29 citations · 132 across the 18 of their papers we have counts for
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Quasi-bialgebras from set-theoretic type solutions of the Yang-Baxter equation
Anastasia Doikou, Alexandros Ghionis, Bart Vlaar
We examine classes of quantum algebras emerging from involutive, non-degenerate set-theoretic solutions of the Yang-Baxter equation and their q-analogues. After providing some univ…
Quasitriangular coideal subalgebras of in terms of generalized Satake diagrams
Vidas Regelskis, Bart Vlaar
Let be a finite-dimensional semisimple complex Lie algebra and an involutive automorphism of . According to G. Letzter, S. Kolb and M. Balagović th…
Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations
Nicolai Reshetikhin, Jasper Stokman, Bart Vlaar
We construct integral representations of solutions to the boundary quantum Knizhnik-Zamolodchikov equations. These are difference equations taking values in tensor products of Verm…
Boundary transfer matrices and boundary quantum KZ equations
Bart Vlaar
A simple relation between inhomogeneous transfer matrices and boundary quantum KZ equations is exhibited for quantum integrable systems with reflecting boundary conditions, analogo…
Boundary quantum Knizhnik-Zamolodchikov equations and fusion
Nicolai Reshetikhin, Jasper Stokman, Bart Vlaar
In this paper we extend our previous results concerning Jackson integral solutions of the boundary quantum Knizhnik-Zamolodchikov equations with diagonal K-operators to higher-spin…
Koornwinder polynomials and the XXZ spin chain
Jasper Stokman, Bart Vlaar
Nonsymmetric Koornwinder polynomials are multivariable extensions of nonsymmetric Askey-Wilson polynomials. They naturally arise in the representation theory of (double) affine Hec…
Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors
Nicolai Reshetikhin, Jasper Stokman, Bart Vlaar
Solutions to boundary quantum Knizhnik-Zamolodchikov equations are constructed as bilateral sums involving "off-shell" Bethe vectors in case the reflection matrix is diagonal and o…