Irreducible symmetric group characters of rectangular shape.
Irreducible tensor representations of general linear Lie superalgebras
We present a description of irreducible tensor representations of general linear Lie superalgebras in terms of generalized determinants in the symmetric and exterior superalgebras of a superspace over a field of characteristic zero.
Jack deformations of Plancherel measures and traceless Gaussian random matrices.
Jucys-Murphy element and walks on modified Young graph
Biane found out that irreducible decomposition of some representations of the symmetric group admits concentration at specific isotypic components in an appropriate large n scaling limit. This deepened the result on the limit shape of Young diagrams due to Vershik-Kerov and Logan-Shepp in a wider framework. In particular, it is remarkable that asymptotic behavior of the Littlewood-Richardson coefficients in this regime was characterized in terms of an operation in free probability of Voiculescu....
Jucys-Murphy elements and the unitary Weingarten function
We describe an approach to the unitary Weingarten function based on the JM elements of symmetric group algebras. When combined with previously known properties of the Weingarten function, this gives a surprising connection with the Moebius function of the lattice of noncrossing partitions.
Littlewood-Richardson without algorithmically defined bijections.
Local algebras and a new version of Young's orthogonal form
Matrices connected with Brauer's centralizer algebras.
Matrix realizations of pairs of Young tableaux, keys and shuffles.
Matrix tableau-pairs with key and shuffling conditions.
Maximal projective degrees for strict partitions.
Modulo study of the mahonian statistics. (Étude modulo des statistiques mahoniennes.)
Moment polytopes of projective -varieties and tensor products of symmetric group representations.
Monomial crystals and partition crystals.
Monotone Hurwitz Numbers and the HCIZ Integral
In this article, we prove that the complex convergence of the HCIZ free energy is equivalent to the non-vanishing of the HCIZ integral in a neighbourhood of . Our approach is based on a combinatorial model for the Maclaurin coefficients of the HCIZ integral together with classical complex-analytic techniques.
Multi-ordered posets.
Multisegment duality, canonical bases and total positivity.
On base partitions and cover partitions of skew characters.
On character tables related to the alternating groups.
On descents in standard Young tableaux.