3 families of 4-dimensional lattices $L_k, M_k, M_k / 2 \subset \mathbb{R}^2$ are defined. Each lattice is defined by 2 quadratic extensions and has a \emph{finite} number of unit vectors, but the number of unit vectors in each of the 3 familes is \emph{unbounded}. $L_3$ is the Moser lattice.
翻译:定义了三维格族$L_k, M_k, M_k / 2 \subset \mathbb{R}^2$。每个格由两个二次扩张定义,并具有有限数量的单位向量,但这三个族中每个族的单位向量数量是无界的。$L_3$是莫泽格。