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

LI Xiao-chao, LI Dong-ya, JIN Quan-qin

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

Chinese Quarterly Journal of Mathematics >

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

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2014.02.011

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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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

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

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