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

References in corpus (1)

• Une identité remarquable en théorie des partitions

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• Narayana polynomials and Hall-Littlewood symmetric functions
• Two positivity conjectures for Kerov polynomials
• An explicit formula for the characters of the symmetric group