On 3-lattices and spherical designs

Details On 3-lattices and spherical designs On 3-lattices and spherical designs

2008-10-24

arxiv.org/abs/0810.4373v1

Mathematics

Combinatorics

199 pages, http://www2.math.kyushu-u.ac.jp/~j.shigezumi/L3/

Scientific paper

An integral lattice which is generated by some vectors of norm $q$ is called
$q$-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.

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