{
  "id": "1912.07665",
  "version": "v1",
  "published": "2019-12-16T19:51:11.000Z",
  "updated": "2019-12-16T19:51:11.000Z",
  "title": "The sections of the Weyl group",
  "authors": [
    "Moshe Adrian"
  ],
  "comment": "27 pages",
  "categories": [
    "math.RT",
    "math.GR",
    "math.NT"
  ],
  "abstract": "We compute all sections of the finite Weyl group, that satisfy the braid relations, in the case that G is an almost-simple connected reductive group defined over an algebraically closed field. We then demonstrate that this set of sections has an interesting partially ordered structure, and also give some applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-16T19:51:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite weyl group",
      "almost-simple connected reductive group",
      "braid relations",
      "algebraically closed field",
      "demonstrate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}