Cartan decomposition of the moment map

Details Cartan decomposition of the moment map Cartan decomposition of the moment map

2005-02-24

arxiv.org/abs/math/0502515v1

Mathematics

Complex Variables

27 pages

Scientific paper

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.

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