Macdonald polynomials as characters of Cherednik algebra modules
arXiv:1205.0593
Abstract
We prove that Macdonald polynomials are characters of irreducible Cherednik algebra modules.
arXiv comment6 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 (7)
- On the quotient ring by diagonal harmonics
- Dual equivalence graphs and a combinatorial proof of LLT and Macdonald positivity
- Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism
- Macdonald polynomials in superspace: conjectural definition and positivity conjectures
- Symmetric and Antisymmetric Vector-valued Jack Polynomials
- Macdonald polynomials in superspace as eigenfunctions of commuting operators
- Generalized Jack polynomials and the representation theory of rational Cherednik algebras