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

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.

28 pages, v3: revised version, to appear in IMRN

Cited by in corpus (3)

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