{
  "id": "0906.0918",
  "version": "v2",
  "published": "2009-06-04T14:27:42.000Z",
  "updated": "2009-06-22T11:11:35.000Z",
  "title": "Cohomology of generalized supergrassmannians and character formulae for basic classical Lie superalgebras",
  "authors": [
    "Caroline Gruson",
    "Vera Serganova"
  ],
  "comment": "40 pages",
  "doi": "10.1112/plms/pdq014",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "In this paper, we use geometrical methods adapted from the Borel-Weil-Bott theory to compute the character of every finite dimensional simple module over a basic classical Lie superalgebra.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-06-22T11:11:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "14F05"
    ],
    "keywords": [
      "basic classical lie superalgebra",
      "character formulae",
      "generalized supergrassmannians",
      "cohomology",
      "finite dimensional simple module"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 40,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.0918G"
    }
  }
}