Article ID Journal Published Year Pages File Type
4587731 Journal of Algebra 2008 26 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory