{
  "id": "1303.1057",
  "version": "v1",
  "published": "2013-03-05T15:00:22.000Z",
  "updated": "2013-03-05T15:00:22.000Z",
  "title": "Intertwining operators between line bundles on Grassmannians",
  "authors": [
    "Dmitry Gourevitch",
    "Siddhartha Sahi"
  ],
  "comment": "7 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G=GL(n,F) where F is a local field of arbitrary characteristic, and let $\\pi_1,\\pi_2$ be representations induced from characters of two maximal parabolic subgroups $P_1,P_2$. We explicitly determine the space $Hom_G(\\pi_1,\\pi_2)$ of intertwining operators and prove that it has dimension at most 1 in all cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-05T15:00:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "44A05",
      "44A12"
    ],
    "keywords": [
      "intertwining operators",
      "line bundles",
      "grassmannians",
      "maximal parabolic subgroups",
      "arbitrary characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.1057G"
    }
  }
}