{
  "id": "0905.0367",
  "version": "v1",
  "published": "2009-05-04T12:33:15.000Z",
  "updated": "2009-05-04T12:33:15.000Z",
  "title": "A q-analogue of de Finetti's theorem",
  "authors": [
    "Alexander Gnedin",
    "Grigori Olshanski"
  ],
  "comment": "LaTeX, 15 pages",
  "journal": "Electronic Journal of Combinatorics 16 (2009), no. 1, paper #R78",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "A q-analogue of de Finetti's theorem is obtained in terms of a boundary problem for the q-Pascal graph. For q a power of prime this leads to a characterisation of random spaces over the Galois field F_q that are invariant under the natural action of the infinite group of invertible matrices with coefficients from F_q.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-04T12:33:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G09",
      "60J50",
      "60C05"
    ],
    "keywords": [
      "finettis theorem",
      "q-analogue",
      "infinite group",
      "natural action",
      "boundary problem"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.0367G"
    }
  }
}