paper

A combinatorial formula for non-symmetric Macdonald polynomials

arXiv:math/0601693

Abstract

We give a combinatorial formula for the non-symmetric Macdonald polynomials E_μ(x;q,t). The formula generalizes our previous combinatorial interpretation of the integral form symmetric Macdonald polynomials J_μ(x;q,t). We prove the new formula by verifying that it satisfies a recurrence, due to Knop, that characterizes the non-symmetric Macdonald polynomials.

22 pages, to appear in Amer. J. Math

A combinatorial formula for non-symmetric Macdonald polynomials · wovepaper