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.
Mots clés : Eutactic lattices, spherical designs, kissing number, bipartite graphs
@article{JTNB_2005__17_2_455_0, author = {Berg\'e, Anne-Marie and Martinet, Jacques}, 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}, mrnumber = {2211301}, zbl = {1093.11050}, language = {en}, url = {http://www.numdam.org/articles/10.5802/jtnb.501/} }
TY - JOUR AU - Bergé, Anne-Marie AU - Martinet, Jacques TI - Sublattices of certain Coxeter lattices JO - Journal de Théorie des Nombres de Bordeaux PY - 2005 DA - 2005/// SP - 455 EP - 465 VL - 17 IS - 2 PB - Université Bordeaux 1 UR - http://www.numdam.org/articles/10.5802/jtnb.501/ UR - https://www.ams.org/mathscinet-getitem?mr=2211301 UR - https://zbmath.org/?q=an%3A1093.11050 UR - https://doi.org/10.5802/jtnb.501 DO - 10.5802/jtnb.501 LA - en ID - JTNB_2005__17_2_455_0 ER -
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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