{
  "id": "1101.5021",
  "version": "v1",
  "published": "2011-01-26T10:45:37.000Z",
  "updated": "2011-01-26T10:45:37.000Z",
  "title": "Gelfand models and Robinson-Schensted correspondence",
  "authors": [
    "Fabrizio Caselli",
    "Roberta Fulci"
  ],
  "comment": "23 pages",
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "In [F. Caselli, Involutory reflection groups and their models, J. Algebra 24 (2010), 370--393] there is constructed a uniform Gelfand model for all non-exceptional irreducible complex reflection groups which are involutory. Such model can be naturally decomposed into the direct sum of submodules indexed by $S_n$-conjugacy classes, and we present here a general result that relates the irreducible decomposition of these submodules with the projective Robinson-Schensted correspondence. This description also reflects in a very explicit way the existence of split representations for these groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-26T10:45:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "robinson-schensted correspondence",
      "non-exceptional irreducible complex reflection groups",
      "involutory reflection groups",
      "uniform gelfand model",
      "explicit way"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1101.5021C"
    }
  }
}