A combinatorial formula for non-symmetric Macdonald polynomials

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dc.creatorHaglund, J.
dc.creatorHaiman, M.
dc.creatorLoehr, N.
dc.date2006-01-28
dc.date2007-02-12
dc.date.accessioned2026-07-07T07:45:59Z
dc.date.available2026-07-07T07:45:59Z
dc.descriptionWe 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.
dc.description22 pages, to appear in Amer. J. Math
dc.identifierhttps://arxiv.org/abs/math/0601693
dc.identifierhttp://arxiv.org/abs/math/0601693
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123685
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subjectPrimary: 05E10; Secondary: 05A30, 33D52
dc.titleA combinatorial formula for non-symmetric Macdonald polynomials
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