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Crystal structure for representations of Cherednik algebras

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Algebraic Lie Theory

I will report on recent work of Peng Shan (Paris VII ). Using the parabolic induction and restriction functors of Bezrukavnikov and Etingof she showed the existence of a crystal structure on category O of the rational Cherednik algebras of type G(m,1,n) as n varies. Independently, Maurizio Martino (Bonn) and I proved the same result, with a slightly different construction which I shall outline.

This talk is part of the Isaac Newton Institute Seminar Series series.

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