Hochschild (co)homology of exterior algebras
Rings and Algebras
2007-05-23 v2 Representation Theory
Abstract
The minimal projective bimodule resolutions of the exterior algebras are explicitly constructed. They are applied to calculate the Hochschild (co)homology of the exterior algebras. Thus the cyclic homology of the exterior algebras can be calculated in case the underlying field is of characteristic zero. Moreover, the Hochschild cohomology rings of the exterior algebras are determined by generators and relations.
Keywords
Cite
@article{arxiv.math/0504352,
title = {Hochschild (co)homology of exterior algebras},
author = {Yang Han and Yunge Xu},
journal= {arXiv preprint arXiv:math/0504352},
year = {2007}
}
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21 pages