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.
Boundary transfer matrices arising from quantum symmetric pairs / Appel, A.; Vlaar, B.. - In: INDAGATIONES MATHEMATICAE. - ISSN 0019-3577. - (2025). [10.1016/j.indag.2025.05.008]
Boundary transfer matrices arising from quantum symmetric pairs
Appel A.;
2025-01-01
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.File in questo prodotto:
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