Structures of the Lie Algebra L Related to Virasoro Algebra

Derivations and universal central extensions of the Lie algebra L were studied using the Lie algebra where L = m∈Z( CLm CEm) which contains the centerless Virasoro algebra( Witt algebra) as a subalgebra. It is proved that L is a complete infinite-dimensional Lie algebra and the universal central extension of L in the category of Leibniz algebras is the same as that in the category of Lie algebras.