Gerstenhaber-Schack diagram cohomology from operadic point of view

Abstract

We show that the operadic cohomology for any type of algebras over a non-symmetric operad A can be computed as Ext in the category of operadic A-modules. We use this principle to prove that the Gerstenhaber-Schack diagram cohomology is operadic cohomology.

37 pages

References in corpus (1)

• Deformation theory of representations of prop(erad)s

Cited by in corpus (1)

• On resolutions of diagrams of algebras