Finite dimensional representations of symplectic reflection algebras associated to wreath products
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- by Pavel Etingof and Silvia Montarani
- Represent. Theory 9 (2005), 457-467
- DOI: https://doi.org/10.1090/S1088-4165-05-00288-8
- Published electronically: July 21, 2005
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Abstract:
Using deformation theory of representations of algebras, we construct families of finite dimensional representations of symplectic reflection algebras associated to wreath products.References
- William Crawley-Boevey and Martin P. Holland, Noncommutative deformations of Kleinian singularities, Duke Math. J. 92 (1998), no. 3, 605–635. MR 1620538, DOI 10.1215/S0012-7094-98-09218-3
- Tatyana Chmutova and Pavel Etingof, On some representations of the rational Cherednik algebra, Represent. Theory 7 (2003), 641–650. MR 2017070, DOI 10.1090/S1088-4165-03-00214-0
- Pavel Etingof and Victor Ginzburg, Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism, Invent. Math. 147 (2002), no. 2, 243–348. MR 1881922, DOI 10.1007/s002220100171 [EO]EO P. Etingof, A. Oblomkov, Quantization, orbifold cohomology, and Cherednik algebras, preprint, arXiv:math.QA/0311005.
- Wee Liang Gan and Victor Ginzburg, Deformed preprojective algebras and symplectic reflection algebras for wreath products, J. Algebra 283 (2005), no. 1, 350–363. MR 2102087, DOI 10.1016/j.jalgebra.2004.08.007
- Iain Gordon and S. Paul Smith, Representations of symplectic reflection algebras and resolutions of deformations of symplectic quotient singularities, Math. Ann. 330 (2004), no. 1, 185–200. MR 2091684, DOI 10.1007/s00208-004-0545-y
- Michel 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, DOI 10.1090/S0002-9939-98-04210-5
- Michel van den Bergh, Erratum to: “A relation between Hochschild homology and cohomology for Gorenstein rings” [Proc. Amer. Math. Soc. 126 (1998), no. 5, 1345–1348; MR1443171 (99m:16013)], Proc. Amer. Math. Soc. 130 (2002), no. 9, 2809–2810. MR 1900889, DOI 10.1090/S0002-9939-02-06684-4
Bibliographic Information
- Pavel Etingof
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- MR Author ID: 289118
- Email: etingof@math.mit.edu
- Silvia Montarani
- Affiliation: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
- Email: montarani@math.mit.edu
- Received by editor(s): March 15, 2004
- Received by editor(s) in revised form: May 14, 2005
- Published electronically: 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 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Represent. Theory 9 (2005), 457-467
- MSC (2000): Primary 16G99
- DOI: https://doi.org/10.1090/S1088-4165-05-00288-8
- MathSciNet review: 2167902