
arXiv: 1506.03610
Computational methods are an important tool for solving the Yang–Baxter equations (in small dimensions), for classifying (unifying) structures and for solving related problems. This paper is an account of some of the latest developments on the Yang–Baxter equation, its set-theoretical version and its applications. We construct new set-theoretical solutions for the Yang–Baxter equation. Unification theories and other results are proposed or proven.
FOS: Computer and information sciences, Jordan algebras, Yang-Baxter equations, Yang-Baxter equation, FOS: Physical sciences, Yang–Baxter equation, Mathematical Physics (math-ph), Computational aspects of associative rings (general theory), non-associative structures, Computational Engineering, Finance, and Science (cs.CE), computational methods, universal gate, Lie algebras, QA1-939, 16T10, 16T25, 17B01, 17B60, 17C05, 17C50, 17D99, 65D20, 65L09, 68R99, 97M10, 97M80, 97N50, 97N80, 97P20, 97R20, associative algebras, Computer Science - Computational Engineering, Finance, and Science, Mathematics, Mathematical Physics
FOS: Computer and information sciences, Jordan algebras, Yang-Baxter equations, Yang-Baxter equation, FOS: Physical sciences, Yang–Baxter equation, Mathematical Physics (math-ph), Computational aspects of associative rings (general theory), non-associative structures, Computational Engineering, Finance, and Science (cs.CE), computational methods, universal gate, Lie algebras, QA1-939, 16T10, 16T25, 17B01, 17B60, 17C05, 17C50, 17D99, 65D20, 65L09, 68R99, 97M10, 97M80, 97N50, 97N80, 97P20, 97R20, associative algebras, Computer Science - Computational Engineering, Finance, and Science, Mathematics, Mathematical Physics
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