{
  "id": "1011.2923",
  "version": "v2",
  "published": "2010-11-12T14:44:33.000Z",
  "updated": "2012-03-05T12:52:52.000Z",
  "title": "Homotopes of Symmetric Spaces I. Construction by Algebras with Two Involutions",
  "authors": [
    "Wolfgang Bertram",
    "Pierre Bieliavsky"
  ],
  "comment": "V2: minor corrections",
  "categories": [
    "math.DG"
  ],
  "abstract": "We investigate a special kind of contraction of symmetric spaces (respectively, of Lie triple systems), called homotopy. In this first part of a series of two papers we construct such contractions for classical symmetric spaces in an elementary way by using associative algebras with several involutions. This construction shows a remarkable duality between the underlying \"space\" and the \"deformation parameter\".",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-03-05T12:52:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "construction",
      "involutions",
      "lie triple systems",
      "contraction",
      "first part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1011.2923B"
    }
  }
}