{
  "id": "2102.11966",
  "version": "v1",
  "published": "2021-02-23T22:16:52.000Z",
  "updated": "2021-02-23T22:16:52.000Z",
  "title": "Magic squares and the symmetric group",
  "authors": [
    "Ofir Gorodetsky"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "Diaconis and Gamburd computed moments of secular coefficients in the CUE ensemble. We use the characteristic map to give a new combinatorial proof of their result. We also extend their computation to moments of traces of symmetric powers, where the same result holds but in a wider range.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-23T22:16:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric group",
      "magic squares",
      "secular coefficients",
      "wider range",
      "combinatorial proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}