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).

引用

页数：5

共 9 条

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