{
  "id": "1509.02581",
  "version": "v1",
  "published": "2015-09-09T00:14:23.000Z",
  "updated": "2015-09-09T00:14:23.000Z",
  "title": "Commutation and normal ordering for operators on symmetric functions",
  "authors": [
    "Emmanuel Briand",
    "Peter R. W. McNamara",
    "Rosa Orellana",
    "Mercedes Rosas"
  ],
  "comment": "24 pages, 5 figures. Comments welcome. Dedicated to Ira Gessel on the occasion of his retirement",
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the commutation relations and normal ordering between families of operators on symmetric functions. These operators can be naturally defined by the operations of multiplication, Kronecker product, and their adjoints. As applications we give a new proof of the skew Littlewood-Richardson rule and prove an identity about the Kronecker product with a skew Schur function.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-09T00:14:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10",
      "20Cxx",
      "47L80"
    ],
    "keywords": [
      "symmetric functions",
      "normal ordering",
      "kronecker product",
      "skew schur function",
      "skew littlewood-richardson rule"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150902581B"
    }
  }
}