An extension of the Foata map to standard Young tableaux.
An involution principle-free bijective proof of Stanley's hook-content formula.
Applications de Gauss et pléthysme
Les représentations irréductibles de sont décrites par les foncteurs de Schur, dont la composition définit le pléthysme. Sa compréhension est un problème important en théorie des invariants, ou bien en relation avec les représentations des groupes symétriques.Nous proposons dans cet article une approche géométrique du problème. Généralisant les plongements classiques de Veronese et de Segre, nous construisons des plongements de variétés de drapeaux dans d’autres variétés de drapeaux, sur lesquels...
Asymptotics of the number of -words with an -descent.
Bethe Ansatz and the geography of rigged strings
We demonstrate the way in which composition of two famous combinatorial bijections, of Robinson-Schensted and Kerov-Kirillov-Reshetikhin, applied to the Heisenberg model of magnetic ring with spin 1/2, defines the geography of rigged strings (which label exact eigenfunctions of the Bethe Ansatz) on the classical configuration space (the set of all positions of the system of r reversed spins). We point out that each l-string originates, in the language of this bijection, from an island of l consecutive...
Bijections for hook pair identities.
Bijective proofs for Schur function identities which imply Dodgson's condensation formula and Plücker relations.
Bijective proofs of the hook formulas for the number of standard Young tableaux, ordinary and shifted.
Bipartition orders and statistics on words. (Ordres bipartitionnaires et statistiques sur les mots.)
Bitableaux bases for some Garsia-Haiman modules and other related modules.
Bottom Schur functions.
Branching rules for modular representations of symmetric groups, II.
Canonical Brauer induction and symmetric groups
Imitating the approach of canonical induction formulas we derive a formula that expresses every character of the symmetric group as an integer linear combination of Young characters. It is different from the well-known formula that uses the determinantal form.
Categorification of the virtual braid groups
We extend Rouquier’s categorification of the braid groups by complexes of Soergel bimodules to the virtual braid groups.
Cells and constructible representations in type .
Character polynomials, their -analogs and the Kronecker product.
Character theory of symmetric groups, analysis of long relators, and random walks.
Chess tableaux.
Colored permutations and skew tableaux. (Permutations colorées et tableaux gauches.)
Coloured generalised Young diagrams for affine Weyl-Coxeter groups.