{
  "id": "1812.11593",
  "version": "v1",
  "published": "2018-12-30T19:08:19.000Z",
  "updated": "2018-12-30T19:08:19.000Z",
  "title": "Simple bounded highest weight modules of basic classical Lie superalgebras",
  "authors": [
    "Maria Gorelik",
    "Dimitar Grantcharov"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We classify all simple bounded highest weight modules of a basic classical Lie superalgebra $\\mathfrak g$. In particular, our classification leads to the classification of the simple weight modules with finite weight multiplicities over all classical Lie superalgebras. We also obtain some character formulas of strongly typical bounded highest weight modules of $\\mathfrak g$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-30T19:08:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "simple bounded highest weight modules",
      "basic classical lie superalgebra",
      "typical bounded highest weight"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}