{
  "id": "1205.3459",
  "version": "v1",
  "published": "2012-05-15T17:55:11.000Z",
  "updated": "2012-05-15T17:55:11.000Z",
  "title": "On representations of complex reflection groups G(m,1,n)",
  "authors": [
    "O. V. Ogievetsky",
    "L. Poulain d'Andecy"
  ],
  "comment": "18 pages",
  "journal": "Theoretical and Mathematical Physics, 174(1) (2013) 95--108",
  "categories": [
    "math.RT"
  ],
  "abstract": "An inductive approach to the representation theory of the chain of the complex reflection groups G(m,1,n) is presented. We obtain the Jucys-Murphy elements of G(m,1,n) from the Jucys--Murphy elements of the cyclotomic Hecke algebra, and study their common spectrum using representations of a degenerate cyclotomic affine Hecke algebra. Representations of G(m,1,n) are constructed with the help of a new associative algebra whose underlying vector space is the tensor product of the group ring of G(m,1,n) with a free associative algebra generated by the standard m-tableaux.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-05-15T17:55:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex reflection groups",
      "degenerate cyclotomic affine hecke algebra",
      "jucys-murphy elements",
      "associative algebra",
      "cyclotomic hecke algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s11232-013-0008-2",
      "journal": "Theoretical and Mathematical Physics",
      "year": 2013,
      "month": "Jan",
      "volume": 174,
      "number": 1,
      "pages": 95
    },
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013TMP...174...95O"
    }
  }
}