On base partitions and cover partitions of skew characters.
On character tables related to the alternating groups.
On descents in standard Young tableaux.
On elementary lower bounds for the partition function.
On pattern-avoiding partitions.
On plethysm conjectures of Stanley and Foulkes: the case.
On symmetric functions and the spin characters of
On the formula of Goulden and Rattan for Kerov polynomials.
On the Fourier transform on the infinite symmetric group.
On the Kronecker product of Schur functions of two row shapes.
On the -modules generated by partitions of a given shape.
On the number of fully packed loop configurations with a fixed associated matching.
On the number of rim hook tableaux
On the positivity of the number of t-core partitions
A partition of a positive integer n is a nonincreasing sequence of positive integers with sum Here we define a special class of partitions. 1. Let be a positive integer. Any partition of n whose Ferrers graph have no hook numbers divisible by t is known as a t- core partitionof The hooks are important in the representation theory of finite symmetric groups and the theory of cranks associated with Ramanujan’s congruences for the ordinary partition function [3,4,6]. If and , then we define...
On the spectra of Johnson graphs.
On the spectrum of the derangement graph.
On the symmetry classes of the first covariant derivatives of tensor fields.
On the -core of an -core partition.
Orbit measures, random matrix theory and interlaced determinantal processes
A connection between representation of compact groups and some invariant ensembles of hermitian matrices is described. We focus on two types of invariant ensembles which extend the gaussian and the Laguerre Unitary ensembles. We study them using projections and convolutions of invariant probability measures on adjoint orbits of a compact Lie group. These measures are described by semiclassical approximation involving tensor and restriction multiplicities. We show that a large class of them are determinantal....
Order statistics on colored permutations. (Statistiques d'ordre sur les permutations colorées.)