{
  "id": "2408.09584",
  "version": "v1",
  "published": "2024-08-18T20:02:25.000Z",
  "updated": "2024-08-18T20:02:25.000Z",
  "title": "From classes in the Weyl group to strata",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "10 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In a 2015 paper we have defined a map from the set of conjugacy classes in a Weyl group W to the set of irreducible representations of W (its image parametrizes the strata of a reductive group with Weyl group W). In this paper we provide evidence that this map makes sense even when W is replaced by a noncrystallographic Coxeter group,",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-18T20:02:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weyl group",
      "noncrystallographic coxeter group",
      "conjugacy classes",
      "image parametrizes",
      "reductive group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}