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The centralizer of invariant functions and division properties of the moment map

The centralizer of invariant functions and division properties of the moment map

In Section 2 of this paper we show that the centralizer of the algebra of invariant functions is the algebra of functions that are constant on the level sets of the moment map.In fact, these two algebras are mutual centralizers in the Poisson algebra C (M). See Theorem and Corollary …