{
  "id": "1312.3237",
  "version": "v3",
  "published": "2013-12-11T16:55:46.000Z",
  "updated": "2014-05-28T17:57:38.000Z",
  "title": "Hecke algebras and involutions in Coxeter groups",
  "authors": [
    "G. Lusztig",
    "D. A. Vogan Jr"
  ],
  "comment": "31 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $W$ be a Coxeter group and let $M$ be the free $Z[v,v^{-1}]$-module with basis indexed by the involutions of $W$. We show how recent results of Elias and Williamson on Soergel bimodules can be used to give an alternative definition of an action of the Hecke algebra of $W$ on $M$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-05-28T17:57:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "coxeter group",
      "hecke algebra",
      "involutions",
      "soergel bimodules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.3237L"
    }
  }
}