{
  "id": "1208.4446",
  "version": "v2",
  "published": "2012-08-22T08:40:15.000Z",
  "updated": "2013-06-07T05:17:12.000Z",
  "title": "Frobenius map for the centers of Hecke algebras",
  "authors": [
    "Jinkui Wan",
    "Weiqiang Wang"
  ],
  "comment": "15 pages, v2, updated introduction, mild corrections of typos, to appear in Transactions of the American Mathematical Society",
  "categories": [
    "math.RT",
    "math.CO",
    "math.QA"
  ],
  "abstract": "We introduce a commutative associative graded algebra structure on the direct sum Z of the centers of the Hecke algebras associated to the symmetric groups in n letters for all n. As a natural deformation of the classical construction of Frobenius, we establish an algebra isomorphism from the algebra Z to the ring of symmetric functions. This isomorphism provides an identification between several distinguished bases for the centers (introduced by Geck-Rouquier, Jones, Lascoux) and explicit bases of symmetric functions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-06-07T05:17:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hecke algebras",
      "frobenius map",
      "symmetric functions",
      "explicit bases",
      "direct sum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.4446W"
    }
  }
}