Launois, S. and Richard, L.
(2009)
*Poisson(co)homology of truncated polynomial algebras in two variables.*
Comptes Rendus Mathematique, 347
(3-4).
pp. 133-138.
ISSN 1631-073X .
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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 |
---|---|

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: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics |

Depositing User: | Stephane Launois |

Date Deposited: | 25 Sep 2009 10:57 |

Last Modified: | 25 Sep 2009 10:57 |

Resource URI: | http://kar.kent.ac.uk/id/eprint/17522 (The current URI for this page, for reference purposes) |

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