Square-ice enumeration.
Motzkin paths and powers of continued fractions.
About division by 1.
Symmetric functions. (Fonctions symétriques.)
Yin potential on the symmetric group. (Potential Yin sur le groupe symétrique.)
Ordering the symmetric group: why using the Iwahori-Hecke algebra? (Ordonner le groupe symétrique: Pourquoi utiliser l'algèbre de Iwahori-Hecke?)
Adding to the argument of a Hall-Littlewood polynomial.
Generalization of Scott's permanent identity.
The 6 vertex model and Schubert polynomials.
Addition of : application to arithmetic.
Schubert and Grothendieck: a bidecennial balance. (Schubert et Grothendieck: un bilan bidécennal.)
Non-symmetric Hall-Littlewood polynomials.
Edges and tableaux. (Arêtes et tableaux.)
Lattices and bases of Coxeter groups. (Treillis et bases des groups de Coxeter.)
-identities related to overpartitions and divisor functions.
Tableaux de Young et fonctions de Schur-Littlewood
Wroński's factorization of polynomials
Puissances extérieures, déterminants et cycles de Schubert
Ribbon tableaux, Hall-Littlewood functions and unipotent varieties.
Twisted action of the symmetric group on the cohomology of a flag manifold
Classes dual to Schubert cycles constitute a basis on the cohomology ring of the flag manifold F, self-adjoint up to indexation with respect to the intersection form. Here, we study the bilinear form (X,Y) :=〈X·Y, c(F)〉 where X,Y are cocycles, c(F) is the total Chern class of F and〈,〉 is the intersection form. This form is related to a twisted action of the symmetric group of the cohomology ring, and to the degenerate affine Hecke algebra. We give a distinguished basis for this form, which is a...
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