{
  "id": "1903.06153",
  "version": "v1",
  "published": "2019-03-14T17:53:43.000Z",
  "updated": "2019-03-14T17:53:43.000Z",
  "title": "Cohomological representations of parahoric subgroups",
  "authors": [
    "Charlotte Chan",
    "Alexander B. Ivanov"
  ],
  "comment": "24 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We generalize a cohomological construction of representations due to Lusztig from the hyperspecial case to arbitrary parahoric subgroups of a reductive group over a local field, which splits over an unramified extension. We compute the character of these representations on certain very regular elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-03-14T17:53:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cohomological representations",
      "arbitrary parahoric subgroups",
      "local field",
      "regular elements",
      "hyperspecial case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}