A note on sub-orthogonal lattices

Abstract

It is shown that, given any $k$-dimensional lattice $\Lambda$, there is a lattice sequence ${\Lambda }_w$, $w\in \mathbb{Z}$, with sub-orthogonal lattice ${\Lambda }_o\subset \Lambda$, converging to $\Lambda$ (unless equivalence), also we discuss the conditions for faster convergence.

14 pages, no figures