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.
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.
@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}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {45}, number = {5}, year = {1995}, doi = {10.5802/aif.1490}, mrnumber = {96j:11093}, zbl = {0843.11033}, language = {en}, url = {http://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 - http://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 http://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. http://www.numdam.org/articles/10.5802/aif.1490/
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