Homology, Homotopy and Applications
Volume 17 (2015)
Operations on the secondary Hochschild cohomology
Pages: 129 – 146
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.
Hochschild cohomology, deformation of algebras
2010 Mathematics Subject Classification
Primary 16E40. Secondary 16S80.