{
  "id": "1604.08655",
  "version": "v1",
  "published": "2016-04-29T00:27:59.000Z",
  "updated": "2016-04-29T00:27:59.000Z",
  "title": "Five-term relation and Macdonald polynomials",
  "authors": [
    "Adriano Garsia",
    "Anton Mellit"
  ],
  "categories": [
    "math.CO",
    "math.QA",
    "math.RT"
  ],
  "abstract": "The non-commutative five-term relation $T_{1,0} T_{0,1} = T_{0,1} T_{1,1} T_{1,0}$ is shown to hold for certain operators acting on symmetric functions. The \"generalized recursion\" conjecture of Bergeron and Haiman is a corollary of this result.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-29T00:27:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "macdonald polynomials",
      "non-commutative five-term relation",
      "symmetric functions",
      "generalized recursion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160408655G"
    }
  }
}