In this paper,the devivation algebra Dery of Lie algebra is given,y which is thd direct sum of a Heisenbery algebra H and an abelian &. It is proved that Dery id a simple complete Lie algebra.

• 文中给出了一个Heisenberg代数与一个交换Lie代数的直和的导子代数，证明了给出的导子代数为一个单完备Lie代数