Results 21 to 30 of about 44,390 (178)
Yang-Baxter equation in median algebras
, 2020 In this paper, at first median algebras and the Yang-Baxter equation are studied, some of their properties are presented. After giving some solutions to the set-theoretical Yang-Baxter equation by using these properties, it is found a solution that is ...
Oner, Tahsin +2 more
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Left braces and the quantum Yang-Baxter equation [PDF]
, 2019 [EN] Braces were introduced by Rump in 2007 as a useful tool in the study of the set-theoretic solutions of the Yang¿Baxter equation. In fact, several aspects of the theory of finite left braces and their applications in the context of the Yang¿Baxter ...
BALLESTER BOLINCHES, ADOLFO +4 more
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Hom-O-Operators and Hom-Yang-Baxter Equations
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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Axioms, 2017 The aim of this paper is to give a new equivalent set of axioms for MV-algebras, and to show that the axioms are independent. In addition to this, we handle Yang–Baxter equation problem.
Tahsin Oner +2 more
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Tri-vector deformations on compact isometries
European Physical Journal C: Particles and Fields, 2023 Classical Yang–Baxter equation governing bi-vector deformations of 10d supergravity is known to have no solutions along non-abelian compact isometries.
Edvard T. Musaev, Timophey Petrov
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Yang-Baxter deformations of Minkowski spacetime [PDF]
, 2015 We study Yang-Baxter deformations of 4D Minkowski spacetime. The Yang-Baxter sigma model description was originally developed for principal chiral models based on a modified classical Yang-Baxter equation.
Jun-ichi Sakamoto +9 more
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Yang-Baxter deformations of the AdS 5 × T 1,1 superstring and their backgrounds
Journal of High Energy Physics, 2021 We consider three-parameter Yang-Baxter deformations of the AdS 5 × T 1,1 superstring for abelian r-matrices which are solutions of the classical Yang-Baxter equation.
Laura Rado +2 more
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YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
Forum of Mathematics, Sigma, 2019 Employing bijectivization of summation identities, we introduce local stochastic moves based on the Yang–Baxter equation for $U_{q}(\widehat{\mathfrak{sl}_{2}})$.
ALEXEY BUFETOV, LEONID PETROV
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Yang-Baxter Equation and Category of Skew Braces [PDF]
, 2022 openA skew brace is a set with two groups structure connected each other with an "odd" distributivity. They appears in the study of the Yang- Baxter equation, an equation from statistichal mechanics that shows up when discussing knot theory and braid ...
POMPILI, MARA
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Left Braces: Solutions of the Yang-Baxter Equation [PDF]
Advances in Group Theory and Applications, 2018 This is a survey on the theory of left braces, an algebraic structure introduced by Rump as a generalization of Jacobson radical rings to study non-degenerate involutive set-theoretic solutions of the Yang-Baxter equation.
Ferran Cedó
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