{
  "id": "0801.1627",
  "version": "v2",
  "published": "2008-01-10T16:31:11.000Z",
  "updated": "2009-03-13T14:25:37.000Z",
  "title": "The Calogero-Moser partition and Rouquier families for complex reflection groups",
  "authors": [
    "Maurizio Martino"
  ],
  "comment": "Completely rewritten with updated conjecture and a proof of the conjecture for wreath products (thus incorporating the main result of arXiv:0804.2591)",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $W$ be a complex reflection group. We formulate a conjecture relating blocks of the corresponding restricted rational Cherednik algebras and Rouquier families for cyclotomic Hecke algebras. We verify the conjecture in the case that $W$ is a wreath product of a symmetric group with a cyclic group of order $l$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-13T14:25:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G99",
      "16S38",
      "16S80",
      "20C08"
    ],
    "keywords": [
      "complex reflection group",
      "rouquier families",
      "calogero-moser partition",
      "corresponding restricted rational cherednik algebras",
      "cyclotomic hecke algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.1627M"
    }
  }
}