Admissible coadjoint orbits for compact Lie groups

Abstract

We describe the admissible coadjoint orbits of a compact connected Lie group and their spin-c quantization.

The authors have decided to divide the preprint "Multiplicities of equivariant Spin-c Dirac operators" into two separate publications. The present paper is one of them, the other part is entitled "Equivariant Dirac operators and differentiable geometric invariant theory" (arXiv:1411.7772, version 3)