28 citations · 110 across the 35 of their papers we have counts for
4 papers · 1 filter
A graph with fractional revival
Pierre-Antoine Bernard, Ada Chan, Érika Loranger +2
An example of a graph that admits balanced fractional revival between antipodes is presented. It is obtained by establishing the correspondence between the quantum walk on a hyperc…
Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
An inifinite-dimensional representation of the double affine Hecke algebra of rank 1 and type in which all generators are tridiagonal is presented. This represen…
A -generalization of the para-Racah polynomials
Jean-Michel Lemay, Luc Vinet, Alexei Zhedanov
New bispectral orthogonal polynomials are obtained from an unconventional truncation of the Askey-Wilson polynomials. In the limit , they reduce to the para-Racah polynomi…
and generalized Bannai-Ito algebras
vincent X. Genest, Luc Lapointe, Luc Vinet
Generalizations of the (rank 1) Bannai-Ito algebra are obtained from a refinement of the grade involution of the Lie super algebra . A hyperoctahedral extensio…