Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589376 | Journal of Algebra | 2006 | 10 Pages |
Abstract
In the present work the properties of Cartan subalgebras and their connection with regular elements in finite-dimensional Lie algebras are extended to the case of Leibniz algebras. It is shown that Cartan subalgebras and regular elements of a Leibniz algebra correspond to Cartan subalgebras and regular elements of a Lie algebra by a natural homomorphism. Conjugacy of Cartan subalgebras of Leibniz algebras is shown.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory