Secondary Hochschild cohomology and derivations
Commutative Algebra
2023-02-24 v1 Rings and Algebras
Abstract
In this paper, we introduce a generalization of derivations. Using these so-called secondary derivations, along with an analogue of Connes' Long Exact Sequence, we are able to provide computations in low dimension for the secondary Hochschild and cyclic cohomologies associated to a commutative triple. We then establish a universal property, which paves the way to relating secondary K\"ahler differentials with the aforementioned secondary derivations.
Keywords
Cite
@article{arxiv.2302.11620,
title = {Secondary Hochschild cohomology and derivations},
author = {Kylie Bennett and Elizabeth Heil and Jacob Laubacher},
journal= {arXiv preprint arXiv:2302.11620},
year = {2023}
}
Comments
9 pages, comments welcome