Cartan decomposition of the moment map

By P. Heinzner, Gerald W. Schwarz. 2005

68 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/41c709530b2cf4287ed1b0fd08c811a4fa18f7ab

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

1. H. Stoetzel
2. P. Heinzner
3. Gerald W. Schwarz

Citations in the corpus

• Stratifications with respect to actions of real reductive groups (2006, background): “hat SG(Mp(β))(X) is open in X for any locally closed G-stable submanifold X of Z. Since we have fixed X, we usually write SG(Mp(β)) for SG(Mp(β))(X). The set of semistable points plays a major role in [HSch07]. One reason for this is the quotient theorem which we now formulate. Let Y ⊂ Z be G-stable ”