{
  "id": "2206.05667",
  "version": "v1",
  "published": "2022-06-12T05:28:23.000Z",
  "updated": "2022-06-12T05:28:23.000Z",
  "title": "The Degenerate Principal Series Representations of Exceptional Groups of Type $E_8$ over $p$-adic Fields",
  "authors": [
    "Hezi Halawi",
    "Avner Segal"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type $E_8$. Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations for almost all cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-12T05:28:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerate principal series representations",
      "adic fields",
      "maximal semi-simple subrepresentation",
      "simply-connected exceptional group",
      "reducibility"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}