On certain spaces of lattice diagram determinants
| dc.creator | Aval, Jean-Christophe | |
| dc.date | 2007-11-06 | |
| dc.date.accessioned | 2026-07-07T08:41:02Z | |
| dc.date.available | 2026-07-07T08:41:02Z | |
| dc.description | The aim of this work is to study some lattice diagram polynomials $Δ_D(X,Y)$. We recall that $M_D$ denotes the space of all partial derivatives of $Δ_D$. In this paper, we want to study the space $M^k_{i,j}(X,Y)$ which is the sum of $M_D$ spaces where the lattice diagrams $D$ are obtained by removing $k$ cells from a given partition, these cells being in the ``shadow'' of a given cell $(i,j)$ of the Ferrers diagram. We obtain an upper bound for the dimension of the resulting space $M^k_{i,j}(X,Y)$, that we conjecture to be optimal. These upper bounds allow us to construct explicit bases for the subspace $M^k_{i,j}(X)$ consisting of elements of 0 $Y$-degree. | |
| dc.identifier | https://arxiv.org/abs/0711.0902 | |
| dc.identifier | http://arxiv.org/abs/0711.0902 | |
| dc.identifier | Dans Actes du colloque LACIM2000 - LaCIM2000, Montréal : Canada (2000) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141553 | |
| dc.subject | Combinatorics | |
| dc.title | On certain spaces of lattice diagram determinants | |
| dc.type | text |