{
  "id": "1309.0054",
  "version": "v2",
  "published": "2013-08-31T02:19:36.000Z",
  "updated": "2014-02-27T13:37:22.000Z",
  "title": "An introduction to the half-infinite wedge",
  "authors": [
    "Rodolfo Rios-Zertuche"
  ],
  "comment": "41 pages. Workshop: \"Taller de vinculacion: matematicos mexicanos jovenes en el mundo.\" Second version",
  "categories": [
    "math.RT",
    "math-ph",
    "math.CO",
    "math.MP",
    "math.PR"
  ],
  "abstract": "After a quick review of the representation theory of the symmetric group, we give an exposition of the tools brought about by the so-called half-infinite wedge representation of the infinite symmetric group. We show how these can be applied to find the limit shapes of several distributions on partitions. We also briefly review the variational methods available to compute these limit shapes.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-02-27T13:37:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C32"
    ],
    "keywords": [
      "introduction",
      "limit shapes",
      "infinite symmetric group",
      "half-infinite wedge representation",
      "representation theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.0054R"
    }
  }
}