Polar orthogonal representations of real reductive algebraic groups

Details Polar orthogonal representations of real reductive algebraic groups Polar orthogonal representations of real reductive algebraic groups

2008-01-03

arxiv.org/abs/0801.0574v1

Mathematics

Representation Theory

23 pages, Latex

Scientific paper

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.

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