272 citations · 2.2k across the 97 of their papers we have counts for
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Solutions of 3D Reflection Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
Rei Inoue, Atsuo Kuniba
We construct a new solution to the three-dimensional reflection equation, a boundary analogue of the tetrahedron equation. The -operator is the one obtained by Sun, Tera…
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…
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…
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…
Matrix product formula for -zero range process
Atsuo Kuniba, Masato Okado
The -zero range processes introduced recently by Mangazeev, Maruyama and the authors are integrable discrete and continuous time Markov processes associated with th…
Stochastic matrix for
Atsuo Kuniba, Vladimir V. Mangazeev, Shouya Maruyama +1
We show that the quantum matrix for symmetric tensor representations of satisfies the sum rule required for its stochastic interpretation under a suitable gaug…