Polar orthogonal representations of real reductive algebraic groups
Representation Theory
2008-01-04 v1 Differential Geometry
Abstract
We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space. We also develop a partial structural theory of polar orthogonal representations of real reductive algebraic groups which slightly generalizes some results of the structural theory of real reductive Lie algebras.
Cite
@article{arxiv.0801.0574,
title = {Polar orthogonal representations of real reductive algebraic groups},
author = {Laura Geatti and Claudio Gorodski},
journal= {arXiv preprint arXiv:0801.0574},
year = {2008}
}
Comments
23 pages, Latex