{
  "id": "2006.16159",
  "version": "v1",
  "published": "2020-06-29T16:21:53.000Z",
  "updated": "2020-06-29T16:21:53.000Z",
  "title": "From families in Weyl groups to Springer representations",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "10 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be a simple reductive group over the complex numbers. Let W be the Weyl group of G. We propose a description of the Springer representations of W associated to various unipotent classes of G by a purely algebraic method involving the families of various reflection subgroups of W and which is suitable to computer calculations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-29T16:21:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weyl group",
      "springer representations",
      "complex numbers",
      "simple reductive group",
      "unipotent classes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}