On Two Theorems About Symplectic Reflection Algebras

Abstract : We give a new proof and an improvement of two Theorems of J. Alev, M.A. Farinati, T. Lambre and A.L. Solotar : the first one about Hochschild cohomology spaces of some twisted bimodules of the Weyl algebra W and the second one about Hochschild cohomology spaces of the smash product G * W (G a finite subgroup of SP(2n)), and as an application, we then give a new proof of a Theorem of P. Etingof and V. Ginzburg, which shows that the Symplectic Reflection Algebras are deformations of G * W (and, in fact, all possible ones).
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https://hal.archives-ouvertes.fr/hal-00439001
Contributor : Georges Pinczon <>
Submitted on : Saturday, December 5, 2009 - 6:05:35 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM

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Georges Pinczon. On Two Theorems About Symplectic Reflection Algebras. Letters in Mathematical Physics, Springer Verlag, 2007, 82 (2-3), pp.237. ⟨10.1007/S11005-007-0190-y⟩. ⟨hal-00439001⟩

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