Integrality of two variable Kostka functions.
Intertwining Operators and Polynomials Associated with the Symmetric Group.
Intertwining spaces associated with q-analogues of the Young symmetrizers in the Hecke algebra
Irreducibilty of alternating and symmetric squares.
Irreducible symmetric group characters of rectangular shape.
Isométrics parfaites entre blocs de groupes linéaires ou unitaires.
Jones' trace function on the Hecke algebra of symmetric groups
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....
La théorie classique et moderne des fonctions symétriques
Local algebras and a new version of Young's orthogonal form
Local structure of the p-Blocks of ...n.
Logarithmic Descriptions of K1' (Zp G) and Classgroups of Symmetric Groups.
Matrices connected with Brauer's centralizer algebras.
Moment polytopes of projective -varieties and tensor products of symmetric group representations.
Multiplicity-Free Permuation Representations of Finite Linear Groups.
Multisegment duality, canonical bases and total positivity.
Non vanishing conjugacy classes for an irreducible character of .
On 3-Manifolds with Finite Solvable Fundamental Groups.
On a conjecture of Alperin and McKay.
On a New Approach to Williamson's Generalization of Pólya's Enumeration Theorem
Pólya’s fundamental enumeration theorem and some results from Williamson’s generalized setup of it are proved in terms of Schur- Macdonald’s theory (S-MT) of “invariant matrices”. Given a permutation group W ≤ Sd and a one-dimensional character χ of W , the polynomial functor Fχ corresponding via S-MT to the induced monomial representation Uχ = ind|Sdv/W (χ) of Sd , is studied. It turns out that the characteristic ch(Fχ ) is the weighted inventory of some set J(χ) of W -orbits in the integer-valued hypercube...