A combinatorial formula for Macdonald polynomials

DOI10.1016/j.aim.2010.06.022zbMath1291.05210arXiv0803.1146OpenAlexW1963575111MaRDI QIDQ610677

Arun Ram, Martha Yip

Publication date: 10 December 2010

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1146

zbMATH Keywords

symmetric functionsMacdonald polynomialspath modelalcove walkscombinatorial formulas

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

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Cites Work

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• Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux.
• On combinatorial formulas for MacDonald polynomials
• Schur functions: Theme and variations
• LS galleries, the path model, and MV cycles
• Galleries, Hall-Littlewood polynomials, and structure constants of the spherical Hecke algebra
• A combinatorial formula for nonsymmetric Macdonald polynomials
• A combinatorial model for crystals of Kac-Moody algebras
• Involutions of Double Affine Hecke Algebras
• A combinatorial formula for Macdonald polynomials
• Breakthroughs in the theory of Macdonald polynomials
• Affine Weyl Groups in K-Theory and Representation Theory

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