A combinatorial formula for non-symmetric Macdonald polynomials

Mathematics – Combinatorics

Scientific paper

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22 pages, to appear in Amer. J. Math

Scientific paper

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.

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