一类可解李代数及其Hom-李代数结构

李小朝, 李东亚, 靳全勤

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

数学季刊 >

2014 , Vol. 29 >Issue 2: 231 - 237

DOI: https://doi.org/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

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

LI Xiao-chao(1981-), male, native of Zhumadian, Henan, an associate professor of Huanghuai University, Ph.D., engages in Lie algebra.

收稿日期: 2012-08-17

网络出版日期: 2021-04-02

基金资助

Supported by the National Natural Science Foundation of China（11071187）； Supported by the Natural Science Foundation of Henan Province（13A110785）；

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

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

LI Xiao-chao(1981-), male, native of Zhumadian, Henan, an associate professor of Huanghuai University, Ph.D., engages in Lie algebra.

Received date: 2012-08-17

Online published: 2021-04-02

Supported by

Supported by the National Natural Science Foundation of China（11071187）； Supported by the Natural Science Foundation of Henan Province（13A110785）；

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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

本文引用格式

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

Abstract

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

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