Macdonald polynomials as characters of Cherednik algebra modules

TL;DR

This paper demonstrates that Macdonald polynomials can be interpreted as characters of irreducible modules over Cherednik algebras, establishing a deep algebraic connection.

Contribution

It provides a proof that Macdonald polynomials are characters of irreducible Cherednik algebra modules, linking special functions with algebraic representations.

Findings

Macdonald polynomials are characters of Cherednik algebra modules

Establishes a new algebraic interpretation of Macdonald polynomials

Connects symmetric functions with representation theory

Abstract

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