{
  "id": "0911.3529",
  "version": "v1",
  "published": "2009-11-18T13:03:16.000Z",
  "updated": "2009-11-18T13:03:16.000Z",
  "title": "Jucys-Murphy elements and centers of cellular algebras",
  "authors": [
    "Yanbo Li"
  ],
  "comment": "11 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "Let R be an integral domain and A a cellular algebra. Suppose that A is equipped with a family of Jucys-Murphy elements which satisfy the separation condition. Let K be the field of fractions of R. We give a necessary and sufficient condition under which the center of $A_{K}$ consists of the symmetric polynomials in Jucys-Murphy elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-18T13:03:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "jucys-murphy elements",
      "cellular algebra",
      "symmetric polynomials",
      "integral domain",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.3529L"
    }
  }
}