摘要
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);此外,我们还给出Aut(H)的一些子群;并在低阶(n=0,1,2)情形下,讨论了Aut(H)与这些子群之间的关系.
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. It has been proved that if n = 0,1,2, then every element of Aut （H） is the multiplication of finitely many inner automorphisms, central automorphisms, ivolutionary automorphisms, and the first and the second extremal automorphisms.
出处
《首都师范大学学报（自然科学版）》
2007年第1期1-7,14,共8页
Journal of Capital Normal University：Natural Science Edition
基金
国家自然科学基金资助项目(编号:10271081)
