{
  "id": "2206.07964",
  "version": "v1",
  "published": "2022-06-16T07:13:00.000Z",
  "updated": "2022-06-16T07:13:00.000Z",
  "title": "Cohomology of $\\frak{q}(2)$ in prime characteristic",
  "authors": [
    "Shujuan Wang",
    "Yang Liu",
    "Wende Liu"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Over an algebraically closed field of characteristic $p>2$, the 0-dimensional and 1-dimensional cohomology of the queer Lie superalgebra $\\frak{q}(2)$ with coefficients in all baby Verma modules and all the simple modules are determined.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-16T07:13:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B40",
      "17B50",
      "17B56"
    ],
    "keywords": [
      "prime characteristic",
      "cohomology",
      "baby verma modules",
      "queer lie superalgebra",
      "simple modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}