Yang-Baxter operators from algebra structures and Lie superalgebras

2010/09/03 by Florin F. Nichita, Nichita, Florin F., B. Popovici +2
Mathematics · Physics and Astronomy · #16T25 #17B60 #17B63 #17C90 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Algebra (math.QA) #hep-th #math.QA #msc:16T25 #msc:17B60 #msc:17B63 #msc:17C90

paper · pdf · doi:10.48550/arxiv.1009.0656

10 pages

openalex publication_date 2010/09/03 · arxiv created 2014/01/02 · arxiv updated 2014/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Lie algebras and Yang-Baxter equations
• Yang-Baxter operators from (G, θ)-Lie algebras
• Baxter Q-operators and representations of Yangians
• Yang-Baxter Equation on Two-Dimensional Lattice and Some Infinite Dimensional Algebras
• Yang-Baxter systems, solutions and applications