Bases explicites et conjecture n!
| 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 construct a monomial and explicit basis for the space $M_μ$ relative to the $n!$ conjecture. We succeed completely for hook-shaped partitions, i.e. $μ=(K+1,1^L)$. We are indeed able to exhibit a basis and to verify that its cardinality is $n!$, that it is linearly independent and that it spans $M_μ$. We deduce from this study an explicit and simple basis for $I_μ$, the annulator ideal of $Δ_μ$. This method is also successful for giving directly a basis for the homogeneous subspace of $M_μ$ consisting of elements of 0 $x$-degree. | |
| dc.identifier | https://arxiv.org/abs/0711.0899 | |
| dc.identifier | http://arxiv.org/abs/0711.0899 | |
| dc.identifier | Dans Formal Power Series and Algebraic Combinatorics - Formal Power Series and Algebraic Combinatorics, Moscou : Russie (1999) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141551 | |
| dc.subject | Combinatorics | |
| dc.title | Bases explicites et conjecture n! | |
| dc.type | text |