Admissible coadjoint orbits for compact Lie groups

TL;DR

This paper characterizes the admissible coadjoint orbits of compact Lie groups and explores their spin-c quantization, providing insights into their geometric and representation-theoretic properties.

Contribution

It offers a detailed description of admissible coadjoint orbits and their spin-c quantization, advancing understanding in geometric representation theory.

Findings

Classification of admissible coadjoint orbits

Connection between orbits and spin-c quantization

Implications for representation theory

Abstract

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