Spin_c quantization and the K-multiplicities of the discrete series

2001/03/30 by Paul-Emile Paradan, Paradan, Paul-Emile · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Representation Theory (math.RT) #Symplectic Geometry (math.SG) #math.DG #math.RT #math.SG

paper · pdf · doi:10.48550/arxiv.math/0103222

42 pages, new introduction

arxiv created 2002/11/19 · arxiv updated 2009/11/30

Abstract

In 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.

Cited by

• Slices for reductive group actions in algebraic and holomorphic symplectic geometry

Related

• Multiplicities of the discrete series
• Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series
• Spin-quantization commutes with reduction
• Quantization commutes with singular reduction: cotangent bundles of compact Lie groups
• Admissible coadjoint orbits for compact Lie groups