Boundary transfer matrices arising from quantum symmetric pairs
Representation Theory
2025-10-22 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2410.21654,
title = {Boundary transfer matrices arising from quantum symmetric pairs},
author = {Andrea Appel and Bart Vlaar},
journal= {arXiv preprint arXiv:2410.21654},
year = {2025}
}
Comments
Minor edits. Final version. 32 p