{
  "id": "2011.01824",
  "version": "v1",
  "published": "2020-11-03T16:28:33.000Z",
  "updated": "2020-11-03T16:28:33.000Z",
  "title": "On the definition of unipotent representations",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "3 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be a connected reductive group over a finite field F_q. A map from irreducible representations of G(F_q) to semisimple classes in the dual group was defined by a cohomological method by Deligne and the author in 1976. Here we show that when q is large enough this map has an alternative (non-cohomological) definition.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-03T16:28:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unipotent representations",
      "definition",
      "finite field",
      "semisimple classes",
      "dual group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}