Cartan-Leray spectral sequence for Galois coverings of linear categories

Abstract

We provide a Cartan-Leray type spectral sequence for the Hochschild-Mitchell (co)homology of a Galois covering of linear categories. We infer results relating the Galois group and Hochschild cohomology in degree one.

Cited by in corpus (2)

• Hochschild Cohomology of skew group rings and invariants
• Skew category, Galois covering and smash product of a $k$-category