Article ID Journal Published Year Pages File Type
4587851 Journal of Algebra 2008 11 Pages PDF
Abstract

Hom-Lie algebras can be considered as a deformation of Lie algebras. In this note, we prove that the hom-Lie algebra structures on finite-dimensional simple Lie algebras are trivial. We find when a finite-dimensional semi-simple Lie algebra admits non-trivial hom-Lie algebra structures and the isomorphic classes of non-trivial hom-Lie algebras are determined.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory