{
  "id": "math/0312310",
  "version": "v1",
  "published": "2003-12-16T17:05:34.000Z",
  "updated": "2003-12-16T17:05:34.000Z",
  "title": "An elementary approach to 6j-symbols (classical, quantum, rational, trigonometric, and elliptic)",
  "authors": [
    "Hjalmar Rosengren"
  ],
  "comment": "32 pages",
  "journal": "Ramanujan J. 13 (2007), 133-168",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP",
    "math.QA"
  ],
  "abstract": "Elliptic 6j-symbols first appeared in connection with solvable models of statistical mechanics. They include many interesting limit cases, such as quantum 6j-symbols (or q-Racah polynomials) and Wilson's biorthogonal 10-W-9 functions. We give an elementary construction of elliptic 6j-symbols, which immediately implies several of their main properties. As a consequence, we obtain a new algebraic interpretation of elliptic 6j-symbols in terms of Sklyanin algebra representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-12-16T17:05:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "33D45",
      "33D80",
      "82B23"
    ],
    "keywords": [
      "elementary approach",
      "trigonometric",
      "sklyanin algebra representations",
      "elliptic 6j-symbols first",
      "quantum 6j-symbols"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....12310R",
      "inspire": 1458206
    }
  }
}