{
  "id": "1202.3006",
  "version": "v1",
  "published": "2012-02-14T11:36:19.000Z",
  "updated": "2012-02-14T11:36:19.000Z",
  "title": "Differential posets have strict rank growth: a conjecture of Stanley",
  "authors": [
    "Alexander Miller"
  ],
  "comment": "5 pages, 1 figure",
  "categories": [
    "math.CO"
  ],
  "abstract": "We establish strict growth for the rank function of an r-differential poset. We do so by exploiting the representation theoretic techniques developed by Reiner and the author for studying related Smith forms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-14T11:36:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "strict rank growth",
      "differential posets",
      "conjecture",
      "rank function",
      "r-differential poset"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.3006M"
    }
  }
}