Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices

被引：0
|
作者：
Hu, Zhiguang [1 ]
机构：
[1] Tianjin Normal Univ, Coll Math Sci, Tianjin 300387, Peoples R China
来源：
JOURNAL OF MATHEMATICS | 2022年 / 2022卷
关键词：
AUTOMORPHISMS;
D O I：
10.1155/2022/3484381
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the strongly ad-nilpotent elements of the Lie algebra t(n, C) of upper triangular complex matrices are studied. We prove that all the nilpotent matrices in t(n,C) are strongly ad-nilpotent if and only if n <= 6. Additionally, we prove that all the elements expad x, x strongly ad-nilpotent generate the inner automorphism group Int t(n, C).
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页数：5
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