{
  "id": "0707.3316",
  "version": "v3",
  "published": "2007-07-23T06:14:50.000Z",
  "updated": "2010-04-22T14:22:31.000Z",
  "title": "Morita equivalences of cyclotomic Hecke algebras of type G(r,p,n)",
  "authors": [
    "Jun Hu",
    "Andrew Mathas"
  ],
  "comment": "Latex file. 21 pages Final published version which corrects a previous error in definition 2.4.",
  "journal": "J. Reine Angew. Math. 628 (2009), 169--194.",
  "doi": "10.1515/CRELLE.2009.022",
  "categories": [
    "math.RT",
    "math.CO",
    "math.GR",
    "math.QA",
    "math.RA"
  ],
  "abstract": "We prove a Morita reduction theorem for the cyclotomic Hecke algebras H_{r,p,n}({q,Q})$ of type G(r,p,n). As a consequence, we show that computing the decomposition numbers of H_{r,p,n}(Q) reduces to computing the p'-splittable decomposition numbers of the cyclotomic Hecke algebras H_{r',p',n'}(Q'), where $1\\le r'\\le r$, $1\\le n'\\le n$, $ p'\\mid p$ and where the parameters Q' are contained in a single $(\\epsilon,q)$-orbit and $\\epsilon$ is a primitive p'th root of unity.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-04-22T14:22:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20C30"
    ],
    "keywords": [
      "cyclotomic hecke algebras",
      "morita equivalences",
      "morita reduction theorem",
      "primitive pth root"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.3316H"
    }
  }
}