Cartan decomposition of the moment map
Complex Variables
2007-05-23 v1 Representation Theory
Symplectic Geometry
Abstract
We investigate a class of actions of real Lie groups on complex spaces. Using moment map techniques we establish the existence of a quotient and a version of Luna's slice theorem as well as a version of the Hilbert-Mumford criterion. A global slice theorem is proved for proper actions. We give new proofs of results of Mostow on decompositions of groups and homogeneous spaces.
Keywords
Cite
@article{arxiv.math/0502515,
title = {Cartan decomposition of the moment map},
author = {P. Heinzner and G. W. Schwarz},
journal= {arXiv preprint arXiv:math/0502515},
year = {2007}
}
Comments
27 pages