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Yang-Baxter operators from (G, θ)-Lie algebras
Florin F. Nichita, Bogdan P. Popovici
The (G, θ)-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 t…
Yang-Baxter operators from algebra structures and Lie superalgebras
Florin F. Nichita, Bogdan P. Popovici
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…
Algebra Structures Arising from Yang-Baxter Systems
Barbu R. Berceanu, Florin F. Nichita, Calin Popescu
Yang-Baxter operators from algebra structures appeared for the first time in [16], [17] and [8]. Later, Yang-Baxter systems from entwining structures were constructed in [5]. In th…