Polar symplectic representations
Representation Theory
2017-05-22 v2 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1605.00908,
title = {Polar symplectic representations},
author = {Laura Geatti and Claudio Gorodski},
journal= {arXiv preprint arXiv:1605.00908},
year = {2017}
}
Comments
19 pages