Mostrar el registro sencillo del ítem
Monomial bases related to the n! conjecture
| hal.structure.identifier | Théorie des Nombres et Algorithmique Arithmétique [A2X] | |
| hal.structure.identifier | Laboratoire Bordelais de Recherche en Informatique [LaBRI] | |
| dc.contributor.author | AVAL, Jean-Christophe | |
| dc.date.created | 1999 | |
| dc.date.issued | 2000 | |
| dc.identifier.issn | 0012-365X | |
| dc.description.abstractEn | The purpose of this paper is to find a new way to prove the $n!$ conjecture for particular partitions. The idea is to construct a monomial and explicit basis for the space $M_{\mu}$. We succeed completely for hook-shaped partitions, i.e., $\mu=(K+1,1^L)$. We are able to exhibit a basis and to verify that its cardinality is indeed $n!$, that it is linearly independent and that it spans $M_{\mu}$. We derive from this study an explicit and simple basis for $I_{\mu}$, the annihilator ideal of $\Delta_{\mu}$. This method is also successful for giving directly a basis for the homogeneous subspace of $M_{\mu}$ consisting of elements of $0$ $x$-degree. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Monomial bases related to the n! conjecture | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
| dc.identifier.arxiv | 0711.0898 | |
| bordeaux.journal | Discrete Mathematics | |
| bordeaux.page | 15-35 | |
| bordeaux.volume | 224 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00185510 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00185510v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Discrete%20Mathematics&rft.date=2000&rft.volume=224&rft.spage=15-35&rft.epage=15-35&rft.eissn=0012-365X&rft.issn=0012-365X&rft.au=AVAL,%20Jean-Christophe&rft.genre=article |
Archivos en el ítem
| Archivos | Tamaño | Formato | Ver |
|---|---|---|---|
|
No hay archivos asociados a este ítem. |
|||