no. 2
Sublattices of certain Coxeter lattices
Journal de Théorie des Nombres de Bordeaux, Tome 17 (2005) no. 2, pp. 455-465.

Dans cet article, nous décrivons les sous-réseaux de certains réseaux de Coxeter, prolongeant les résultats de [Ber]. Notre description utilise des graphes.

In this paper, we describe the sublattices of some lattices, extending previous results of [Ber]. Our description makes intensive use of graphs.

DOI : https://doi.org/10.5802/jtnb.501
Mots clés : Eutactic lattices, spherical designs, kissing number, bipartite graphs 
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     title = {Sublattices of certain {Coxeter} lattices},
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Bergé, Anne-Marie; Martinet, Jacques. Sublattices of certain Coxeter lattices. Journal de Théorie des Nombres de Bordeaux, Tome 17 (2005) no. 2, pp. 455-465. doi : 10.5802/jtnb.501. http://www.numdam.org/articles/10.5802/jtnb.501/

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[Cox] H.S.M. Coxeter, Extreme forms. Canad. J. Math. 3 (1951), 391–441. | MR 44580 | Zbl 0044.04201

[Mar] J. Martinet, Perfect Lattices in Euclidean Spaces. Grundlehren 327, Springer-Verlag, Heidelberg, 2003. | MR 1957723 | Zbl 1017.11031

[Ven] B. Venkov, Réseaux et designs sphériques (notes by J. Martinet). In Réseaux euclidiens, designs sphériques et groupes, L’Ens. Math., Monographie 37, J. Martinet ed., Genève (2001), 10–86. | Zbl 02140363

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