{
  "id": "1405.3890",
  "version": "v2",
  "published": "2014-05-15T15:55:17.000Z",
  "updated": "2014-06-13T19:16:26.000Z",
  "title": "Some homological properties of $GL(m|n)$ in arbitrary characteristic",
  "authors": [
    "Alexandr N. Zubkov"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We show that Penkov's approach to a superanalog of Borel-Bott-Weil theorem for $G=GL(m|n)$ over a field of zero characteristic can be extended for a perfect field of arbitrary odd characteristic. We also prove some partial version of Kempf's vanishing theorem and characteristic free formula for Euler characteristic $\\chi(B, \\lambda^{\\epsilon})$, where $B$ is a Borel subgroup of $G$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-06-13T19:16:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary characteristic",
      "homological properties",
      "arbitrary odd characteristic",
      "characteristic free formula",
      "penkovs approach"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.3890Z"
    }
  }
}