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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Polar Symplectic Representations

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Author(s):
Geatti, Laura ; Gorodski, Claudio
Total Authors: 2
Document type: Journal article
Source: ALGEBRAS AND REPRESENTATION THEORY; v. 20, n. 3, p. 751-764, JUN 2017.
Web of Science Citations: 0
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. (AU)

FAPESP's process: 11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry
Grantee:Paolo Piccione
Support Opportunities: Research Projects - Thematic Grants