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• W2080785559 abstract "In this paper, we prove the existence of isomorphisms between certain non-commutative algebras that are interesting from the representation theoretic perspective and arise as quantizations of certain Poisson algebras. We show that quantizations of Kleinian singularities obtained by three different constructions are isomorphic to each other. The constructions are via symplectic reflection algebras, quantum Hamiltonian reduction, and W-algebras. Next, we prove that parabolic W-algebras in type A are isomorphic to quantum Hamiltonian reductions associated to quivers of type A. Finally, we show that the symplectic reflection algebras for wreath-products of the symmetric group and a Kleinian group are isomorphic to certain quantum Hamiltonian reductions. Our results involving W-algebras are new, while for those dealing with symplectic reflection algebras we just find new proofs. A key ingredient in our proofs is the study of quantizations of symplectic resolutions of appropriate Poisson varieties." @default.
• W2080785559 created "2016-06-24" @default.
• W2080785559 creator A5060786290 @default.
• W2080785559 date "2012-10-01" @default.
• W2080785559 modified "2023-09-30" @default.
• W2080785559 title "Isomorphisms of quantizations via quantization of resolutions" @default.
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• W2080785559 doi "https://doi.org/10.1016/j.aim.2012.06.017" @default.
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