Heisenberg李代数自同构群的结构  

The structure of the Heisenberg Lie algebras automorphism group

作　　者：张彦 任斌[1] ZHANG Yan;REN Bin(School of Mathematics and Physics,SUST,Suzhou 215009,China)

机构地区：[1]苏州科技大学数理学院

出　　处：《苏州科技大学学报（自然科学版）》2019年第3期20-24,30,共6页Journal of Suzhou University of Science and Technology（Natural Science Edition）

基　　金：国家自然科学基金资助项目(11271056)

摘　　要：主要研究了Heisenberg李代数N的自同构群的结构,用矩阵的表达方式得到了(2n+1)维Heisenberg李代数自同构的充要条件,并得到了5维Heisenberg李代数自同构群的分解结构。This paper has mainly discussed the automorphism of Heisenberg Lie algebra N.A sufficient and necessary condition for automorphism of the(2n+1)dimensional Heisenberg Lie algebras was obtained by way of matrix representation.We also gained the decomposition structure of the five-dimensional Heisenberg Lie algebra automorphism group.

关 键 词：Heisenberg李代数 基 自同构 

分 类 号：O152[理学—数学]