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2008 Homology and cohomology of quantum complete intersections
Petter Bergh, Karin Erdmann
Algebra Number Theory 2(5): 501-522 (2008). DOI: 10.2140/ant.2008.2.501

Abstract

We construct a minimal projective bimodule resolution for every finite-dimensional quantum complete intersection of codimension two. Then we use this resolution to compute both the Hochschild cohomology and homology for such an algebra. In particular, we show that the cohomology vanishes in high degrees, while the homology is always nonzero.

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Petter Bergh. Karin Erdmann. "Homology and cohomology of quantum complete intersections." Algebra Number Theory 2 (5) 501 - 522, 2008. https://doi.org/10.2140/ant.2008.2.501

Information

Received: 15 October 2007; Revised: 29 May 2008; Accepted: 7 June 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1205.16011
MathSciNet: MR2429451
Digital Object Identifier: 10.2140/ant.2008.2.501

Subjects:
Primary: 16E40
Secondary: 16S80, 16U80, 81R50

Rights: Copyright © 2008 Mathematical Sciences Publishers

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