29 citations · 132 across the 18 of their papers we have counts for
5 papers · 1 filter
Boundary transfer matrices arising from quantum symmetric pairs
Andrea Appel, Bart Vlaar
We introduce a universal framework for boundary transfer matrices, inspired by Sklyanin's two-row transfer matrix approach for quantum integrable systems with boundary conditions.…
Tensor K-matrices for quantum symmetric pairs
Andrea Appel, Bart Vlaar
Let be a symmetrizable Kac-Moody algebra, its quantum group, and a quantum symmetric pair subalgebr…
Trigonometric K-matrices for finite-dimensional representations of quantum affine algebras
Andrea Appel, Bart Vlaar
Let be a complex simple Lie algebra and the corresponding quantum affine algebra. We prove that every irreducible finite-dimensional $U_q(\…
Pseudo-symmetric pairs for Kac-Moody algebras
Vidas Regelskis, Bart Vlaar
Lie algebra involutions and their fixed-point subalgebras give rise to symmetric spaces and real forms of complex Lie algebras, and are well-studied in the context of symmetrizable…
Universal K-matrices for quantum Kac-Moody algebras
Andrea Appel, Bart Vlaar
We introduce the notion of a cylindrical bialgebra, which is a quasitriangular bialgebra endowed with a universal K-matrix, i.e., a universal solution of a generalized reflecti…