On 3-lattices and spherical designs
On 3-lattices and spherical designs
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关于 3 格子和球形设计
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发表时间：
2008
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通讯作者：
J. Shigezumi
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作者：
J. Shigezumi
由范数$q$的向量生成的积分格称为$q$-格。Mimura （On 3-lattice, 2006）给出了不超过4维的3格的分类。作为扩展，我们给出了不超过7维的3格分类。此外，我们从其外壳考虑球形设计。
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.