A $q$-multinomial expansion of LLT coefficients and plethysm multiplicities
Representation Theory
2011-04-27 v1 Combinatorics
Abstract
Lascoux, Leclerc and Thibon\cite{LLT} introduced a family of symmetric polynomials, called LLT polynomials. We prove a -multinomial expansion of the coefficients of LLT polynomials in the case where and define a -analog of a sum of the plethysm multiplicities.
Keywords
Cite
@article{arxiv.1104.4870,
title = {A $q$-multinomial expansion of LLT coefficients and plethysm multiplicities},
author = {Kazuto Iijima},
journal= {arXiv preprint arXiv:1104.4870},
year = {2011}
}