Crystal structure for representations of Cherednik algebras
Seminar Room 1, Newton Institute
AbstractI 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.
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