The Dirac operator on compact symmetric spaces
Representation Theory
2010-08-27 v1 Differential Geometry
Abstract
Let G be a compact connected semisimple Lie group and let H\subset G be a closed connected subgroup such that rank(G)=rank(H) and G/H is a symmetric space. Given an irreducible representation of H, we define a Dirac operator D and determine the representations of G in the kernel of D. Moreover, we show that any irreducible representation of G can be constructed in this way. Our approach is similar to that of Parthasarathy.
Cite
@article{arxiv.1008.4374,
title = {The Dirac operator on compact symmetric spaces},
author = {Emiko Dupont},
journal= {arXiv preprint arXiv:1008.4374},
year = {2010}
}
Comments
Masters thesis from 2003