{
  "id": "1307.1138",
  "version": "v2",
  "published": "2013-07-03T20:04:59.000Z",
  "updated": "2013-09-27T21:00:43.000Z",
  "title": "Decompositions and complexifications of homogeneous spaces",
  "authors": [
    "Martin Miglioli"
  ],
  "comment": "19 pages, v2 with added example of coadjoint orbits in Schatten ideals and minor corrections",
  "categories": [
    "math.DG",
    "math.FA"
  ],
  "abstract": "In this paper an extended CPR decomposition theorem for Finsler symmetric spaces of semi-negative curvature in the context of reductive structures is proven. This decomposition theorem is applied to give a geometric description of the complexification of some infinite dimensional homogeneous spaces.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-27T21:00:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C30",
      "22E65",
      "22E62",
      "47L20"
    ],
    "keywords": [
      "complexification",
      "infinite dimensional homogeneous spaces",
      "extended cpr decomposition theorem",
      "finsler symmetric spaces",
      "geometric description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1138M"
    }
  }
}