Operations on the Secondary Hochschild Cohomology

Published 10 Apr 2014 in math.RA | (1404.2667v1)

Abstract: We show that the secondary Hochschild cohomology associated to a triple $(A,B,\varepsilon)$ has several of the properties of the usual Hochschild cohomology. Among others, we prove the existence of the cup and Lie products, discuss the connection with extensions of $B$-algebras, and give a Hodge type decomposition of the secondary Hochschild cohomology.

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