Generalized Jack polynomials and the representation theory of rational Cherednik algebras

Details Generalized Jack polynomials and the representation theory of rational Cherednik algebras Generalized Jack polynomials and the representation theory of rational Cherednik algebras

2010-02-24

arxiv.org/abs/1002.4607v2

Selecta Math. (N.S.) 16 (2010), 791-818

Mathematics

Representation Theory

20 pages; v2 updated based on reviewer feedback, now with somewhat expanded exposition and proofs

Scientific paper

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.

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