{
  "id": "1911.08314",
  "version": "v1",
  "published": "2019-11-18T11:10:53.000Z",
  "updated": "2019-11-18T11:10:53.000Z",
  "title": "Howe duality and algebras of the Askey-Wilson type: an overview",
  "authors": [
    "Julien Gaboriaud",
    "Luc Vinet",
    "Stéphane Vinet"
  ],
  "comment": "8 pages, Proceedings for XI. International Symposium Quantum Theory and Symmetries, 1 - 5 July 2019, Montreal, Canada",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "The Askey-Wilson algebra and its relatives such as the Racah and Bannai-Ito algebras were initially introduced in connection with the eponym orthogonal polynomials. They have since proved ubiquitous. In particular they admit presentations as commutants that are related through Howe duality. This paper surveys these results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-18T11:10:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C35",
      "81R50",
      "17B37",
      "22E70",
      "81R12"
    ],
    "keywords": [
      "howe duality",
      "askey-wilson type",
      "eponym orthogonal polynomials",
      "askey-wilson algebra",
      "bannai-ito algebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}