Symmetric pairs and moment spaces
Symplectic Geometry
2007-05-23 v1 Differential Geometry
Abstract
For a Lie group G, we seek the right definition of a "moment space" for G. One axiom is clear, involving a closed equivariant three-form. We construct this form for symmetric spaces associated to a symmetric pair (H,G) with an additional structure. Furthermore, we prove a decomposition theorem for these pairs over a compact, connected, and semisimple Lie group.
Cite
@article{arxiv.math/9810064,
title = {Symmetric pairs and moment spaces},
author = {Matthew Leingang},
journal= {arXiv preprint arXiv:math/9810064},
year = {2007}
}
Comments
16 pages