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Galleries, Hall-Littlewood polynomials and structure constants of the spherical Hecke algebra

Christoph Schwer
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Abstract

We provide a combinatorial description of the coefficients appearing in the expansion of Hall-Littlewood polynomials in terms of monomial symmetric functions. We also give a Littlewood-Richardson rule for Hall-Littlewood polynomials. For proving this we use galleries to calculate Satake coefficients and structure constants of spherical Hecke algebras with arbitrary parameters.

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Christoph Schwer. 2006-10-10. Galleries, Hall-Littlewood polynomials and structure constants of the spherical Hecke algebra. https://doi.org/10.1155/imrn%2F2006%2F75395

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