|
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
MathSciNet review:
2167902
Retrieve article in:
PDF
This article is available free of charge
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)
Similar Articles:
Retrieve articles in Representation Theory
with MSC
(2000):
16G99
Retrieve articles in all Journals with MSC
(2000):
16G99
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.
|
