The Centralizer of Invariant Functions and Division Properties of the Moment Map

Details The Centralizer of Invariant Functions and Division Properties of the Moment Map The Centralizer of Invariant Functions and Division Properties of the Moment Map

1995-06-15

arxiv.org/abs/dg-ga/9506008v2

Mathematics

Differential Geometry

We essentially rewrote the paper. 22 pages, LaTeX2e. Will appear in the Illinois Journal of Mathematics in late 1997

Scientific paper

Let Phi : M --> g^* be a proper moment map associated to an action of a compact connected Lie group, G, on a connected symplectic manifold, (M,\omega). A collective function is a pullback via \Phi of a smooth function on g^*. In this paper we present four new results about the relationship between the collective functions and the G-invariant functions in the Poisson algebra of smooth functions on M.

Affiliated with

Also associated with

No associations

Rating

The Centralizer of Invariant Functions and Division Properties of the Moment Map does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Centralizer of Invariant Functions and Division Properties of the Moment Map, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Centralizer of Invariant Functions and Division Properties of the Moment Map will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-590875