Abstract:

With matrix of the derivation of Heisenberg superalgebra H relative to the basis of H as a tool, we obtained some
properties of the derivation algebra and holomorph of the finite dimensional Heisenberg superalgebra over the complex field C. The derivation algebra ofH is simple complete, while the holomorph of H is not complete Liesuperalgebras.

Key words: Heisenberg superalgebras, derivation algebra, complete Liesuperalgebras, holomorph