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arXiv · 1605.00908

Polar symplectic representations

Laura Geatti·Claudio Gorodski
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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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Laura Geatti, Claudio Gorodski. 2016-05-03. Polar symplectic representations. https://doi.org/10.1007/s10468-016-9663-y

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