The Centralizer of Invariant Functions and Division Properties of the Moment Map
Abstract
Description
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,ω). A collective function is a pullback via Φof 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.
We essentially rewrote the paper. 22 pages, LaTeX2e. Will appear in the Illinois Journal of Mathematics in late 1997
We essentially rewrote the paper. 22 pages, LaTeX2e. Will appear in the Illinois Journal of Mathematics in late 1997