Polar orthogonal representations of real reductive algebraic groups

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145265We 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, LatexRepresentation TheoryDifferential Geometry22E45; 15A72, 53C12Polar orthogonal representations of real reductive algebraic groupstext