Chinese Quarterly Journal of Mathematics ›› 2014, Vol. 29 ›› Issue (2): 231-237.doi: 10.13371/j.cnki.chin.q.j.m.2014.02.011

Previous Articles     Next Articles

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

  

  1. 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);

Abstract: The finite-dimensional indecomposable solvable Lie algebras s with Q2n+1as their nilradical are studied and classified, it turns out that the dimension of s is dim Q2n+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

CLC Number: