Yang-Baxter operators from algebra structures and Lie superalgebras
Florin F. Nichita, Bogdan P. Popovici
TL;DR
This paper constructs solutions to the Yang-Baxter equations using algebra structures and Lie superalgebras, exploring their symmetries and applications in mathematical physics.
Contribution
It introduces new solutions to Yang-Baxter equations derived from algebraic and Lie superalgebra frameworks, expanding the understanding of their symmetries and potential applications.
Findings
Solutions for constant and spectral-parameter Yang-Baxter equations derived from algebra structures.
Analysis of symmetries associated with these solutions.
Applications demonstrating the relevance of the solutions in mathematical physics.
Abstract
We present solutions for the (constant and spectral-parameter) Yang-Baxter equations and Yang-Baxter systems arising from algebra structures and discuss about their symmetries. In the last section, we present some applications.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry