Proposed method constructs a transfer matrix showing integrability in a lattice model, indicating implications for quantum mechanics.
In this paper we propose a method of construction of a double layer-to-layer auxiliary transfer matrix defined on a half-plane with a boundary. The transfer matrix obtained has the following features: - It produces a complete set of integrals of motion, - Its ingredients can be seen as an auxiliary problem for $3d$ Kuniba-Okado reflection matrix, - The model obtained has no quantum group interpretation.
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С. М. Сергеев (2025) studied this question.
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