On Two Theorems About Symplectic Reflection Algebras

Details On Two Theorems About Symplectic Reflection Algebras On Two Theorems About Symplectic Reflection Algebras

2006-12-22

arxiv.org/abs/math/0612690v2

Mathematics

Representation Theory

corrected typos

Scientific paper

10.1007/s11005-007-0190-y

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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