2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/89905In this paper we present a new procedure to obtain unitary and irreducible representations of Lie groups starting from the cotangent bundle of the group (the cotangent group). We discuss some applications of the construction in quantum-optics problems.Latex,31 pages, submitted to Journal of Russian Laser ResearchQuantum PhysicsGeometrical Aspects of Lie Groups Representations and Their Optical Applicationstext