{
  "id": "math/0009186",
  "version": "v1",
  "published": "2000-09-20T11:42:05.000Z",
  "updated": "2000-09-20T11:42:05.000Z",
  "title": "Strongly typical representations of the basic classical Lie superalgebras",
  "authors": [
    "Maria Gorelik"
  ],
  "comment": "21 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "The category of representations with a strongly typical central character of a basic classical Lie superalgebra is proven to be equivalent to the category of representations of its even part corresponding to an appropriate central character. For a Lie superalgebra $osp(1,2l)$ the category of representations with a \"generic\" weakly atypical central character is described.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-09-20T11:42:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B20"
    ],
    "keywords": [
      "basic classical lie superalgebra",
      "strongly typical representations",
      "appropriate central character",
      "strongly typical central character",
      "weakly atypical central character"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2000math......9186G"
    }
  }
}