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Poisson(co)homology of truncated polynomial algebras in two variables

Launois, Stephane, Richard, Lionel (2009) Poisson(co)homology of truncated polynomial algebras in two variables. Comptes Rendus Mathematique, 347 (3-4). pp. 133-138. ISSN 1631-073X. (doi:10.1016/j.crma.2008.12.005) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:17522)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
http://dx.doi.org/10.1016/j.crma.2008.12.005

Abstract

We study the Poisson (co)homology of the algebra of truncated polynomials in two variables viewed as the semi-classical limit of a quantum complete intersection studied by Bergh and Erdmann. We show in particular that the Poisson cohomology ring of such a Poisson algebra is isomorphic to the Hochschild cohomology ring of the corresponding quantum complete intersection. To cite this article: S. Launois, L. Richard, C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Item Type: Article
DOI/Identification number: 10.1016/j.crma.2008.12.005
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Q Science > QA Mathematics (inc Computing science) > QA252 Lie algebras
Q Science > QA Mathematics (inc Computing science) > QA252 Lie algebras
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Stephane Launois
Date Deposited: 25 Sep 2009 10:57 UTC
Last Modified: 05 Nov 2024 09:53 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/17522 (The current URI for this page, for reference purposes)

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