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
Institutional Unit:	Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences
Former Institutional Unit:	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:	20 May 2025 11:32 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/17522 (The current URI for this page, for reference purposes)

University of Kent Author Information

Launois, Stephane.

Creator's ORCID:	https://orcid.org/0000-0001-7252-8515
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