{
  "id": "2107.06794",
  "version": "v1",
  "published": "2021-07-14T15:50:59.000Z",
  "updated": "2021-07-14T15:50:59.000Z",
  "title": "Lifting Involutions in a Weyl Group to the Normalizer of the Torus",
  "authors": [
    "Moshe Adrian"
  ],
  "comment": "4 pages. arXiv admin note: text overlap with arXiv:1912.07665",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let N be the normalizer of a maximal torus T in a split reductive group over F_q, and let w be an involution in the Weyl group N/T. We construct a section of W satisfying the braid relations, such that the image of the lift n of w under the Frobenius map is equal to the inverse of n.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-07-14T15:50:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lifting involutions",
      "normalizer",
      "weyl group n/t",
      "split reductive group",
      "braid relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}