Une q - sp\'ecialisation pour les fonctions sym\'etriques monomiales
Combinatorics
2007-05-23 v2
Abstract
We obtain the specialization of monomial symmetric functions on the alphabet (a-b)/(1-q). This gives a remarkable algebraic identity, and four new developments for the Macdonald polynomial associated with a row. The proofs are given in the framework of -ring theory.
Cite
@article{arxiv.math/0004019,
title = {Une q - sp\'ecialisation pour les fonctions sym\'etriques monomiales},
author = {Michel Lassalle},
journal= {arXiv preprint arXiv:math/0004019},
year = {2007}
}
Comments
25 pages, LaTeX, in French. Enlarged version, with new remarks, misprints corrected, and an Appendix added