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Titlebook: Geometric Methods in Physics; XXXIV Workshop, Biał Piotr Kielanowski,S. Twareque Ali,Theodore Voronov Conference proceedings 2016 Springer

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Representations of Nilpotent Lie Groups via Measurable Dynamical Systems that ergodicity of the dynamical system under consideration is equivalent to irreducibility of its corresponding unitary representation. This general result is applied to some representations of finite-dimensional nilpotent Lie groups and to some representations of infinite-dimensional Heisenberg g
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Momentum Maps for Smooth Projective Unitary Representations Kähler manifold. We show that the action of G on P(H∞) is weakly Hamiltonian, and lifts to a Hamiltonian action of the central U(1)- extension G. obtained from the projective representation. We identify the non-equivariance cocycles obtained from the weakly Hamiltonian action with those obtained fr
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