A combinatorial formula for non-symmetric Macdonald polynomials

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We give a combinatorial formula for the non-symmetric Macdonald polynomials E_μ(x;q,t). The formula generalizes our previous combinatorial interpretation of the integral form symmetric Macdonald polynomials J_μ(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.
22 pages, to appear in Amer. J. Math

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Combinatorics, Quantum Algebra, Primary: 05E10; Secondary: 05A30, 33D52

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http://salesiana.dossiersoluciones.com/handle/123456789/123685

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601693
 http://arxiv.org/abs/math/0601693

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arXiv