{
  "id": "0905.1760",
  "version": "v1",
  "published": "2009-05-12T05:36:59.000Z",
  "updated": "2009-05-12T05:36:59.000Z",
  "title": "Typical blocks of Lie superalgebras in prime characteristic",
  "authors": [
    "Lei Zhao"
  ],
  "comment": "13pages; submitted for publication",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "For a type I basic classical Lie superalgebra $\\mathfrak{g}=\\mathfrak{g}_{\\bar{0}} \\oplus \\mathfrak{g}_{\\bar{1}}$, we establish an equivalence between typical blocks of categories of $U_{\\chi}(\\mathfrak{g})$-modules and $U_{\\chi}(mathfrak{g}_{\\bar{0})$-modules. We then deduce various consequences from the equivalence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-12T05:36:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B50",
      "17B10",
      "17B20",
      "17B35"
    ],
    "keywords": [
      "typical blocks",
      "prime characteristic",
      "basic classical lie superalgebra",
      "equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.1760Z"
    }
  }
}