Extreme lattices and vexillar designs
| dc.creator | Meyer, Bertrand | |
| dc.date | 2008-12-14 | |
| dc.date.accessioned | 2026-07-07T12:12:48Z | |
| dc.date.available | 2026-07-07T12:12:48Z | |
| dc.description | 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.description | 16pages | |
| dc.identifier | https://arxiv.org/abs/0812.2659 | |
| dc.identifier | http://arxiv.org/abs/0812.2659 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210666 | |
| dc.subject | Combinatorics | |
| dc.subject | Number Theory | |
| dc.subject | 05B30, 14M15, 20C15 | |
| dc.title | Extreme lattices and vexillar designs | |
| dc.type | text |