A combinatorial formula for nonsymmetric Macdonald polynomials

• Autores: James Haglund, Mark D. Haiman, N. Loehr
• Localización: American journal of mathematics, ISSN 0002-9327, Vol. 130, Nº 2, 2008, págs. 359-383
• Idioma: inglés
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• Resumen

  • 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.