{
  "id": "1911.12570",
  "version": "v1",
  "published": "2019-11-28T07:46:21.000Z",
  "updated": "2019-11-28T07:46:21.000Z",
  "title": "The Degenerate Principal Series Representations of Exceptional Groups of Type $E_7$ over $p$-adic Fields",
  "authors": [
    "Hezi Halawi",
    "Avner Segal"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we study the degenerate principal series of a split, simply-connected, simple p-adic group of type $E_7$. We determine the points of reducibility and the maximal semi-simple subrepresentation at each point.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-28T07:46:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerate principal series representations",
      "exceptional groups",
      "adic fields",
      "maximal semi-simple subrepresentation",
      "simple p-adic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}