Completions of symplectic reflection algebras

Abstract

In this paper we study the structure of completions of symplectic reflection algebras. Our results provides a reduction to smaller algebras. We apply this reduction to the study of two-sided ideals and Harish-Chandra bimodules.

preliminary version, 49 pages, v2; 56 pages, significant changes, new Section added; v3, 61 pages, more material in Section 5; v4, 62 pages, some changes: Subsection 4.3 was moved to Section 5. To appear in Selecta Math

References in corpus (2)

• On the structure of the category O for W-algebras
• Poisson traces and D-modules on Poisson varieties

Cited by in corpus (3)

• On category O for cyclotomic rational Cherednik algebras
• Traces on the Algebra of Observables of Rational Calogero Model based on the Root System
• Isomorphisms of quantizations via quantization of resolutions