Polar orthogonal representations of real reductive algebraic groups
classification
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math.DG
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realreductivealgebraicorthogonalpolargroupsrepresentationrepresentations
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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.
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