Yang-Baxter operators from (G, θ)-Lie algebras

2010/11/09 by Florin F. Nichita, Nichita, Florin F., B. Popovici +1
Mathematics · #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)

paper · pdf · doi:10.48550/arxiv.1011.2072

openalex publication_date 2010/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The (G, \θ)-Lie algebras are structures which unify the Lie algebras and\nLie superalgebras. We use them to produce solutions for the quantum Yang-Baxter\nequation. The constant and the spectral-parameter Yang-Baxter equations and\nYang-Baxter systems are also studied.\n

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