Littlewood-Richardson without algorithmically defined bijections.
Lyndon words and transition matrices between elementary, homogeneous and monomial symmetric functions.
-partition boards and poly-Stirling numbers.
Matrix tableau-pairs with key and shuffling conditions.
Monomial nonnegativity and the Bruhat order.
Multisegment duality, canonical bases and total positivity.
Multisymmetric functions.
Natural endomorphisms of quasi-shuffle Hopf algebras
The Hopf algebra of word-quasi-symmetric functions (), a noncommutative generalization of the Hopf algebra of quasi-symmetric functions, can be endowed with an internal product that has several compatibility properties with the other operations on . This extends constructions familiar and central in the theory of free Lie algebras, noncommutative symmetric functions and their various applications fields, and allows to interpret as a convolution algebra of linear endomorphisms of quasi-shuffle...
Nombre de factorisations d'un grand cycle (Number of factorizations of a large cycle).
Noncommutative symmetric functions. III: Deformations of Cauchy and convolution algebras.
Nonhomogeneous parking functions and noncrossing partitions.
Non-symmetric Hall-Littlewood polynomials.
On a generalization of binomial coefficients. (Sur une généralisation des coefficients binomiaux.)
On base partitions and cover partitions of skew characters.
On certain formulas of Karlin and Szegö.
On Cherednik-Macdonald-Mehta identities.
On some anticyclic operads.
On symmetric functions and the spin characters of
On symmetric polynomials. (Über symmetrische Polynome.)
On systems of overlapping sets and symmetric polynomial inequalities