Yang-Baxter operators from (G, \theta)-Lie algebras
Florin F. Nichita, Bogdan P. Popovici
TL;DR
This paper introduces a method to generate solutions for the quantum Yang-Baxter equation using (G, \theta)-Lie algebras, which unify Lie algebras and Lie superalgebras, and explores related equations and systems.
Contribution
It presents a novel approach to constructing Yang-Baxter operators from (G, \theta)-Lie algebras, expanding the algebraic tools for quantum integrable systems.
Findings
Constructed new solutions to the quantum Yang-Baxter equation.
Analyzed solutions for the spectral-parameter Yang-Baxter equations.
Studied Yang-Baxter systems within the (G, \theta)-Lie algebra framework.
Abstract
The (G, \theta)-Lie algebras are structures which unify the Lie algebras and Lie superalgebras. We use them to produce solutions for the quantum Yang-Baxter equation. The constant and the spectral-parameter Yang-Baxter equations and Yang-Baxter systems are also studied.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Algebra and Geometry