Generalized Jack polynomials and the representation theory of rational Cherednik algebras
Representation Theory
2010-11-01 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.1002.4607,
title = {Generalized Jack polynomials and the representation theory of rational Cherednik algebras},
author = {Charles Dunkl and Stephen Griffeth},
journal= {arXiv preprint arXiv:1002.4607},
year = {2010}
}
Comments
20 pages; v2 updated based on reviewer feedback, now with somewhat expanded exposition and proofs