The Multiplicative Structure on Hochschild Cohomology of a Complete Intersection
Commutative Algebra
2014-01-13 v1 Algebraic Geometry
Representation Theory
Abstract
We determine the product structure on Hochschild cohomology of commutative algebras in low degrees, obtaining the answer in all degrees for complete intersection algebras. As applications, we consider cyclic extension algebras as well as Hochschild and ordinary cohomology of finite abelian groups.
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Cite
@article{arxiv.1401.2170,
title = {The Multiplicative Structure on Hochschild Cohomology of a Complete Intersection},
author = {Ragnar-Olaf Buchweitz and Collin Roberts},
journal= {arXiv preprint arXiv:1401.2170},
year = {2014}
}
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29 pages