Idempotent (co)algebras and generalizations of Hochschild cohomology

Abstract: In this talk I will discuss the notion of an idempotent (co)algebra (or perhaps more descriptively, idempotent *dg* (co)algebra). The two-sided bar complex of an algebra gives an especially important class of examples, but there is a plethora of other examples appearing throughout mathematics. I will describe how the endomorphism algebra of an idempotent (co)algebra naturally admits the structure of a Gerstenhaber algebra, generalizing a well known structure on Hochschild cohomology.

combinatoricscategory theoryrepresentation theory

Audience: researchers in the topic

( slides )

The TRAC Seminar - Théorie de Représentations et ses Applications et Connections