{
  "id": "2006.08535",
  "version": "v1",
  "published": "2020-06-15T16:40:31.000Z",
  "updated": "2020-06-15T16:40:31.000Z",
  "title": "Open problems on Iwahori-Hecke algebras",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "3 pages; to appear in the European Math.Soc. Newsletter",
  "categories": [
    "math.RT"
  ],
  "abstract": "We state four open problems on Iwahori-Hecke algebras. The first one states a relation between some algebras appearing in Solleveld's work and some explicit Hecke algebras appearing in the study of unipotent representations. The second one is a boundedness conjecture. The third one is a conjecture of well-definedness of an asymptotic Hecke algebra. The fourth one concerns positive conjugacy classes in a Weyl group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-15T16:40:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "open problems",
      "iwahori-hecke algebras",
      "asymptotic hecke algebra",
      "concerns positive conjugacy classes",
      "unipotent representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}