Polar symplectic representations

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.

19 pages

References in corpus (3)

• Invariant functions on symplectic representations
• Classification of multiplicity free symplectic representations
• Symplectic Symmetric Spaces

Cited by in corpus (1)

• Multiplicity-free representations and coisotropic actions of certain nilpotent Lie groups over quasi-symmetric Siegel domains