On solvable complete symplectic Lie algebras


Abstract


In this paper, we are interested in solvable complete Lie algebras, over the field \K=\R or \mathbb{C}, which admit a symplectic structure. Specifically, important classes are studied, and a description of complete Lie Algebra with the dimension of nilradical less or equal than six, which supported symplectic structure is given.

Keywords: Symplectic Lie algebras; Frobenius algebras; Complete Lie algebra

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