Bases explicites et conjecture n!
| 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.date.conference | 1999 | |
| dc.description.abstractEn | The aim of this work is to construct a monomial and explicit basis for the space $M_{\mu}$ relative to the $n!$ conjecture. We succeed completely for hook-shaped partitions, i.e. $\mu=(K+1,1^L)$. 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 $M_{\mu}$. We deduce from this study an explicit and simple basis for $I_{\mu}$, the annulator 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 | fr | |
| dc.publisher | Springer-Verlag | |
| dc.source.title | Formal Power Series and Algebraic Combinatorics | |
| dc.title | Bases explicites et conjecture n! | |
| dc.type | Communication dans un congrès avec actes | |
| dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
| dc.identifier.arxiv | 0711.0899 | |
| bordeaux.page | 103-112 | |
| bordeaux.country | RU | |
| bordeaux.title.proceeding | Formal Power Series and Algebraic Combinatorics | |
| bordeaux.conference.city | Moscou | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00185520 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00185520v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Bases%20explicites%20et%20conjecture%20n!&rft.btitle=Formal%20Power%20Series%20and%20Algebraic%20Combinatorics&rft.atitle=Bases%20explicites%20et%20conjecture%20n!&rft.date=2000&rft.spage=103-112&rft.epage=103-112&rft.au=AVAL,%20Jean-Christophe&rft.genre=proceeding |
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