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Théorème de Vorono\"\i\ dans les espaces symétriques

  Published:2002-06-01
 Printed: Jun 2002
  • H. Akrout
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Abstract

On d\'emontre un th\'eor\`eme de Vorono\"\i\ (caract\'erisation des maxima locaux de l'invariant d'Hermite) pour les familles de r\'eseaux param\'etr\'ees par les espaces sym\'etriques irr\'e\-ductibles non exceptionnels de type non compact. We prove a theorem of Vorono\"\i\ type (characterisation of local maxima of the Hermite invariant) for the lattices parametrized by irreducible nonexceptional symmetric spaces of noncompact type.
Keywords: réseaux, théorème de Vorono\"\i, espaces symétriques réseaux, théorème de Vorono\"\i, espaces symétriques
MSC Classifications: 11H06, 53C35 show english descriptions Lattices and convex bodies [See also 11P21, 52C05, 52C07]
Symmetric spaces [See also 32M15, 57T15]
11H06 - Lattices and convex bodies [See also 11P21, 52C05, 52C07]
53C35 - Symmetric spaces [See also 32M15, 57T15]
 

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