Conference abstracts

Session S11 - Representations of Algebras

July 26, 16:00 ~ 16:50

A little bit of extra functoriality for Ext and the computation of the Gerstenhaber bracket

Mariano Suárez-Álvarez

Universidad de Buenos Aires — CONICET, Argentina   -

We show that the action of the Lie algebra $HH^1(A)$ of outer derivations of an associative algebra $A$ on the Hochschild cohomology $HH^\bullet(A)$ of $A$ given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective resolution of $A$ as an $A$-bimodule, without having recourse to comparison maps between the resolution and the bar resolution.

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