2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119908In this article, we prove that a lattice representation of the Heisenberg group $H_{\mathbb R}^{(g,h)}$ associated to a lattice $L$ and a positive definite symmetric half-integral matrix M of degree $h$ is unitarily equivalent to the direct sum of $(det 2M)^g$ copies of the Schroedinger representation of $H_{\mathbb R}^{(g,h)}$.16 pages, change of page heightRepresentation TheoryNumber Theory22E27; 11F27text