{
  "id": "1107.1981",
  "version": "v1",
  "published": "2011-07-11T09:54:17.000Z",
  "updated": "2011-07-11T09:54:17.000Z",
  "title": "Intertwining of simple characters in GL(n)",
  "authors": [
    "Colin J. Bushnell",
    "Guy Henniart"
  ],
  "comment": "7 pages",
  "doi": "10.1093/imrn/rns162",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "Let $F$ be a non-Archimedean local field and let $G$ be the general linear group $G = \\text{\\rm GL}_n(F)$. Let $\\theta_1$, $\\theta_2$ be simple characters in $G$. We show that $\\theta_1$ intertwines with $\\theta_2$ if and only if $\\theta_1$ is endo-equivalent to $\\theta_2$. We also show that any simple character in $G$ is a $G$-type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-07-11T09:54:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50"
    ],
    "keywords": [
      "simple character",
      "non-archimedean local field",
      "general linear group",
      "intertwining"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1107.1981B"
    }
  }
}