Set-Theoretical Solutions for the Yang–Baxter Equation in GE-Algebras: Applications to Quantum Spin Systems

Set-Theoretical Solutions for the Yang–Baxter Equation in GE-Algebras: Applications to Quantum Spin Systems

This manuscript presents set-theoretical solutions to the Yang–Baxter equation within the framework of GE-algebras by constructing mappings that satisfy the braid condition and exploring the algebraic properties of GE-algebras. Detailed proofs and the use of left and right translation operators are...

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Bibliographic Details
Main Authors: Ibrahim Senturk, Tahsin Oner, Abdullah Engin Çalık, Hüseyin Şirin, Metin Bilge, Neelamegarajan Rajesh
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Axioms
Subjects:
Yang–Baxter equation
GE-algebras
set-theoretical solutions
quantum spin system
braid condition
Online Access:https://www.mdpi.com/2075-1680/13/12/846
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