The monomial expansion formula for Hall-Littlewood $P$-polynomials
Combinatorics
2024-07-23 v1 Representation Theory
Abstract
We give a Hecke algebra derivation of Macdonald's expansion formula for Hall-Littlewood polynomials in terms of semistandard Young tableaux. This is accomplished by first obtaining a Hecke algebra lift of the expansion coefficients and then proving a generalization of Klostermann's recursions.
Keywords
Cite
@article{arxiv.2407.14652,
title = {The monomial expansion formula for Hall-Littlewood $P$-polynomials},
author = {Aritra Bhattacharya},
journal= {arXiv preprint arXiv:2407.14652},
year = {2024}
}