Spin_c quantization and the K-multiplicities of the discrete series

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61177In this paper we show that the `quantization commutes with reduction' principle of Guillemin-Sternberg holds for the coadjoint orbits that parametrize the discrete series of a real connected semi-simple Lie group.42 pages, new introductionDifferential GeometryRepresentation TheorySymplectic GeometrySpin_c quantization and the K-multiplicities of the discrete seriestext