{
  "id": "1101.0495",
  "version": "v1",
  "published": "2011-01-03T11:27:16.000Z",
  "updated": "2011-01-03T11:27:16.000Z",
  "title": "Irreducible holonomy algebras of odd Riemannian supermanifolds",
  "authors": [
    "Anton S. Galaev"
  ],
  "comment": "16 pages, an extended version of the appendix from arXiv:0906.5250, to appera in: Lobachevskii J. Math. 32 (2011) no. 2",
  "journal": "Lobachevskii Journal of Mathematics 32 (2011), no. 2, pp. 163--173",
  "categories": [
    "math.DG"
  ],
  "abstract": "Possible irreducible holonomy algebras $\\g\\subset\\sp(2m,\\Real)$ of odd Riemannian supermanifolds and irreducible subalgebras $\\g\\subset\\gl(n,\\Real)$ with non-trivial first skew-symmetric prolongations are classified. An approach to the classification of some classes of the holonomy algebras of Riemannian supermanifolds is discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-03T11:27:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58A50",
      "53C29"
    ],
    "keywords": [
      "odd riemannian supermanifolds",
      "irreducible holonomy algebras",
      "non-trivial first skew-symmetric prolongations",
      "irreducible subalgebras"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 883163,
      "adsabs": "2011arXiv1101.0495G"
    }
  }
}