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Yang-Baxter Equations, Computational Methods and Applications

2015/06/11 by Nichita, Florin F.
#16T10 #16T25 #17B01 #17B60 #17C05 #17C50 #17D99 #65D20 #65L09 #68R99 #97M10 #97M80 #97N50 #97N80 #97P20 #97R20 #Computational Engineering #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Mathematical Physics (math-ph) #and Science (cs.CE)

paper · doi:10.48550/arxiv.1506.03610

Abstract

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 proved.

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