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.
Geatti, L., Gorodski, C. (2017). Polar Symplectic Representations. ALGEBRAS AND REPRESENTATION THEORY, 20(3), 751-764 [10.1007/s10468-016-9663-y].
Polar Symplectic Representations
Geatti, Laura;
2017-01-01
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.File in questo prodotto:
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