Generalization of the Macdonald formula for Hall-Littlewood polynomials
Combinatorics
2012-01-13 v2 Representation Theory
Abstract
We study the Gaussent-Littelmann formula for Hall-Littlewood polynomials and we develop combinatorial tools to describe the formula in a purely combinatorial way for type A_n, B_n and C_n. This description is in terms of Young tableaux and arises from identifying one-skeleton galleries that appear in the Gaussent-Littelmann formula with Young tableaux. Furthermore, we show by using these tools that the Gaussent-Littelmann formula and the well-known Macdonald formula for Hall-Littlewood polynomials for type A_n are the same.
Keywords
Cite
@article{arxiv.1102.0571,
title = {Generalization of the Macdonald formula for Hall-Littlewood polynomials},
author = {Inka Klostermann},
journal= {arXiv preprint arXiv:1102.0571},
year = {2012}
}