{
  "id": "1301.1204",
  "version": "v2",
  "published": "2013-01-07T14:30:04.000Z",
  "updated": "2013-12-18T17:34:22.000Z",
  "title": "Equivalence of blocks for the general linear Lie superalgebra",
  "authors": [
    "Shun-Jen Cheng",
    "Volodymyr Mazorchuk",
    "Weiqiang Wang"
  ],
  "comment": "Formulation of Theorem 2.1 fixed in the last version",
  "journal": "Lett. Math. Phys. 103 (2013) 1313 - 1327",
  "categories": [
    "math.RT"
  ],
  "abstract": "We develop a reduction procedure which provides an equivalence (as highest weight categories) from an arbitrary block (defined in terms of the central character and the integral Weyl group) of the BGG category O for a general linear Lie superalgebra to an integral block of O for (possibly a direct sum of) general linear Lie superalgebras. We also establish indecomposability of blocks of O.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-12-18T17:34:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "general linear lie superalgebra",
      "equivalence",
      "highest weight categories",
      "integral weyl group",
      "arbitrary block"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11005-013-0642-5",
      "journal": "Letters in Mathematical Physics",
      "year": 2013,
      "month": "Dec",
      "volume": 103,
      "number": 12,
      "pages": 1313
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013LMaPh.103.1313C"
    }
  }
}