{
  "id": "0911.0735",
  "version": "v2",
  "published": "2009-11-04T05:57:31.000Z",
  "updated": "2009-12-18T00:22:54.000Z",
  "title": "Generalised Verma modules for the orthosymplectic Lie superalgebra osp(k|2)",
  "authors": [
    "Yucai Su",
    "R. B. Zhang"
  ],
  "comment": "LaTeX, 23 pages, update reference (adding one reference)",
  "journal": "Journal of Algebra 357 (2012), 94-115",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The composition factors and their multiplicities are determined for generalised Verma modules over the orthosymplectic Lie superalgebra osp(k|2). The results enable us to obtain explicit formulae for the formal characters and dimensions of the finite-dimensional irreducible modules. Applying these results, we also compute the first and second cohomology groups of the Lie superalgebra with coefficients in finite-dimensional Kac modules and irreducible modules.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-12-18T00:22:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "20G42",
      "17B10"
    ],
    "keywords": [
      "orthosymplectic lie superalgebra",
      "generalised verma modules",
      "finite-dimensional kac modules",
      "second cohomology groups",
      "explicit formulae"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1016/j.jalgebra.2012.01.026"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 836121,
      "adsabs": "2009arXiv0911.0735S"
    }
  }
}