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.
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Mathematics Subject Classification (2000): 14E15, 16Rxx, 16S38, 18E30
The first author was partially supported by the Nuffield Foundation grant NAL/00625/G and by the University of Washington’s Milliman Fund. The second author was partially supported by an NSF grant DMS-0070560. Both authors are grateful to the Edinburgh Mathematical Society and the Leverhulme Trust for support.
Dedicated to Claus Michael Ringel on the occasion of his sixtieth birthday
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Gordon, I., Smith, S. Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities. Math. Ann. 330, 185–200 (2004). https://doi.org/10.1007/s00208-004-0545-y
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DOI: https://doi.org/10.1007/s00208-004-0545-y