45 citations · 343 across the 47 of their papers we have counts for
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Factorized -Leonard pair
Nicolas Crampe, Meri Zaimi
The notion of factorized -Leonard pair is introduced. It is defined as a rank 2 Leonard pair, with actions in certain bases corresponding to the root system of the Weyl group…
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…
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…
Superspace realizations of the Bannai-Ito algebra
N. Crampe, H. De Bie, P. Iliev +1
A model of the Bannai-Ito algebra in a superspace is introduced. It is obtained from the three-fold tensor product of the basic realization of the Lie superalgebra in te…
A bivariate -polynomial structure for the non-binary Johnson scheme
Nicolas Crampe, Luc Vinet, Meri Zaimi +1
The notion of multivariate - and -polynomial association scheme has been introduced recently, generalizing the well-known univariate case. Numerous examples of such associati…
The Higher-Rank Askey-Wilson Algebra and Its Braid Group Automorphisms
Nicolas Crampé, Luc Frappat, Loïc Poulain d'Andecy +1
We propose a definition by generators and relations of the rank Askey-Wilson algebra for any integer , generalising the known presentation for the usual…