{
  "id": "0806.0697",
  "version": "v1",
  "published": "2008-06-04T08:33:53.000Z",
  "updated": "2008-06-04T08:33:53.000Z",
  "title": "Non-cuspidality outside the middle degree of l-adic cohomology of the Lubin-Tate tower",
  "authors": [
    "Yoichi Mieda"
  ],
  "comment": "12 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "In this article, we consider the representations of the general linear group over a non-archimedean local field obtained from the vanishing cycle cohomology of the Lubin-Tate tower. We give an easy and direct proof of the fact that no supercuspidal representation appears as a subquotient of such representations unless they are obtained from the cohomology of the middle degree. Our proof is purely local and does not require Shimura varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-04T08:33:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "14G35",
      "11F70"
    ],
    "keywords": [
      "middle degree",
      "lubin-tate tower",
      "non-cuspidality outside",
      "l-adic cohomology",
      "general linear group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.0697M"
    }
  }
}