{
  "id": "math/0509011",
  "version": "v1",
  "published": "2005-09-01T09:11:16.000Z",
  "updated": "2005-09-01T09:11:16.000Z",
  "title": "Endomorphisms of Deligne-Lusztig varieties",
  "authors": [
    "François Digne",
    "Jean Michel"
  ],
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "This paper is a following to math.RT/0410454. For a finite group of Lie type we study the endomorphisms, commuting with the group action, of a Deligne-Lusztig variety associated to a regular element of the Weyl group. We state some general conjectures, in particular that the endomorphism algebra induced on the cohomology is a cyclotomic Hecke algebra, and prove them in some cases. On the way we also prove results on centralizers in braid groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-09-01T09:11:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33",
      "20F36"
    ],
    "keywords": [
      "cyclotomic hecke algebra",
      "lie type",
      "endomorphism algebra",
      "group action",
      "braid groups"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......9011D"
    }
  }
}