{
  "id": "1206.0612",
  "version": "v2",
  "published": "2012-06-04T13:35:53.000Z",
  "updated": "2012-06-18T14:24:56.000Z",
  "title": "Jucys--Murphy elements and representations of cyclotomic Hecke algebras",
  "authors": [
    "O. V. Ogievetsky",
    "L. Poulain d'Andecy"
  ],
  "comment": "51 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "An inductive approach to the representation theory of cyclotomic Hecke algebras, inspired by Okounkov and Vershik, is developed. We study the common spectrum of the Jucys-Murphy elements using representations of the simplest affine Hecke algebra. Representations are constructed with the help of a new associative algebra whose underlying vector space is the tensor product of the cyclotomic Hecke algebra with the free associative algebra generated by standard m-tableaux.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-06-18T14:24:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cyclotomic hecke algebra",
      "jucys-murphy elements",
      "simplest affine hecke algebra",
      "common spectrum",
      "underlying vector space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 51,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.0612O"
    }
  }
}