Generalised Hermite Constants, Voronoi Theory and Heights on Flag Varieties
Langue
en
Article de revue
Ce document a été publié dans
Bulletin de la société mathématique de France. 2009-01-01, vol. 137, n° 1, p. p 127-158
Société Mathématique de France
Résumé en anglais
This paper explores the study of the general Hermite constant associated to the general linear group and its irreducible representations, as defined by T. Watanabe. To that end, a height, which naturally applies to flag ...Lire la suite >
This paper explores the study of the general Hermite constant associated to the general linear group and its irreducible representations, as defined by T. Watanabe. To that end, a height, which naturally applies to flag varieties, is built and notions of perfection and eutaxy characterising extremality are introduced. Finally we acquaint some relations (e.g. with Korkine--Zolotareff reduction), upper bounds and computation relative to these constants.< Réduire
Mots clés en anglais
Hermite constant
Voronoi theory
Origine
Importé de halUnités de recherche