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Seminario: “Finite dimensionality of the spherical irreducible modules for the rational Cherednik algebra”

Martedì 31 Gennaio 2017, ore 10:30 - Aula 2AB45 - Stephen Griffeth

ARGOMENTI: Seminari

Martedì 31 Gennaio 2017 alle ore 10:30 in Aula 2AB45, Stephen Griffeth (Talca) terrà un seminario dal titolo “Finite dimensionality of the spherical irreducible modules for the rational Cherednik algebra”.

Abstract
We determine when the irreducible head of the polynomial representation of the rational Cherednik algebra of a complex reflection group is finite dimensional. This has been achieved previously by Varagnolo-Vasserot in the case of Weyl groups and equal parameters, and by Etingof, in the case of real reflection groups. Our method is different from the preceding ones, and relies on Schur elements for finite Hecke algebras and certain renormalizations of Baker-Akhiezer functions.
(joint work with Daniel Juteau)