Spin_c quantization and the K-multiplicities of the discrete series

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.

42 pages, new introduction

References in corpus (1)

• Two Dimensional Gauge Theories Revisited

Cited by in corpus (1)

• Functorial quantization and the Guillemin-Sternberg conjecture