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On solvable complete symplectic Lie algebras
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classification
math.DG
keywords
completesymplecticalgebrassolvablestructureadmitalgebraclasses
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.
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