2 problems

Let $n\geq m$, let $\mathcal{L}$ be a $2mn$-dimensional lattice in $M_n(\mathbb{C})$, and suppose that … Here $\Delta_m(\mathcal{L})$ denotes the infimum of the products of the sma…

Let ${\mathcal D}$ be an index $n$ ${\mathbb Q}$-central division algebra, let $\Lambda\subset {\mathcal D}$ be an order, and let $\psi_{reg}$ denote its regular representation in…