一类可解李代数及其Hom-李代数结构

doi:10.13371/j.cnki.chin.q.j.m.2014.02.011

数学季刊 ›› 2014, Vol. 29 ›› Issue (2): 231-237.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.011

一类可解李代数及其Hom-李代数结构

1. Department of Mathematics, Huanghuai University2. Department of Mathematics, Tongji University

收稿日期:2012-08-17 出版日期:2014-06-30 发布日期:2021-04-02
作者简介: LI Xiao-chao(1981-), male, native of Zhumadian, Henan, an associate professor of Huanghuai University, Ph.D., engages in Lie algebra.
基金资助:
Supported by the National Natural Science Foundation of China（11071187）； Supported by the Natural Science Foundation of Henan Province（13A110785）；

A Class of Solvable Lie Algebras and Their Hom-Lie Algebra Structures

1. Department of Mathematics, Huanghuai University2. Department of Mathematics, Tongji University

Received:2012-08-17 Online:2014-06-30 Published:2021-04-02
About author: LI Xiao-chao(1981-), male, native of Zhumadian, Henan, an associate professor of Huanghuai University, Ph.D., engages in Lie algebra.
Supported by:
Supported by the National Natural Science Foundation of China（11071187）； Supported by the Natural Science Foundation of Henan Province（13A110785）；

摘要/Abstract

摘要： The finite-dimensional indecomposable solvable Lie algebras s with Q_2n+1as their nilradical are studied and classified, it turns out that the dimension of s is dim Q_2n+1+1.Then the Hom-Lie algebra structures on solvable Lie algebras s are calculated.

关键词: solvable Lie algebra, nilradical, Hom-Lie algebra, structure

Abstract: The finite-dimensional indecomposable solvable Lie algebras s with Q_2n+1as their nilradical are studied and classified, it turns out that the dimension of s is dim Q_2n+1+1.Then the Hom-Lie algebra structures on solvable Lie algebras s are calculated.

Key words: solvable Lie algebra, nilradical, Hom-Lie algebra, structure

中图分类号:

O152.5

李小朝, 李东亚, 靳全勤. 一类可解李代数及其Hom-李代数结构[J]. 数学季刊, 2014, 29(2): 231-237.

LI Xiao-chao, LI Dong-ya, JIN Quan-qin. A Class of Solvable Lie Algebras and Their Hom-Lie Algebra Structures[J]. Chinese Quarterly Journal of Mathematics, 2014, 29(2): 231-237.

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一类可解李代数及其Hom-李代数结构

A Class of Solvable Lie Algebras and Their Hom-Lie Algebra Structures

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