{
  "id": "0906.5250",
  "version": "v2",
  "published": "2009-06-29T12:17:21.000Z",
  "updated": "2013-12-08T17:38:24.000Z",
  "title": "Irreducible holonomy algebras of Riemannian supermanifolds",
  "authors": [
    "Anton S. Galaev"
  ],
  "comment": "27 pages, the final version",
  "journal": "Annals of Global Analysis and Geometry 42 (2012), no. 1, pp. 1--27",
  "categories": [
    "math.DG"
  ],
  "abstract": "Possible irreducible holonomy algebras $\\g\\subset\\osp(p,q|2m)$ of Riemannian supermanifolds under the assumption that $\\g$ is a direct sum of simple Lie superalgebras of classical type and possibly of a one-dimensional center are classified. This generalizes the classical result of Marcel Berger about the classification of irreducible holonomy algebras of pseudo-Riemannian manifolds.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-08T17:38:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58A50",
      "53C29"
    ],
    "keywords": [
      "irreducible holonomy algebras",
      "riemannian supermanifolds",
      "simple lie superalgebras",
      "marcel berger",
      "direct sum"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.5250G"
    }
  }
}