{
  "id": "0806.1345",
  "version": "v2",
  "published": "2008-06-08T17:49:55.000Z",
  "updated": "2008-06-11T10:38:39.000Z",
  "title": "Asymptotics of Plancherel measures for $GL(n,q)$",
  "authors": [
    "A. Dudko"
  ],
  "comment": "5 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We introduce the Plancherel measure on the set of partition collections, which parameterize irreducible representations of order n general linear group over a finite field. We prove that as n goes to infinity, the random partitions from the random collections converge in finite dimencional distribution to independent random variables. We give explicit formulas for the corresponding limit distributions.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-06-11T10:38:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "plancherel measure",
      "asymptotics",
      "independent random variables",
      "finite dimencional distribution",
      "random collections converge"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.1345D"
    }
  }
}