Lattice Diagram polynomials in one set of variables
hal.structure.identifier | Laboratoire Bordelais de Recherche en Informatique [LaBRI] | |
hal.structure.identifier | Théorie des Nombres et Algorithmique Arithmétique [A2X] | |
dc.contributor.author | AVAL, Jean-Christophe | |
hal.structure.identifier | Laboratoire d'informatique Algorithmique : Fondements et Applications [LIAFA] | |
dc.contributor.author | BERGERON, Francois | |
hal.structure.identifier | Department of Mathematics and Statistics [Toronto] | |
dc.contributor.author | BERGERON, Nantel | |
dc.date.created | 2001-03-27 | |
dc.date.issued | 2002 | |
dc.identifier.issn | 0196-8858 | |
dc.description.abstractEn | The space $M_{\mu/i,j}$ spanned by all partial derivatives of the lattice polynomial $\Delta_{\mu/i,j}(X;Y)$ is investigated in math.CO/9809126 and many conjectures are given. Here, we prove all these conjectures for the $Y$-free component $M_{\mu/i,j}^0$ of $M_{\mu/i,j}$. In particular, we give an explicit bases for $M_{\mu/i,j}^0$ which allow us to prove directly the central {\sl four term recurrence} for these spaces. | |
dc.language.iso | en | |
dc.publisher | Elsevier | |
dc.title.en | Lattice Diagram polynomials in one set of variables | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
dc.subject.hal | Mathématiques [math]/Théorie des représentations [math.RT] | |
dc.identifier.arxiv | math/0103181 | |
bordeaux.journal | Advances in Applied Mathematics | |
bordeaux.page | 343-359 | |
bordeaux.volume | 28 | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00185464 | |
hal.version | 1 | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00185464v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Advances%20in%20Applied%20Mathematics&rft.date=2002&rft.volume=28&rft.spage=343-359&rft.epage=343-359&rft.eissn=0196-8858&rft.issn=0196-8858&rft.au=AVAL,%20Jean-Christophe&BERGERON,%20Francois&BERGERON,%20Nantel&rft.genre=article |
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