Publications (18)
m-distance-regular graphs and their relation to multivariate P-polynomial association schemes
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet +2
An association scheme is -polynomial if and only if it consists of the distance matrices of a distance-regular graph. Recently, bivariate -polynomial association schemes of t…
Braid group and -Racah polynomials
Nicolas Crampé, Luc Vinet, Meri Zaimi
The irreducible representations of two intermediate Casimir elements associated to the recoupling of three identical irreducible representations of are consi…
Qubits as edge state detectors: illustration using the SSH model
Meri Zaimi, Christian Boudreault, Nouédyn Baspin +3
As is well known, qubits are the fundamental building blocks of quantum computers, and more generally, of quantum information. A major challenge in the development of quantum devic…
Contiguity relations for finite families of orthogonal polynomials in the Askey scheme
Nicolas Crampé, Lucia Morey, Luc Vinet +1
This paper classifies the contiguity relations for finite families of polynomials within the (-)Askey scheme. The necessary and sufficient conditions for the existence of these…
An algebraic treatment of the Pastro polynomials on the real line
Vutha Vichhea Chea, Luc Vinet, Meri Zaimi +1
The properties of the Pastro polynomials on the real line are studied with the help of a triplet of -difference operators. The -difference equation and recurrence relation th…
Revisiting the Askey--Wilson algebra with the universal R-matrix of
Nicolas Crampe, Julien Gaboriaud, Luc Vinet +1
A description of the embedding of the universal Askey--Wilson algebra, AW(3), in is given in terms of the universal R-matrix of . The generators…