14 citations · 61 across the 19 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…
-Griffiths polynomials: Bispectrality and biorthogonality
N. Crampe, L. Frappat, J. Gaboriaud +3
We introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter . These -Griffiths polynomials are bivariate, bispectral and biorthogona…
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…
Fused Hecke algebra and one-boundary algebras
L. Poulain d'Andecy, M. Zaimi
This paper gives an algebraic presentation of the fused Hecke algebra which describes the centraliser of tensor products of the -representation labelled by a one-row par…
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…