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arXiv · 1404.2667

Operations on the Secondary Hochschild Cohomology

Mihai D. Staic·Alin Stancu
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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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Mihai D. Staic, Alin Stancu. 2014-04-10. Operations on the Secondary Hochschild Cohomology. https://arxiv.org/abs/1404.2667

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