四川大学学报（自然科学版）2012，Vol.49Issue(2)：285-290,6.DOI:10.3969/j.issn.0490-6756.2012.02.006
李代数平凡扩张的自同构群和导子李代数
On groups of automorphisms and derivation Lie algebras of trivial extensions of Lie algebras
摘要
Abstract
For the trivial extension θ∞ V of a Lie algebra g by a g -module V, the authors construct a subgroup (resp. A subalgebra) via semidirect products of the group of automorphisms of B θ∞ V (resp. The derivation Lie algebra). As an application to simple Lie algebras and their finite-dimensional modules, the corresponding groups of automorphisms and derivations are determined.关键词
半直积/自同构群/导子李代数Key words
semidirect products, automorphism groups, derivation Lie algebras分类
数理科学引用本文复制引用
陈定均,谭友军..李代数平凡扩张的自同构群和导子李代数[J].四川大学学报（自然科学版）,2012,49(2):285-290,6.
