Geodesic
Operations on the secondary Hochschild cohomology
Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 129-146.

Voir la notice de l'article provenant de la source International Press of Boston

We show that the secondary Hochschild cohomology associated to a triple $(A,B, \epsilon)$ has several of the properties of the usual Hochschild cohomology. Among others, we prove that the total secondary Hochschild complex is a multiplicative nonsymmetric operad, discuss the connection with extensions of $B$-algebras, and give a Hodge-type decomposition of the secondary Hochschild cohomology.
DOI : 10.4310/HHA.2015.v17.n1.a6
Classification : 16E40, 16S80
Keywords: Hochschild cohomology, deformation of algebras 
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     title = {Operations on the secondary {Hochschild} cohomology},
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Mihai D. Staic; Alin Stancu. Operations on the secondary Hochschild cohomology. Homology, homotopy, and applications, Tome 17 (2015) no. 1, pp. 129-146. doi : 10.4310/HHA.2015.v17.n1.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2015.v17.n1.a6/

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