Boundary transfer matrices arising from quantum symmetric pairs
arXiv:2410.21654 · doi:10.1016/j.indag.2025.05.008
Abstract
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. The main examples arise from quantum symmetric pairs of finite and affine type. As a special case we recover a construction by Kolb in finite type. We review recent work on universal solutions to the reflection equation and highlight several open problems in this field.
Minor edits. Final version. 32 p