Resumen de A combinatorial formula for nonsymmetric Macdonald polynomials

James Haglund, Mark D. Haiman, N. Loehr

• We give a combinatorial formula for the nonsymmetric Macdonald polynomials Eµ(x; q, t). The formula generalizes our previous combinatorial interpretation of the integral form symmetric Macdonald polynomials Jµ(x; q, t). We prove the new formula by verifying that it satisfies a recurrence, due to Knop and Sahi, that characterizes the nonsymmetric Macdonald polynomials.