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

Published 21 Apr 2016 in math.KT | (1604.06507v1)

Abstract: We show that the action of the Lie algebra HH1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH*(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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