English

Operations on the Secondary Hochschild Cohomology

Rings and Algebras 2014-04-11 v1

Abstract

We show that the secondary Hochschild cohomology associated to a triple (A,B,ε)(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 BB-algebras, and give a Hodge type decomposition of the secondary Hochschild cohomology.

Keywords

Cite

@article{arxiv.1404.2667,
  title  = {Operations on the Secondary Hochschild Cohomology},
  author = {Mihai D. Staic and Alin Stancu},
  journal= {arXiv preprint arXiv:1404.2667},
  year   = {2014}
}