Lattice path proofs of extended Bressoud-Wei and Koike skew Schur function identities.
Lattices and association schemes : a unimodular example without roots in dimension 28
Some interesting lattices can be constructed using association schemes. We illustrate this by a unimodular lattice without roots of dimension 28 which admits as its automorphism group.
Lattices and bases of Coxeter groups. (Treillis et bases des groups de Coxeter.)
Le module dendriforme sur le groupe cyclique
La structure d’opérade anticyclique de l’opérade dendriforme donne en particulier une matrice d’ordre agissant sur l’espace engendré par les arbres binaires plans à feuilles. On calcule le polynôme caractéristique de cette matrice. On propose aussi une conjecture compatible pour le polynôme caractéristique de la transformation de Coxeter du poset de Tamari, qui est essentiellement une racine carrée de cette matrice.
Left cells and domino tableaux in classical Weyl groups
Leonard pairs from the equitable basis of .
Limit shapes of Gibbs distributions on the set of integer partitions : the expansive case
We find limit shapes for a family of multiplicative measures on the set of partitions, induced by exponential generating functions with expansive parameters, ak∼Ckp−1, k→∞, p>0, where C is a positive constant. The measures considered are associated with the generalized Maxwell–Boltzmann models in statistical mechanics, reversible coagulation–fragmentation processes and combinatorial structures, known as assemblies. We prove a central limit theorem for fluctuations of a properly scaled partition...
Linearly independent products of rectangularly complementary Schur functions.
Littlewood-Richardson coefficients and integrable tilings.
Littlewood-Richardson without algorithmically defined bijections.
Local algebras and a new version of Young's orthogonal form
Loop characters
A survey of the basic results of loop characters is given on the lines of the treatment of the author and J.D.H. Smith for characters of quasigroups, including some recent deveploments. One of the successes of the theory has been its suggestive influence on the theory of association schemes, group representations and the theory of the group determinant, and selected results arising are described. A section is devoted to an explanation of how the tool of loop characters has not yet been as startlingly...
LVMB manifolds and simplicial spheres
LVM and LVMB manifolds are a large family of non kähler manifolds. For instance, Hopf manifolds and Calabi-Eckmann manifolds can be seen as LVMB manifolds. The LVM manifolds have a natural action of a real torus and the quotient of this action is a polytope. This quotient allows us to relate closely LVM manifolds to the moment-angle manifolds studied by Buchstaber and Panov. Our aim is to generalize the polytope associated to a LVM manifold to the LVMB case and study the properties of this generalization....
Lyndon words and transition matrices between elementary, homogeneous and monomial symmetric functions.