Symmetric Groups and Lattices
نویسنده
چکیده
This paper deals with various problems in lattice theory involving local extrema. In particular, we construct infinite series of highly symmetric spherical 3-designs which include some of the examples constructed in [9] in dimensions 5 and 7. We also construct new types of dual-extreme lattices. Résumé. Quelques applications de l’algorithme de Voronöı équivariant. Nous considérons dans cet article divers problèmes de la théorie des réseaux liés à des questions d’extrema locaux. En particulier, nous construisons des séries infinies de 3-designs sphériques qui englobent certains de ceux construits dans [9] en dimensions 5 et 7. Nous construisons également de nouveaux types de réseaux dual-extrêmes.
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