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Boundary transfer matrices arising from quantum symmetric pairs (2410.21654v1)
Published 29 Oct 2024 in math.RT, math-ph, and 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.
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