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Polar symplectic representations (1605.00908v2)
Published 3 May 2016 in math.RT and math.SG
Abstract: We study polar representations in the sense of Dadok and Kac which are symplectic. We show that such representations are coisotropic and use this fact to give a classification. We also study their moment maps and prove that they separate closed orbits. Our work can also be seen as a specialization of some of the results of Knop on multiplicity free symplectic representations to the polar case.
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