{
  "id": "1707.02513",
  "version": "v1",
  "published": "2017-07-09T01:54:09.000Z",
  "updated": "2017-07-09T01:54:09.000Z",
  "title": "Crystals and Schur $P$-positive expansions",
  "authors": [
    "Seung-Il Choi",
    "Jae-Hoon Kwon"
  ],
  "comment": "27 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We give a new characterization of Littlewood-Richardson-Stembridge tableaux for Schur $P$-functions by using the theory of $\\mf{q}(n)$-crystals. We also give alternate proofs of the Schur $P$-expansion of a skew Schur function due to Ardila and Serrano, and the Schur expansion of a Schur $P$-function due to Stembridge using the associated crystal structures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-07-09T01:54:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "17B37"
    ],
    "keywords": [
      "positive expansions",
      "skew schur function",
      "associated crystal structures",
      "schur expansion",
      "alternate proofs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}