), 341-369.

Dates
First available in Project Euclid: 3 June 2014