2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67571In this article we describe the coadjoint orbits of SL(2,$\mathbb R$). After choosing polarizations for each orbits, we pointed out the corresponding quantum coadjoint orbits and therefore unitary representations of SL(2,$\mathbb R$) via deformation quantization.LaTeX2e, no figureQuantum AlgebraRepresentation TheoryDeformation quantization and quantum coadjoint orbits of SL(2,R)text