{
  "id": "0712.3662",
  "version": "v3",
  "published": "2007-12-21T10:39:08.000Z",
  "updated": "2008-05-14T07:45:01.000Z",
  "title": "Cellular structures on Hecke algebras of type B",
  "authors": [
    "Cédric Bonnafé",
    "Nicolas Jacon"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "The aim of this paper is to gather and (try to) unify several approaches for the modular representation theory of Hecke algebras of type $B$. We attempt to explain the connections between Geck's cellular structures (coming from Kazhdan-Lusztig theory with unequal parameters) and Ariki's Theorem on the canonical basis of the Fock spaces.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-05-14T07:45:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20C05",
      "05E15"
    ],
    "keywords": [
      "hecke algebras",
      "modular representation theory",
      "gecks cellular structures",
      "fock spaces",
      "kazhdan-lusztig theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0712.3662B"
    }
  }
}