Galleries, Hall-Littlewood polynomials and structure constants of the spherical Hecke algebra
Combinatorics
2007-06-13 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.math/0506287,
title = {Galleries, Hall-Littlewood polynomials and structure constants of the spherical Hecke algebra},
author = {Christoph Schwer},
journal= {arXiv preprint arXiv:math/0506287},
year = {2007}
}
Comments
28 pages, v3: revised version, to appear in IMRN