{
  "id": "math/9803037",
  "version": "v1",
  "published": "1998-03-11T03:00:30.000Z",
  "updated": "1998-03-11T03:00:30.000Z",
  "title": "On the representations of the infinite symmetric group",
  "authors": [
    "Andrei Okounkov"
  ],
  "comment": "My PhD thesis (1995). AMS TeX, 50 pages, 9 eps figures",
  "journal": "Zapiski Nauchnyh Seminarov POMI, 240 (1997), 167--230",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We classify all irreducible admissible representations of three Olshanski pairs connected to the infinite symmetric group. In particular, our methods yield two simple proofs of the classical Thoma's description of the characters of the infinite symmetric group. Also, we discuss a certain operation called mixture of representations which provides a uniform construction of all irreducible admissible representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-03-11T03:00:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "infinite symmetric group",
      "irreducible admissible representations",
      "uniform construction",
      "classical thomas description",
      "simple proofs"
    ],
    "tags": [
      "dissertation",
      "journal article"
    ],
    "publication": {
      "journal": "Ph.D. Thesis",
      "year": 1998,
      "month": "Mar"
    },
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998PhDT........77O"
    }
  }
}