{
  "id": "math/0405555",
  "version": "v1",
  "published": "2004-05-28T12:15:40.000Z",
  "updated": "2004-05-28T12:15:40.000Z",
  "title": "On the number of simple modules of Iwahori--Hecke algebras of finite Weyl groups",
  "authors": [
    "Meinolf Geck"
  ],
  "comment": "12 pages",
  "journal": "Bul. Stiit. Univ. Baia Mare, Ser. B {\\bf 16} (2000), 235--246",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $H_k(W,q)$ be the Iwahori--Hecke algebra associated with a finite Weyl group $W$, where $k$ is a field and $0 \\neq q \\in k$. Assume that the characteristic of $k$ is not ``bad'' for $W$ and let $e$ be the smallest $i \\geq 2$ such that $1+q+q^2+... +q^{i-1}=0$. We show that the number of simple $H_k(H,q)$-modules is ``generic'', i.e., it only depends on $e$. The proof uses some computations in the {\\sf CHEVIE} package of {\\sf GAP} and known results due to Dipper--James, Ariki--Mathas, Rouquier and the author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-05-28T12:15:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08"
    ],
    "keywords": [
      "finite weyl group",
      "simple modules",
      "iwahori-hecke algebra",
      "characteristic",
      "computations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......5555G"
    }
  }
}