An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform

Mesuma Atakishiyeva; Natig Atakishiyev; Alexei Zhedanov

doi:10.1063/5.0061672

An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform

Mathematical Physics 2021-11-03 v2 math.MP

Authors: Mesuma Atakishiyeva , Natig Atakishiyev , Alexei Zhedanov

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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.

Keywords

intertwining operators discrete fourier transform cubic algebra askey-wilson algebra askey-wilson-heun algebra root of unity

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@article{arxiv.2105.10579,
  title  = {An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform},
  author = {Mesuma Atakishiyeva and Natig Atakishiyev and Alexei Zhedanov},
  journal= {arXiv preprint arXiv:2105.10579},
  year   = {2021}
}

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9 pages, 22 references

An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform

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