| In this paper, the holomorph h(g0) of a Lie algebra g0 which is a driect sum of a Heisenberg algebra and an abelian Lie algebra is given. The derivation algebra Derh(g0) of h(g0) is also given. We prove that h(g0) is not a complete Lie algebra, but Derh(g0) is a simple complete Lie algebra. |
