{
  "id": "1706.00128",
  "version": "v1",
  "published": "2017-06-01T00:00:29.000Z",
  "updated": "2017-06-01T00:00:29.000Z",
  "title": "Vector fields on $\\mathfrak{osp}_{2m|2n}(\\mathbb C)$- and $π\\mathfrak{sp}_{n}(\\mathbb C)$-flag supermanifolds",
  "authors": [
    "E. G. Vishnyakova"
  ],
  "comment": "24 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "The paper is devoted to a computation of the Lie superalgebras of holomorphic vector fields on isotropic flag supermanifolds of maximal type corresponding to the Lie superalgebras $\\mathfrak{osp}_{2m|2n}(\\mathbb C)$ and $\\pi\\mathfrak{sp}_{n}(\\mathbb C)$. The result is that under some restrictions on the flag type any holomorphic vector field is fundamental with respect to the natural action of the Lie superalgebras $\\mathfrak{osp}_{2m|2n}(\\mathbb C)$ or $\\pi\\mathfrak{sp}_{n}(\\mathbb C)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-01T00:00:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lie superalgebras",
      "holomorphic vector field",
      "isotropic flag supermanifolds",
      "flag type",
      "natural action"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}