西北师范大学学报（自然科学版）2016，Vol.52Issue(6)：6-12,7.DOI:10.16783/j.cnki.nwnuz.2016.06.002
有限维幂零 Hom-李代数的分类
Classification of finite-dimensional nilpotent Hom-Lie algebras
摘要
Abstract
Some properties on nilpotent and solvable Hom-Lie algebras are presented in this paper.The results on solvability and nilpotency of classical finite dimensional Lie algebras are generalized to Hom-Lie algebras.Furthermore,four dimensional and five dimensional nilpotent Hom-Lie algebras are classified. By the dimension of the half center of Hom-Lie algebras,four dimensional and five dimensional nilpotent Hom-Lie algebras can be divided into three and four different classes.关键词
Hom-李代数/幂零性/分类Key words
Hom-Lie algebra/nilpotency/classification分类
数理科学引用本文复制引用
陈雪,韩伟..有限维幂零 Hom-李代数的分类[J].西北师范大学学报（自然科学版）,2016,52(6):6-12,7.基金项目
国家自然科学基金资助项目(11426191) （11426191）
厦门理工学院高层次人才引进项目(YKJ13028R) （YKJ13028R）
