Generalized Jack polynomials and the representation theory of rational Cherednik algebras
arXiv:1002.4607
Abstract
We apply the Dunkl-Opdam operators and generalized Jack polynomials to study category O for the rational Cherednik algebra of type G(r,1,n). We determine the set of aspherical values, and answer a question of Iain Gordon on the ordering of category O.
20 pages; v2 updated based on reviewer feedback, now with somewhat expanded exposition and proofs