Une q - spécialisation pour les fonctions symétriques monomiales

Mathematics – Combinatorics

Scientific paper

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

Scientific paper

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.

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