140 citations · 1.3k across the 52 of their papers we have counts for
56 papers
The quantum loop algebra of and -Racah type bivariate functions
Pascal Baseilhac, Nicolas Crampe
A unified algebraic framework for two different six-parameter families of bivariate -Racah type functions is given using the representation theory of the quantum loop algebra $\…
Universal TT- and TQ-relations via centrally extended q-Onsager algebra
Pascal Baseilhac, Azat M. Gainutdinov, Guillaume Lemarthe
Let be the alternating central extension of the q-Onsager algebra, a comodule algebra over the quantum loop algebra of . We classify one-dimensional representations of…
The -Racah polynomials from scalar products of Bethe states II
Pascal Baseilhac, Rodrigo A. Pimenta
The theory of Leonard triples is applied to the derivation of normalized scalar products of on-shell and off-shell Bethe states generated from a Leonard pair. The scalar products t…
Fused K-operators and the -Onsager algebra
Guillaume Lemarthe, Pascal Baseilhac, Azat M. Gainutdinov
We study universal solutions to reflection equations with a spectral parameter, so-called K-operators, within a general framework of universal K-matrices - an extended version of t…
The -Racah polynomials from scalar products of Bethe states
Pascal Baseilhac, Rodrigo A. Pimenta
The -Racah polynomials are expressed in terms of certain ratios of scalar products of Bethe states associated with Bethe equations of either homogeneous or inhomogeneous type. T…
Freidel-Maillet type presentations of
Pascal Baseilhac
A unified framework for the Chevalley and equitable presentation of is introduced. It is given in terms of a system of Freidel-Maillet type equations satisfied by a pai…