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 - mariano@dm.ub.ar
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.