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}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {45}, number = {5}, year = {1995}, doi = {10.5802/aif.1490}, zbl = {0843.11033}, mrnumber = {96j:11093}, language = {en}, url = {https://aif.centre-mersenne.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://aif.centre-mersenne.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://aif.centre-mersenne.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, Volume 45 (1995) no. 5, pp. 1163-1176. doi : 10.5802/aif.1490. https://aif.centre-mersenne.org/articles/10.5802/aif.1490/
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