A Localization Theorem for Finite W-algebras

Abstract

Following the work of Beilinson-Bernstein and Kashiwara-Rouquier, we give a geometric interpretation of certain categories of modules over the finite W-algebra. As an application we reprove the Skryabin equivalence.

Preliminary Version. Comments Welcome

References in corpus (3)

• Harish-Chandra bimodules for quantized Slodowy slices
• Deformation quantization modules I:Finiteness and duality
• On the attosecond laser pulse tissue interaction

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• Injectivity of a certain cycle map for finite dimensional W-algebras
• Localization of quantum biequivariant D-modules and q-W algebras
• Localization theorems for quantized symplectic resolutions