{
  "id": "1310.7273",
  "version": "v2",
  "published": "2013-10-27T23:23:39.000Z",
  "updated": "2014-03-19T05:33:51.000Z",
  "title": "Symmetry Groups of $A_n$ Hypergeometric Series",
  "authors": [
    "Yasushi Kajihara"
  ],
  "journal": "SIGMA 10 (2014), 026, 29 pages",
  "doi": "10.3842/SIGMA.2014.026",
  "categories": [
    "math.CA",
    "math.CO",
    "math.GR"
  ],
  "abstract": "Structures of symmetries of transformations for Holman-Biedenharn-Louck $A_n$ hypergeometric series: $A_n$ terminating balanced ${}_4 F_3$ series and $A_n$ elliptic ${}_{10} E_9$ series are discussed. Namely the description of the invariance groups and the classification all of possible transformations for each types of $A_n$ hypergeometric series are given. Among them, a \"periodic\" affine Coxeter group which seems to be new in the literature arises as an invariance group for a class of $A_n$ ${}_4 F_3$ series.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-19T05:33:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hypergeometric series",
      "symmetry groups",
      "invariance group",
      "affine coxeter group",
      "transformations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "SIGMA",
      "year": 2014,
      "month": "Mar",
      "volume": 10,
      "pages": "026"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014SIGMA..10..026K"
    }
  }
}