Some interesting lattices can be constructed using association schemes. We illustrate this by a unimodular lattice without roots of dimension 28 which admits as its automorphism group.
On peut obtenir certains réseaux intéressants à partir de schémas d’association. Nous construisons un tel réseau sans racines en dimension 28 qui admet comme groupe d’automorphismes.
@article{AIF_1995__45_5_1163_0,
author = {Bacher, Roland and Venkov, Boris},
title = {Lattices and association schemes: a unimodular example without roots in dimension 28},
journal = {Annales de l'Institut Fourier},
pages = {1163--1176},
year = {1995},
publisher = {Association des Annales de l'Institut Fourier},
volume = {45},
number = {5},
doi = {10.5802/aif.1490},
mrnumber = {96j:11093},
zbl = {0843.11033},
language = {en},
url = {https://www.numdam.org/articles/10.5802/aif.1490/}
}
TY - JOUR AU - Bacher, Roland AU - Venkov, Boris TI - Lattices and association schemes: a unimodular example without roots in dimension 28 JO - Annales de l'Institut Fourier PY - 1995 SP - 1163 EP - 1176 VL - 45 IS - 5 PB - Association des Annales de l'Institut Fourier UR - https://www.numdam.org/articles/10.5802/aif.1490/ DO - 10.5802/aif.1490 LA - en ID - AIF_1995__45_5_1163_0 ER -
%0 Journal Article %A Bacher, Roland %A Venkov, Boris %T Lattices and association schemes: a unimodular example without roots in dimension 28 %J Annales de l'Institut Fourier %D 1995 %P 1163-1176 %V 45 %N 5 %I Association des Annales de l'Institut Fourier %U https://www.numdam.org/articles/10.5802/aif.1490/ %R 10.5802/aif.1490 %G en %F AIF_1995__45_5_1163_0
Bacher, Roland; Venkov, Boris. Lattices and association schemes: a unimodular example without roots in dimension 28. Annales de l'Institut Fourier, Tome 45 (1995) no. 5, pp. 1163-1176. doi: 10.5802/aif.1490
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