Macdonald polynomials as characters of Cherednik algebra modules

Abstract

We prove that Macdonald polynomials are characters of irreducible Cherednik algebra modules.

6 pages; v2 logical content essentially the same, but main theorem is now explicitly an equivalence between the n! theorem and the character formula for irreducible H-modules

References in corpus (2)

• Symmetric and Antisymmetric Vector-valued Jack Polynomials
• Generalized Jack polynomials and the representation theory of rational Cherednik algebras