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

Gordon, I. and Smith, S. P. (2004) Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities. Mathematische Annalen, 330(1), pp. 185-200. (doi: 10.1007/s00208-004-0545-y)

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Publisher's URL: http://dx.doi.org/10.1007/s00208-004-0545-y

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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:UNSPECIFIED
Authors: Gordon, I., and Smith, S. P.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Mathematische Annalen
Publisher:Springer-Verlag
ISSN:0025-5831
ISSN (Online):1432-1807
Published Online:27 April 2004

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
334411Representations of symplectic reflection algebrasIain GordonEngineering & Physical Sciences Research Council (EPSRC)GR/S14900/01Mathematics