{
  "id": "2105.10579",
  "version": "v1",
  "published": "2021-05-21T21:22:22.000Z",
  "updated": "2021-05-21T21:22:22.000Z",
  "title": "An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform",
  "authors": [
    "Mesuma Atakishiyeva",
    "Natig Atakishiyev",
    "Alexei Zhedanov"
  ],
  "comment": "8 pages, 21 references",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that intertwining operators for the discrete Fourier transform form a cubic algebra $\\mathcal{C}_q$ with $q$ a root of unity. This algebra is intimately related to the two other well-known realizations of the cubic algebra: the Askey-Wilson algebra and the Askey-Wilson-Heun algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-05-21T21:22:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "42A38"
    ],
    "keywords": [
      "intertwining operators",
      "algebraic interpretation",
      "discrete fourier transform form",
      "cubic algebra",
      "askey-wilson-heun algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}