{
  "id": "1901.00378",
  "version": "v1",
  "published": "2018-12-30T17:23:54.000Z",
  "updated": "2018-12-30T17:23:54.000Z",
  "title": "The Hopf structure of symmetric group characters as symmetric functions",
  "authors": [
    "Rosa Orellana",
    "Mike Zabrocki"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1605.06672",
  "categories": [
    "math.CO"
  ],
  "abstract": "In arXiv:1605.06672 the authors introduced inhomogeneous bases of the ring of symmetric functions. The elements in these bases have the property that they evaluate to characters of symmetric groups. In this article we develop further properties of these bases by proving product and coproduct formulae. In addition, we give the transition coefficients between the elementary symmetric functions and the irreducible character basis.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-30T17:23:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10",
      "20C30"
    ],
    "keywords": [
      "symmetric group characters",
      "hopf structure",
      "elementary symmetric functions",
      "coproduct formulae",
      "transition coefficients"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}