Results 1 to 10 of about 16,880 (213)
Yang–Baxter Equations, Computational Methods and Applications [PDF]
Axioms, 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.
Florin F. Nichita
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On the Colored and the Set-Theoretical Yang–Baxter Equations
Axioms, 2021 This paper is related to several articles published in AXIOMS, SCI, etc. The main concepts of the current paper are the colored Yang–Baxter equation and the set-theoretical Yang–Baxter equation.
Laszlo Barna Iantovics +1 more
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Hom-O-Operators and Hom-Yang-Baxter Equations [PDF]
Advances in Mathematical Physics, 2015 In Hom-Lie set, we introduce the concept of Hom-O-operators and study its relation with classical Hom-Yang-Baxter equation, as well as left-symmetric Hom-algebras.
Yuanyuan Chen, Liangyun Zhang
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On the parametrization of solutions of the Yang--Baxter equations [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 We study all five-, six-, and one eight-vertex type two-state solutions of the Yang-Baxter equations in the form $A_{12} B_{13} C_{23} = C_{23} B_{13} A_{12}$, and analyze the interplay of the `gauge' and `inversion' symmetries of these solution ...
J. Hietarinta, C. Viallet
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Yang-Baxter integrable Lindblad equations
SciPost Physics, 2020 We consider Lindblad equations for one dimensional fermionic models and quantum spin chains. By employing a (graded) super-operator formalism we identify a number of Lindblad equations than can be mapped onto non-Hermitian interacting Yang-Baxter ...
Aleksandra A. Ziolkowska, Fabian H.L. Essler
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Hom-Yang-Baxter Equations and Frobenius Monoidal Hom-Algebras
Advances in Mathematical Physics, 2018 It is shown that quasi-Frobenius Hom-Lie algebras are connected with a class of solutions of the classical Hom-Yang-Baxter equations. Moreover, a similar relation is discussed on Frobenius (symmetric) monoidal Hom-algebras and solutions of quantum Hom ...
Yuanyuan Chen, Liangyun Zhang
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Yang–Baxter sigma models based on the CYBE [PDF]
Nuclear Physics B, 2015 It is known that Yang–Baxter sigma models provide a systematic way to study integrable deformations of both principal chiral models and symmetric coset sigma models.
Takuya Matsumoto, Kentaroh Yoshida
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Mathematics and Poetry · Yang–Baxter Equations, Boolean Algebras, and BCK-Algebras
Sci, 2022 The current paper explores the potential of the areas between mathematics and poetry. We will first recall some definitions and results that are needed to construct solutions of the Yang–Baxter equation.
Tugce Kalkan +4 more
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Set-theoretical solutions of the Yang–Baxter and pentagon equations on semigroups
Semigroup Forum, 2020 The Yang–Baxter and pentagon equations are two well-known equations of Mathematical Physic. If S is a set, a map s: S× S→ S× S is said to be a set-theoretical solution of the quantum Yang–Baxter equation if s23s13s12=s12s13s23,where s12=s×idS, s23=idS×s,
Francesco Catino +2 more
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Yang–Baxter maps, discrete integrable equations and quantum groups
Nuclear Physics B, 2018 For every quantized Lie algebra there exists a map from the tensor square of the algebra to itself, which by construction satisfies the set-theoretic Yang–Baxter equation.
Vladimir V. Bazhanov, Sergey M. Sergeev
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