{
  "id": "2007.15312",
  "version": "v1",
  "published": "2020-07-30T08:49:41.000Z",
  "updated": "2020-07-30T08:49:41.000Z",
  "title": "Ellipticity and discrete series",
  "authors": [
    "Bernhard Krötz",
    "Job J. Kuit",
    "Eric M. Opdam",
    "Henrik Schlichtkrull"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We explain by elementary means why the existence of a discrete series representation of a real reductive group $G$ implies the existence of a compact Cartan subgroup of $G$. The presented approach has the potential to generalize to real spherical spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-30T08:49:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "22E30",
      "22F30"
    ],
    "keywords": [
      "ellipticity",
      "discrete series representation",
      "compact cartan subgroup",
      "elementary means",
      "real reductive group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}