Vanishing ideals of Lattice Diagram determinants
| 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 | Department of Mathematics and Statistics [Toronto] | |
| dc.contributor.author | BERGERON, N. | |
| dc.date.created | 2001-07-20 | |
| dc.date.issued | 2002 | |
| dc.identifier.issn | 0097-3165 | |
| dc.description.abstractEn | A lattice diagram is a finite set $L=\{(p_1,q_1),... ,(p_n,q_n)\}$ of lattice cells in the positive quadrant. The corresponding lattice diagram determinant is $\Delta_L(\X;\Y)=\det \| x_i^{p_j}y_i^{q_j} \|$. The space $M_L$ is the space spanned by all partial derivatives of $\Delta_L(\X;\Y)$. We denote by $M_L^0$ the $Y$-free component of $M_L$. For $\mu$ a partition of $n+1$, we denote by $\mu/ij$ the diagram obtained by removing the cell $(i,j)$ from the Ferrers diagram of $\mu$. Using homogeneous partially symmetric polynomials, we give here a dual description of the vanishing ideal of the space $M_\mu^0$ and we give the first known description of the vanishing ideal of $M_{\mu/ij}^0$. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Vanishing ideals of Lattice Diagram determinants | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
| dc.subject.hal | Mathématiques [math]/Géométrie algébrique [math.AG] | |
| dc.identifier.arxiv | math/0107155 | |
| bordeaux.journal | Journal of Combinatorial Theory, Series A | |
| bordeaux.page | 244-260 | |
| bordeaux.volume | 99 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00185466 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00185466v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Combinatorial%20Theory,%20Series%20A&rft.date=2002&rft.volume=99&rft.spage=244-260&rft.epage=244-260&rft.eissn=0097-3165&rft.issn=0097-3165&rft.au=AVAL,%20Jean-Christophe&BERGERON,%20N.&rft.genre=article |
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