Decomposition of the diagonal action of on the coinvariant space of .
Determinantal expression and recursion for Jack polynomials.
Determinantal transition kernels for some interacting particles on the line
We find the transition kernels for four markovian interacting particle systems on the line, by proving that each of these kernels is intertwined with a Karlin–McGregor-type kernel. The resulting kernels all inherit the determinantal structure from the Karlin–McGregor formula, and have a similar form to Schütz’s kernel for the totally asymmetric simple exclusion process.
Determination of the structure of algebraic curvature tensors by means of Young symmetrizers.
Diagonal Temperley-Lieb invariants and harmonics.
Diamond representations of
In [6], there is a graphic description of any irreducible, finite dimensional module. This construction, called diamond representation is very simple and can be easily extended to the space of irreducible finite dimensional -modules.In the present work, we generalize this construction to . We show it is in fact a description of the reduced shape algebra, a quotient of the shape algebra of . The basis used in [6] is thus naturally parametrized with the so called quasi standard Young tableaux....
Differential estimate for -ary forms on closed orthants.
Dimensions of components of tensor products of representations of linear groups with applications to Beurling-Fourier algebras
We give universal upper bounds on the relative dimensions of isotypic components of a tensor product of representations of the linear group GL(n) and universal upper bounds on the relative dimensions of irreducible components of a tensor product of representations of the special linear group SL(n). This problem is motivated by harmonic analysis problems, and we give some applications to the theory of Beurling-Fourier algebras.
Disconnected vertex sets and equidistant code pairs.
Discovering hook length formulas by an expansion technique.
Discrete excursions.
Distinguishing maps.
Distinguishing number of countable homogeneous relational structures.
Divided differences and symmetric functions
L'operatore di differenze multivariate è utilizzato per stabilire varie formule di somme riguardanti le funzioni simmetriche, le quali hanno uno stretto legame con le identità del «termine costante».
Domino Fibonacci tableaux.
Domino tableaux, functions and plethysms. (Tableaux de dominos, fonctions et plethysmes.)
Double crystals of binary and integral matrices.
Double Schubert polynomials and degeneracy loci for the classical groups
We propose a theory of double Schubert polynomials for the Lie types , , which naturally extends the family of Lascoux and Schützenberger in type . These polynomials satisfy positivity, orthogonality and stability properties, and represent the classes of Schubert varieties and degeneracy loci of vector bundles. When is a maximal Grassmannian element of the Weyl group, can be expressed in terms of Schur-type determinants and Pfaffians, in analogy with the type formula of Kempf and Laksov....
Duality of antidiagonals and pipe dreams.