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.Comment: 19 page
