Hochschild cohomology of twisted tensor products
Rings and Algebras
2020-05-05 v1 Representation Theory
Abstract
For a tensor product of algebras twisted by a bicharacter, we completely describe its Hochschild cohomology, as a Gerstenhaber algebra, in terms of the Hochschild cohomology of its component parts. This description generalizes a result of Bergh and Oppermann. It allows us to significantly simplify various calculations in the literature, and to compute Hochschild cohomology for a number of new examples.
Cite
@article{arxiv.2005.01087,
title = {Hochschild cohomology of twisted tensor products},
author = {Benjamin Briggs and Sarah Witherspoon},
journal= {arXiv preprint arXiv:2005.01087},
year = {2020}
}
Comments
20 pages