Representations of the generalized symmetric groups.
Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials
Restricting supercharacters of the finite group of unipotent uppertriangular matrices.
Ribbon tableaux, Hall-Littlewood functions and unipotent varieties.
Robinson-Schensted correspondence for the signed Brauer algebras.
R-S correspondence for and Klein-4 diagram algebras.
RSK bases and Kazhdan-Lusztig cells
From the combinatorial characterizations of the right, left, and two-sided Kazhdan-Lusztig cells of the symmetric group, “ RSK bases” are constructed for certain quotients by two-sided ideals of the group ring and the Hecke algebra. Applications to invariant theory, over various base rings, of the general linear group and representation theory, both ordinary and modular, of the symmetric group are discussed.
RSK insertion for set partitions and diagram algebras.
Schubert and Grothendieck: a bidecennial balance. (Schubert et Grothendieck: un bilan bidécennal.)
Schubert functions and the number of reduced words of permutations.
Schur and Schubert polynomials as Thom polynomials-cohomology of moduli spaces
The theory of Schur and Schubert polynomials is revisited in this paper from the point of view of generalized Thom polynomials. When we apply a general method to compute Thom polynomials for this case we obtain a new definition for (double versions of) Schur and Schubert polynomials: they will be solutions of interpolation problems.
Schur functions and alternating sums.
Schur functions: Theme and variations.
Schur -functions and spin characters of symmetric groups. I.
Schur-convexity of the complete elementary symmetric function.
Semicanonical basis generators of the cluster algebra of type .
Semistandard matrices and tableaux. (Matrices et tableaux semi-standard.)
Separability number and Schurity number of coherent configurations.
Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines
Étant donnés un système de racines d’une des familles A, B, C, D, F, G et le groupe abélien libre qu’il engendre, on calcule explicitement la série de croissance de ce groupe relativement à Les résultats s’interprètent en termes du polynôme d’Ehrhart de l’enveloppe convexe de .
Set-polynomials and polynomial extension of the Hales-Jewett theorem.