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Yang–Baxter Equations, Computational Methods and Applications

Simion Stoilow Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, 010702 Bucharest, Romania
Academic Editor: Angel Garrido
Axioms 2015, 4(4), 423-435; https://doi.org/10.3390/axioms4040423
Received: 31 August 2015 / Revised: 28 September 2015 / Accepted: 28 September 2015 / Published: 9 October 2015
(This article belongs to the Special Issue Hopf Algebras, Quantum Groups and Yang-Baxter Equations 2015)
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. View Full-Text
Keywords: Yang–Baxter equation; computational methods; universal gate; non-associative structures; associative algebras; Jordan algebras; Lie algebras Yang–Baxter equation; computational methods; universal gate; non-associative structures; associative algebras; Jordan algebras; Lie algebras
MDPI and ACS Style

Nichita, F.F. Yang–Baxter Equations, Computational Methods and Applications. Axioms 2015, 4, 423-435. https://doi.org/10.3390/axioms4040423

AMA Style

Nichita FF. Yang–Baxter Equations, Computational Methods and Applications. Axioms. 2015; 4(4):423-435. https://doi.org/10.3390/axioms4040423

Chicago/Turabian Style

Nichita, Florin F. 2015. "Yang–Baxter Equations, Computational Methods and Applications" Axioms 4, no. 4: 423-435. https://doi.org/10.3390/axioms4040423

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