Results 21 to 30 of about 7,536,502 (162)

Quantum groups, Yang–Baxter maps and quasi-determinants

Nuclear Physics B, 2018
For any quasi-triangular Hopf algebra, there exists the universal R-matrix, which satisfies the Yang–Baxter equation. It is known that the adjoint action of the universal R-matrix on the elements of the tensor square of the algebra constitutes a quantum ...
Zengo Tsuboi
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Yang-Baxter equation and cryptography [PDF]

, 2022
We find a method to construct iteratively from a non-degenerate involutive set-theoretic solution of the Yang-Baxter equation an infinite family of very large non-degenerate involutive set-theoretic solutions.
Chouraqui, Fabienne
core   +1 more source

An Independent Set of Axioms of MV-Algebras and Solutions of the Set-Theoretical Yang–Baxter Equation

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, Ibrahim Senturk, Gulsah 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
doaj   +1 more source

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
doaj   +1 more source

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, Victor O. Rivelles, Renato Sánchez   +2 more
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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, Katican, Tugce, Saeid, Arsham Borumand   +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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Solving the $4 \times 4$ quantum Yang-Baxter equation

SciPost Physics
In this paper, we complete the classification of $4×4$ analytic solutions of the Yang–Baxter equation. Regular solutions were recently classified and in this paper we find the remaining non-regular solutions.
Marius de Leeuw, Vera Posch
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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
doaj   +1 more source