2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118064We classify connected Lie groups which are locally isomorphic to generalized Heisenberg groups. For a given generalized Heisenberg group $N$, there is a one-to-one correspondence between the set of isomorphism classes of connected Lie groups which are locally isomorphic to $N$ and a union of certain quotients of noncompact Riemannian symmetric spaces.7 pagesDifferential GeometryRepresentation Theory53C30; 22E25text