Abstract
We give a new proof and an improvement of two Theorems of J. Alev, M.A. Farinati, T. Lambre and A.L. Solotar [1] : 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 a consequence, we then give a new proof of a Theorem of P. Etingof and V. Ginzburg (Invent Math 147:243–348, 2002), which shows that the Symplectic Reflection Algebras are deformations of G * W (and, in fact, all possible ones).
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Dedicated to my friend J.-C. Cortet.
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Pinczon, G. On Two Theorems about Symplectic Reflection Algebras. Lett Math Phys 82, 237–253 (2007). https://doi.org/10.1007/s11005-007-0190-y
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DOI: https://doi.org/10.1007/s11005-007-0190-y