Poisson (co)homology of truncated polynomial algebras in two variables |
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| Authors: | Stéphane Launois Lionel Richard |
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| Institution: | 1. Institute of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury CT2 7NF, UK;2. School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, UK |
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| 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). |
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