An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform
Mesuma K. Atakishiyeva, Natig M. Atakishiyev, Alexei S. Zhedanov · Journal of Mathematical Physics · 2021
We show that intertwining operators for the discrete Fourier transform form a cubic algebra Cq, with q being a root of unity. This algebra is intimately related to the other two well-known realizations of the cubic algebra: the Askey–Wilson algebra and the Askey–Wilson–Heun algebra.