On projections of arbitrary lattices

Antonio Campello, João Strapasson, Sueli Costa

In this paper we prove that given any two point lattices ${\Lambda }_1\subset {\mathbb{R}}^n$ and ${\Lambda }_2\subset {\mathbb{R}}^{n-k}$, there is a set of $k$ vectors ${\mathbf{v}}_i\in {\Lambda }_1$ s…