Abstract
A way to separate irreducible unitary representations π for a Lie group G by moment sets is to use an infinite-dimensional overgroup G ˜ and extensions of each representation π to a representation π ˜ of G ˜ , in such a manner that the moment set of π ˜ characterizes π . In this paper we propose a universal overgroup G ˜ , which is an infinite-dimensional Fréchet–Lie group. We extend each π to a Hamiltonian action π ˜ of G ˜ . The moment set of π ˜ characterizes π .
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