Symmetric pairs and moment spaces
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- October 1998
- DOI:
- 10.48550/arXiv.math/9810064
- arXiv:
- arXiv:math/9810064
- Bibcode:
- 1998math.....10064L
- Keywords:
-
- Symplectic Geometry;
- Differential Geometry;
- 53C15 (Primary);
- 53C35;
- 58F05;
- 17B99;
- 22E15 (Secondary)
- E-Print:
- 16 pages