On 3-lattices and spherical designs
Combinatorics
2008-10-27 v1
Abstract
An integral lattice which is generated by some vectors of norm is called -lattice. Classification of 3-lattices of dimension at most four is given by Mimura (On 3-lattice, 2006). As a expansion, we give a classification of 3-lattices of dimension at most seven. In addition, we consider the spherical designs from its shells.
Keywords
Cite
@article{arxiv.0810.4373,
title = {On 3-lattices and spherical designs},
author = {Junichi Shigezumi},
journal= {arXiv preprint arXiv:0810.4373},
year = {2008}
}
Comments
199 pages, http://www2.math.kyushu-u.ac.jp/~j.shigezumi/L3/