Triple Products and Yang-Baxter Equation (II): Orthogonal and Symplectic Ternary Systems
S. Okubo
TL;DR
This paper extends previous work by solving the Yang-Baxter equation using orthogonal and symplectic ternary systems, leading to new solutions in the field of mathematical physics.
Contribution
It introduces a generalization of earlier results by applying orthogonal and symplectic ternary systems to find new solutions to the Yang-Baxter equation.
Findings
New solutions to the Yang-Baxter equation discovered
Extension of previous results to orthogonal and symplectic systems
Broader class of ternary systems analyzed
Abstract
We generalize the result of the preceeding paper and solve the Yang-Baxter equation in terms of triple systems called orthogonal and symplectic ternary systems. In this way, we found several other new solutions.
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