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Moscow Mathematical Journal, 2012, Volume 12, Number 3, Pages 543–565
DOI: https://doi.org/10.17323/1609-4514-2012-12-3-543-565
(Mi mmj457)
 

This article is cited in 14 scientific papers (total in 14 papers)

Symplectic reflection algebras and affine Lie algebras

Pavel Etingof

Department of Mathematics, Massachusetts Institute of Technology
Full-text PDF Citations (14)
References:
Abstract: The goal of this paper is to present some results and (more importantly) state a number of conjectures suggesting that the representation theory of symplectic reflection algebras for wreath products categorifies certain structures in the representation theory of affine Lie algebras (namely, decompositions of the restriction of the basic representation to finite dimensional and affine subalgebras). These conjectures arose from the insight due to R. Bezrukavnikov and A. Okounkov on the link between quantum connections for Hilbert schemes of resolutions of Kleinian singularities and representations of symplectic reflection algebras.
Key words and phrases: symplectic reflection algebra, affine Lie algebra, basic representation, root, weight.
Received: October 28, 2011
Bibliographic databases:
Document Type: Article
MSC: 17B67, 33D80, 20C08
Language: English
Citation: Pavel Etingof, “Symplectic reflection algebras and affine Lie algebras”, Mosc. Math. J., 12:3 (2012), 543–565
Citation in format AMSBIB
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\by Pavel~Etingof
\paper Symplectic reflection algebras and affine Lie~algebras
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 3
\pages 543--565
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  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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