Extreme lattices and vexillar designs
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MEYER, Bertrand | |
| dc.date.accessioned | 2024-04-04T02:43:35Z | |
| dc.date.available | 2024-04-04T02:43:35Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191345 | |
| dc.description.abstractEn | We define a notion of vexillar design for the flag variety in the spirit of the spherical designs introduced by Delsarte, Goethals and Seidel. For a finite subgroup of the orthogonal group, we explain how conditions on the group have the orbits of any flag under the group action be a design and point out why the minima of a lattice in the sense of the general Hermite constant forming a 4-design implies being extreme. The reasoning proves useful to show the extremality of many new expected examples ($E_8$, $\La_{24}$, Barnes-Wall lattices, Thompson-Smith lattice for instance) that were out of reach until now. | |
| dc.language.iso | en | |
| dc.subject.en | designs | |
| dc.subject.en | lattice | |
| dc.subject.en | Hermite constant | |
| dc.subject.en | strong perfection | |
| dc.title | Extreme lattices and vexillar designs | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Combinatoire [math.CO] | |
| dc.subject.hal | Mathématiques [math]/Théorie des nombres [math.NT] | |
| dc.identifier.arxiv | 0812.2659 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00346940 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00346940v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.title=Extreme%20lattices%20and%20vexillar%20designs&rft.atitle=Extreme%20lattices%20and%20vexillar%20designs&rft.au=MEYER,%20Bertrand&rft.genre=preprint |
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