{
  "id": "0911.0066",
  "version": "v3",
  "published": "2009-10-31T10:39:37.000Z",
  "updated": "2011-03-02T22:59:45.000Z",
  "title": "The Calogero-Moser partition for G(m,d,n)",
  "authors": [
    "Gwyn Bellamy"
  ],
  "comment": "23 pages; minor revision of section 7; to appear in Nagoya Journal of Mathematics",
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that it is possible to deduce the Calogero-Moser partition of the irreducible representations of the complex reflection groups G(m,d,n) from the corresponding partition for G(m,1,n). This confirms, in the case W = G(m,d,n), a conjecture of Gordon and Martino relating the Calogero-Moser partition to Rouquier families for the corresponding cyclotomic Hecke algebra.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-03-02T22:59:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G99",
      "05E10"
    ],
    "keywords": [
      "calogero-moser partition",
      "complex reflection groups",
      "corresponding cyclotomic hecke algebra",
      "rouquier families",
      "corresponding partition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.0066B"
    }
  }
}