2000/04/20 by Michel Lassalle
Mathematics · #math.CO
published as Advances in Math., 162 (2001), 217-242 · 25 pages, LaTeX, in French. Enlarged version, with new remarks, misprints corrected, and an Appendix added
arxiv created 2000/04/20 · arxiv updated 2009/11/30
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 λ-ring theory.