{
  "id": "2001.04089",
  "version": "v1",
  "published": "2020-01-13T07:52:08.000Z",
  "updated": "2020-01-13T07:52:08.000Z",
  "title": "Simple weight modules with finite-dimensional weight spaces over Witt superalgebras",
  "authors": [
    "Yaohui Xu",
    "Rencai Lü"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $A_{m,n}$ be the tensor product of the Laurient polynomial algebra in $m$ even variables and the exterior algebra in $n$ odd variables over the complex field $\\bC$, and the Witt superalgebra $W_{m,n}$ be the Lie superalgebra of superderivations of $A_{m,n}$. In this paper, we classify the simple weight $W_{m,n}$ modules with finite-dimensional weight spaces with respect to the standard Cartan algebra of $W_{m,0}$. Every such module is either a simple quotient of a tensor module or a module of highest weight type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-13T07:52:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B20",
      "17B65",
      "17B66",
      "17B68"
    ],
    "keywords": [
      "finite-dimensional weight spaces",
      "simple weight modules",
      "witt superalgebra",
      "laurient polynomial algebra",
      "highest weight type"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}