Embedding theory of lattices and its application for $2$-integrable lattices

Qianqian Yang, Kiyoto Yoshino

For a positive integer $s$, a lattice $L$ is said to be $s$-integrable if $\sqrt{s}\cdot L$ is isometric to a sublattice of ${\mathbb{Z}}^n$ for some integer $n$. Conway and Sloane f…