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math.QA2024★ 1 cited
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
Rei Inoue, Atsuo Kuniba, Xiaoyue Sun +2
We construct a new solution to the tetrahedron equation by further pursuing the quantum cluster algebra approach in our previous works. The key ingredients include a symmetric butt…
math.QA2023
Quantum cluster algebras and 3D integrability: Tetrahedron and 3D reflection equations
Rei Inoue, Atsuo Kuniba, Yuji Terashima
We construct a new solution to the tetrahedron equation and the three-dimensional (3D) reflection equation by extending the quantum cluster algebra approach by Sun and Yagi concern…
math.QA2023
Tetrahedron equation and quantum cluster algebras
Rei Inoue, Atsuo Kuniba, Yuji Terashima
We develop the quantum cluster algebra approach recently introduced by Sun and Yagi to investigate the tetrahedron equation, a three-dimensional generalization of the Yang-Baxter e…