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arXiv:0801.0574 [math.RT]AbstractReferencesReviewsResources

Polar orthogonal representations of real reductive algebraic groups

Laura Geatti, Claudio Gorodski

Published 2008-01-03Version 1

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.

Comments: 23 pages, Latex
Categories: math.RT, math.DG
Subjects: 22E45, 15A72, 53C12
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