arXiv Analytics

Sign in

arXiv:1002.4607 [math.RT]AbstractReferencesReviewsResources

Generalized Jack polynomials and the representation theory of rational Cherednik algebras

Charles Dunkl, Stephen Griffeth

Published 2010-02-24, updated 2010-06-22Version 2

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.

Comments: 20 pages; v2 updated based on reviewer feedback, now with somewhat expanded exposition and proofs
Journal: Selecta Math. (N.S.) 16 (2010), 791-818
Categories: math.RT, math.CO
Related articles: Most relevant | Search more
arXiv:1302.5859 [math.RT] (Published 2013-02-24, updated 2015-05-13)
Stability patterns in representation theory
arXiv:1003.3407 [math.RT] (Published 2010-03-17, updated 2010-07-11)
Representation theory of the rational Cherednik algebras of type Z/lZ via microlocal analysis
arXiv:0801.4136 [math.RT] (Published 2008-01-27)
Characteristic cycles of standard modules for the rational Cherednik algebra of type Z/lZ

Links

Toolbox