Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4587851 | Journal of Algebra | 2008 | 11 Pages |
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.
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Mathematics
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