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Representation Theory
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Finite dimensional representations of symplectic reflection algebras associated to wreath products

Author(s): Pavel Etingof; Silvia Montarani
Journal: Represent. Theory 9 (2005), 457-467.
MSC (2000): Primary 16G99
Posted: July 21, 2005
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Abstract | References | Similar articles | Additional information

Abstract: Using deformation theory of representations of algebras, we construct families of finite dimensional representations of symplectic reflection algebras associated to wreath products.


References:

[CBH]
W. Crawley-Boevey, M. Holland, Noncommutative deformations of Kleinian singularities, Duke Math. J. 92 (1998), no. 3, 605-635. MR 1620538 (99f:14003)

[CE]
T. Chmutova and P. Etingof, On some representations of the rational Cherednik algebra, Represent Theory 7 (electronic) (2003), 641-650. MR 2017070 (2005a:16019)

[EG]
P. Etingof, V. Ginzburg, Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism, Invent. Math. 147 (2002), no. 2, 243-348. MR 1881922 (2003b:16021)

[EO]
P. Etingof, A. Oblomkov, Quantization, orbifold cohomology, and Cherednik algebras, preprint, math.QA/0311005.

[GG]
W. L. Gan, V. Ginzburg Deformed preprojective algebras and symplectic reflection algebras for wreath products, J. Algebra 283 (2005), no. 1, 350-363. MR 2102087

[GS]
I. Gordon, S.P. Smith Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities, Math. Ann. 330 (2004), no. 1, 185-200. MR 2091684

[VB1]
M. van den Bergh A relation between Hochschild homology and cohomology for Gorenstein rings, Proc. Amer. Math. Soc. 126 (1998), no. 5, 1345-1348. MR 1443171 (99m:16013)

[VB2]
M. van den Bergh Erratum to: ``A relation between Hochschild homology and cohomology for Gorenstein rings", Proc. Amer. Math. Soc. 130 (2000), no. 9, 2809-2810. MR 1900889 (2003f:16016)

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Additional Information:

Pavel Etingof
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: etingof@math.mit.edu

Silvia Montarani
Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
Email: montarani@math.mit.edu

DOI: 10.1090/S1088-4165-05-00288-8
PII: S 1088-4165(05)00288-8
Received by editor(s): March 15, 2004
Received by editor(s) in revised form: May 14, 2005
Posted: July 21, 2005
Additional Notes: The work of P.E. was partially supported by the NSF grant DMS-9988796 and the CRDF grant RM1-2545-MO-03
Copyright of article: Copyright 2005, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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