AVAL, Jean-Christophe; BERGERON, N.

Métadonnées

Licence d’utilisation du document

AVAL, Jean-Christophe
Laboratoire Bordelais de Recherche en Informatique [LaBRI]
Théorie des Nombres et Algorithmique Arithmétique [A2X]

BERGERON, N.
Department of Mathematics and Statistics [Toronto]

Langue

Article de revue

Ce document a été publié dans

Journal of Combinatorial Theory, Series A. 2002, vol. 99, p. 244-260

Elsevier

Résumé en anglais

A lattice diagram is a finite set $L=\{(p_1,q_1),... ,(p_n,q_n)\}$ of lattice cells in the positive quadrant. The corresponding lattice diagram determinant is $\Delta_L(\X;\Y)=\det \| x_i^{p_j}y_i^{q_j} \|$. The space $M_L$ is the space spanned by all partial derivatives of $\Delta_L(\X;\Y)$. We denote by $M_L^0$ the $Y$-free component of $M_L$. For $\mu$ a partition of $n+1$, we denote by $\mu/ij$ the diagram obtained by removing the cell $(i,j)$ from the Ferrers diagram of $\mu$. Using homogeneous partially symmetric polynomials, we give here a dual description of the vanishing ideal of the space $M_\mu^0$ and we give the first known description of the vanishing ideal of $M_{\mu/ij}^0$.< Réduire

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251