Solutions of the Yang-Baxter equation and quantum sl(2)
Maxim Vybornov
TL;DR
This paper constructs a quantum deformation of solutions to the Yang-Baxter equation derived from the Lie algebra sl(2), advancing the understanding of quantum groups and integrable models.
Contribution
It introduces a novel quantum deformation of Yang-Baxter solutions associated with sl(2), expanding the mathematical framework of quantum algebra.
Findings
New quantum deformation of Yang-Baxter solutions
Enhanced understanding of quantum sl(2) structures
Potential applications in integrable systems
Abstract
We construct a quantum deformation of a family of the Yang-Baxter equation solutions naturally arising from a Lie algebra sl(2).
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry