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Abstract: The goal of this paper is to present some results and more importantlystate a number of conjectures suggesting that the representation theory ofsymplectic reflection algebras for wreath products categorifies certainstructures in the representation theory of affine Lie algebras namely,decompositions of the restriction of the basic representation to finitedimensional and affine subalgebras. These conjectures arose from the insightdue to R. Bezrukavnikov and A. Okounkov on the link between quantum connectionsfor Hilbert schemes of resolutions of Kleinian singularities andrepresentations of symplectic reflection algebras.



Autor: Pavel Etingof

Fuente: https://arxiv.org/







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