2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/209208The purpose of this paper is to show that the multiplicities of a discrete series representation relatively to a compact subgroup can be "computed" geometrically, in the way predicted by the "qantization commutes with reduction" principle of Guillemin-Sternberg.Representation TheorySymplectic GeometryMultiplicities of the discrete seriestext