Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities

2003/10/13 by Iain J. Gordon, Iain Gordon, Gordon, Iain +2 · 2 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT

paper · pdf · doi:10.48550/arxiv.math/0310187

References added and some typos corrected

openalex publication_date 2003/10/13 · arxiv created 2003/11/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an equivalence of triangulated categories between the derived category of finitely generated representations of symplectic reflection algebras associated with wreath products (with parameter t=0) and the derived category of coherent sheaves on a crepant resolution of the spectrum of the centre of these algebras.

Cited by

• On flat deformations and their applications
• On constructing deformations of noncommutative algebras

Related

• Symplectic reflection algebras
• Derived equivalences for Symplectic reflection algebras
• Symplectic reflection algebras and affine Lie algebras
• Procesi bundles and Symplectic reflection algebras
• Reflection functors and symplectic reflection algebras for wreath products