89 citations · 2.9k across the 167 of their papers we have counts for
23 papers · 1 filter
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…
Gaussian generators for the Yangian associated with the Lie superalgebra
Alexander Molev, Eric Ragoucy
We give a new presentation of the Yangian for the orthosymplectic Lie superalgebra . It relies on the Gauss decomposition of the generator matrix in the -…
The Askey-Wilson algebra and its avatars
Nicolas Crampé, Luc Frappat, Julien Gaboriaud +3
The original Askey-Wilson algebra introduced by Zhedanov encodes the bispectrality properties of the eponym polynomials. The name 'Askey-Wilson algebra' is currently used to refer…
Elliptic deformation of -algebras
J. Avan, L. Frappat, E. Ragoucy
We construct -deformations of quantum algebras with elliptic structure functions. Their spin generators are built from products of the Lax matrix gene…
The quantum determinant of the elliptic algebra
L. Frappat, D. Issing, E. Ragoucy
We introduce the quantum determinant for the elliptic quantum algebra and prove that it generates the center of this algebra.
Higher order Hamiltonians for the trigonometric Gaudin model
Alexander Molev, Eric Ragoucy
We consider the trigonometric classical -matrix for and the associated quantum Gaudin model. We produce higher Hamiltonians in an explicit form by applying the…