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
@article{JTNB_2005__17_2_455_0,
author = {Anne-Marie Berg\'e and Jacques Martinet},
title = {Sublattices of certain Coxeter lattices},
journal = {Journal de Th\'eorie des Nombres de Bordeaux},
pages = {455--465},
publisher = {Universit\'e Bordeaux 1},
volume = {17},
number = {2},
year = {2005},
doi = {10.5802/jtnb.501},
zbl = {1093.11050},
mrnumber = {2211301},
language = {en},
url = {https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.501/}
}
Anne-Marie Bergé; Jacques Martinet. 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. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.501/
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