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. (c) 2008 Elsevier Inc. All rights reserved.
Geatti, L., Gorodski, C. (2008). Polar orthogonal representations of real reductive algebraic groups. JOURNAL OF ALGEBRA, 320(7), 3036-3061 [10.1016/j.jalgebra.2008.06.027].
Polar orthogonal representations of real reductive algebraic groups
GEATTI, LAURA;
2008-01-01
Abstract
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. (c) 2008 Elsevier Inc. All rights reserved.File in questo prodotto:
Non ci sono file associati a questo prodotto.
Questo articolo è pubblicato sotto una Licenza Licenza Creative Commons
