Polar orthogonal representations of real reductive algebraic groups

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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

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Representation Theory, Differential Geometry, 22E45; 15A72, 53C12

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http://salesiana.dossiersoluciones.com/handle/123456789/145265

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.0574
 http://arxiv.org/abs/0801.0574

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arXiv