以幂零李代数Rn为幂零根基的可解李代数

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 100-107.

以幂零李代数Rn为幂零根基的可解李代数

Department of Mathematics, China West Normal University

收稿日期:2007-05-18 出版日期:2011-03-30 发布日期:2023-05-12
作者简介:WU Ming-zhong(1981- ), male, native of Huaying, Sichuan, a lecturer of China West Normal University, M.S.D., engages in Lie group.

The Solvable Lie Algebras with Filiform Rn Nilradicals

Department of Mathematics, China West Normal University

Received:2007-05-18 Online:2011-03-30 Published:2023-05-12
About author:WU Ming-zhong(1981- ), male, native of Huaying, Sichuan, a lecturer of China West Normal University, M.S.D., engages in Lie group.

摘要/Abstract

摘要： In this paper we explicitly determine automorphism group of filiform Lie algebra Rn to find the indecomposable solvable Lie algebras with filiform Lie algebra Rn nilradicals. We also prove that the indecomposable solvable Lie algebras with filiform Rn nilradicals is complete.

关键词: automorphism, derivation algebra, nilpotent Lie algebra

Abstract: In this paper we explicitly determine automorphism group of filiform Lie algebra Rn to find the indecomposable solvable Lie algebras with filiform Lie algebra Rn nilradicals. We also prove that the indecomposable solvable Lie algebras with filiform Rn nilradicals is complete.

Key words: automorphism, derivation algebra, nilpotent Lie algebra

中图分类号:

O152.5

吴明忠. 以幂零李代数Rn为幂零根基的可解李代数[J]. 数学季刊, 2011, 26(1): 100-107.

WU Ming-zhong. The Solvable Lie Algebras with Filiform Rn Nilradicals [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 100-107.

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