28 citations · 112 across the 36 of their papers we have counts for
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Matrix elements of in representations as bispectral multivariate functions
Nicolas Crampe, Julien Gaboriaud, Loïc Poulain d'Andecy +1
We compute the matrix elements of in any finite-dimensional irreducible representation of . They are expressed in terms of a double sum of products of Krawtchouk and…
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…
A note on models and the biorthogonality of generating functions of Krawtchouk polynomials
Luc Vinet, Alexei Zhedanov
Eigenvalue problems on irreducible modules and their adjoints are considered in the Bargmann, Barut-Girardello and finite difference models. The biorthogonality…
An algebraic treatment of the Askey biorthogonal polynomials on the unit circle
Luc Vinet, Alexei Zhedanov
A joint algebraic interpretation of the biorthogonal Askey polynomials on the unit circle and of the orthogonal Jacobi polynomials is offered. It ties their bispectral properties t…
Racah problems for the oscillator algebra, the Lie algebra , and multivariate Krawtchouk polynomials
Nicolas Crampé, Wouter van de Vijver, Luc Vinet
The oscillator Racah algebra is realized by the intermediate Casimir operators arising in the multifold tensor product of the oscillator algebra $\mat…
Bannai-Ito algebras and the universal R-matrix of osp(1|2)
Nicolas Crampe, Luc Vinet, Meri Zaimi
The Bannai-Ito algebra is viewed as the centralizer of the action of in the -fold tensor product of the universal algebra of this Lie superalgebra.…