Solutions of Yang Baxter equation of mock-Lie algebras and related Rota Baxter algebras

We study the structure of symplectic mock-Lie algebras, and we give a necessary and sufficient condition to construct a symplectic Lie algebra, starting from a symplectic mock Lie algebra. Moreover, we investigate the equivalence between the existence of a symplectic form on a mock-Lie algebra and the existence of a solution of the Yang-Baxter equation. Finally, we conclude the work with the salient results and discussion.