2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57460We present a complete theory, which is a generalization of Bargmann's theory of factors for ray representations. We apply the theory to the generally covariant formulation of the Quantum Mechanics.8 pages, presented at the Symmetry 2003 conference in KievMathematical Physics81TxxGenerally covariant Quantum Mechanicstext