Schur Partial Derivative Operators
| 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, Nantel | |
| dc.date.created | 2001-11-22 | |
| dc.date.issued | 2005 | |
| dc.identifier.issn | 0195-6698 | |
| dc.description.abstractEn | A lattice diagram is a finite list L=((p_1,q_1),...,(p_n,q_n) of lattice cells. The corresponding lattice diagram determinant is \Delta_L(X;Y)=\det \| x_i^{p_j}y_i^{q_j} \|. These lattice diagram determinants are crucial in the study of the so-called ``n! conjecture'' of A. Garsia and M. Haiman. The space M_L is the space spanned by all partial derivatives of \Delta_L(X;Y). The ``shift operators'', which are particular partial symmetric derivative operators are very useful in the comprehension of the structure of the M_L spaces. We describe here how a Schur function partial derivative operator acts on lattice diagrams with distinct cells in the positive quadrant. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
| dc.identifier.arxiv | math/0111246 | |
| bordeaux.journal | European Journal of Combinatorics | |
| bordeaux.page | 785-794 | |
| bordeaux.volume | 26 | |
| bordeaux.issue | 6 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00185469 | |
| hal.version | 1 | |
| dc.title.it | Schur Partial Derivative Operators | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00185469v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=European%20Journal%20of%20Combinatorics&rft.date=2005&rft.volume=26&rft.issue=6&rft.spage=785-794&rft.epage=785-794&rft.eissn=0195-6698&rft.issn=0195-6698&rft.au=AVAL,%20Jean-Christophe&BERGERON,%20Nantel&rft.genre=article |
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