{
  "id": "1608.08577",
  "version": "v1",
  "published": "2016-08-30T17:55:45.000Z",
  "updated": "2016-08-30T17:55:45.000Z",
  "title": "Pieri rules for Schur functions in superspace",
  "authors": [
    "Miles Jones",
    "Luc Lapointe"
  ],
  "comment": "43 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "The Schur functions in superspace $s_\\Lambda$ and $\\bar s_\\Lambda$ are the limits $q=t=0$ and $q=t=\\infty$ respectively of the Macdonald polynomials in superspace. We prove Pieri rules for the bases $s_\\Lambda$ and $\\bar s_{\\Lambda}$ (which happen to be essentially dual). As a consequence, we derive the basic properties of these bases such as dualities, monomial expansions, and tableaux generating functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-08-30T17:55:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "schur functions",
      "pieri rules",
      "superspace",
      "tableaux generating functions",
      "basic properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}