{
  "id": "0801.0574",
  "version": "v1",
  "published": "2008-01-03T18:07:11.000Z",
  "updated": "2008-01-03T18:07:11.000Z",
  "title": "Polar orthogonal representations of real reductive algebraic groups",
  "authors": [
    "Laura Geatti",
    "Claudio Gorodski"
  ],
  "comment": "23 pages, Latex",
  "categories": [
    "math.RT",
    "math.DG"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-03T18:07:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E45",
      "15A72",
      "53C12"
    ],
    "keywords": [
      "real reductive algebraic group",
      "polar orthogonal representation",
      "real reductive lie algebras",
      "pseudo-riemannian symmetric space",
      "partial structural theory"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0574G"
    }
  }
}