{
  "id": "1201.1404",
  "version": "v1",
  "published": "2012-01-06T12:38:30.000Z",
  "updated": "2012-01-06T12:38:30.000Z",
  "title": "Skew Pieri Rules for Hall-Littlewood Functions",
  "authors": [
    "Matjaz Konvalinka",
    "Aaron Lauve"
  ],
  "comment": "16 pages, 6 .eps files",
  "categories": [
    "math.CO",
    "math.RA",
    "math.RT"
  ],
  "abstract": "We produce skew Pieri Rules for Hall--Littlewood functions in the spirit of Assaf and McNamara. The first two were conjectured by the first author. The key ingredients in the proofs are a q-binomial identity for skew partitions and a Hopf algebraic identity that expands products of skew elements in terms of the coproduct and the antipode.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-06T12:38:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "05E10",
      "16T05",
      "16T30",
      "33D52"
    ],
    "keywords": [
      "hall-littlewood functions",
      "produce skew pieri rules",
      "hopf algebraic identity",
      "first author",
      "q-binomial identity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.1404K"
    }
  }
}