A combinatorial formula for non-symmetric Macdonald polynomials
Combinatorics
2007-05-23 v3 Quantum Algebra
Abstract
We give a combinatorial formula for the non-symmetric Macdonald polynomials E_{\mu}(x;q,t). The formula generalizes our previous combinatorial interpretation of the integral form symmetric Macdonald polynomials J_{\mu}(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.
Cite
@article{arxiv.math/0601693,
title = {A combinatorial formula for non-symmetric Macdonald polynomials},
author = {J. Haglund and M. Haiman and N. Loehr},
journal= {arXiv preprint arXiv:math/0601693},
year = {2007}
}
Comments
22 pages, to appear in Amer. J. Math