paper

Polar orthogonal representations of real reductive algebraic groups

arXiv:0801.0574

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.

23 pages, Latex

Polar orthogonal representations of real reductive algebraic groups · wovepaper