14 citations · 61 across the 19 of their papers we have counts for
21 papers
Knot contact homology as a planar limit of Chern-Simons theory
Ben Webster, Meri Zaimi
We prove a conjecture relating augmentation varieties to the large limit of Chern-Simons theory. Although this does not directly establish that the augmentation polynomial of a…
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…
Meta algebras and biorthogonal rational functions: the -Hahn case
Pierre-Antoine Bernard, Abderahmane Bouziane, Samuel Pellerin +5
A unified algebraic interpretation of both finite families of orthogonal polynomials and biorthogonal rational functions of -Hahn type is provided. The approach relies on the me…
Bivariate - and -polynomial structures of the association schemes based on attenuated spaces
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet +2
The bivariate - and -polynomial structures of association schemes based on attenuated spaces are examined using recurrence and difference relations of the bivariate polynomia…
Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +3
Bivariate Griffiths polynomials of Racah type are constructed from univariate Racah polynomials. The bispectral properties of the former are deduced from simple properties of the l…
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…
Bivariate -polynomial association schemes
P. -A. Bernard, N. Crampe, L. Poulain d'Andecy +2
Bivariate P-polynomial association scheme of type are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent to…
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…
biorthogonal polynomials of Hahn type
Luc Vinet, Meri Zaimi, Alexei Zhedanov
A finite family of polynomials is introduced and studied. It consists in a set of polynomials of form whose biorthogonality to an ensemble of rational functions i…
Askey-Wilson braid algebra and centralizer of
Nicolas Crampe, Loic Poulain d'Andecy, Luc Vinet +1
A presentation of the centralizer of the three-fold tensor product of the spin representation of the quantum group is provided. It is expressed as a quot…
Chern-Simons theory, link invariants and the Askey-Wilson algebra
Nicolas Crampé, Luc Vinet, Meri Zaimi
The occurrence of the Askey-Wilson (AW) algebra in the Chern-Simons (CS) theory and in the Reshetikhin-Turaev (RT) link invariant construction with quantum algebra $U_q(\ma…
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…
Temperley-Lieb, Birman-Murakami-Wenzl and Askey-Wilson algebras and other centralizers of
Nicolas Crampé, Luc Vinet, Meri Zaimi
The centralizer of the image of the diagonal embedding of in the tensor product of three irreducible representations is examined in a Schur-Weyl duality spir…
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…
Detecting topological edge states with the dynamics of a qubit
Meri Zaimi, Christian Boudreault, Nouédyn Baspin +4
We consider the Su-Schrieffer-Heeger (SSH) chain, which has 0, 1, or 2 topological edge states depending on the ratio of the hopping parameters and the parity of the chain length.…
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…
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.…