J. Haglund, M. Haiman, N. Loehr
Published 2006-01-28, updated 2007-02-12Version 3
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.
Comments: 22 pages, to appear in Amer. J. Math
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