Polar orthogonal representations of real reductive algebraic groups - Mathematics > Representation TheoryReport as inadecuate




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Abstract: We prove that a polar orthogonal representation of a real reductive algebraicgroup has the same closed orbits as the isotropy representation of apseudo-Riemannian symmetric space. We also develop a partial structural theoryof polar orthogonal representations of real reductive algebraic groups whichslightly generalizes some results of the structural theory of real reductiveLie algebras.



Author: Laura Geatti, Claudio Gorodski

Source: https://arxiv.org/







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