Symplectic convexity theorems and coadjoint orbits
Joachim Hilgert, Karl-Hermann Neeb, Werner Plank (1994)
Compositio Mathematica
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Joachim Hilgert, Karl-Hermann Neeb, Werner Plank (1994)
Compositio Mathematica
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Ping Xu (1997)
Annales scientifiques de l'École Normale Supérieure
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Anton Alekseev, Eckhard Meinrenken, Chris Woodward (2001)
Annales de l’institut Fourier
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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...
Pekarsky, Sergey, Marsden, Jerrold E. (2001)
Journal of Applied Mathematics
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Mohsen Masmoudi (1995)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Hermann Flaschka, Tudor Ratiu (1996)
Annales scientifiques de l'École Normale Supérieure
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