Une q - spécialisation pour les fonctions symétriques monomiales

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 $\lambda$-ring theory.

25 pages, LaTeX, in French. Enlarged version, with new remarks, misprints corrected, and an Appendix added