most citedPolynômes quasi-invariants et super-coinvariants pour le groupe symétrique généralisé

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math.CO20072 cited

Polynômes quasi-invariants et super-coinvariants pour le groupe symétrique généralisé

Jean-Christophe Aval

A classical result of Artin states that the ideal generated by symmetric polynomials in variables is of codimension . The author, F. Bergeron and N. Bergeron have recently…

math.CO20071 cited

Quasi-invariant and super-coinvariant polynomials for the generalized symmetric group

Jean-Christophe Aval

The aim of this work is to extend the study of super-coinvariant polynomials, to the case of the generalized symmetric group , defined as the wreath product of…

math.CO2007

Multivariate Fuss-Catalan numbers

Jean-Christophe Aval

Catalan numbers enumerate binary trees and Dyck paths. The distribution of paths with respect to their number of factors is given by ballot nu…

math.CO20071 cited

Ideals and quotients of B-quasisymmetric functions

Jean-Christophe Aval

The space of -quasisymmetric polynomials in 2 sets of variables was recently studied by Baumann and Hohlweg. The aim of this work is a study of the ideal $<QSym_…

math.CO2007

On certain spaces of lattice diagram determinants

Jean-Christophe Aval

The aim of this work is to study some lattice diagram polynomials . We recall that denotes the space of all partial derivatives of . In this paper, we want to…

math.CO2007

On certain spaces of lattice diagram polynomials

Jean-Christophe Aval

The aim of this work is to study some lattice diagram determinants . We recall that denotes the space of all partial derivatives of . In this paper, we want to…