In this paper,we first present two defining forms of Heisenberg Lie algebra. From these two forms,we determine the automorphism group Aut(H) of the(2n+1)-dimensional Heisenberg Lie algebra H.Moreover,some subgroups of Aut(H) are obtained.

• 首先给出了Heisenberg李代数的两种定义形式,由这两种定义形式,我们得到了(2n+1)维Heisenberg李代数的自同构群Aut(H);