Symplectic convexity theorems and coadjoint orbits
Joachim Hilgert, Karl-Hermann Neeb, Werner Plank (1994)
Compositio Mathematica
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Displaying similar documents to “A symplectic approach to van den Ban's convexity theorem.”
Symplectic convexity theorems and coadjoint orbits
Hyper-Lie Poisson structures
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We prove that the linearization functor from the category of Hamiltonian -actions with group-valued moment maps in the sense of Lu, to the category of ordinary Hamiltonian - actions, preserves products up to symplectic isomorphism. As an application, we give a new proof of the Thompson conjecture on singular values of matrix products and extend this result to the case of real matrices. We give a formula for the Liouville volume of these spaces and obtain from it a hyperbolic version...
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