Article ID Journal Published Year Pages File Type
4589376 Journal of Algebra 2006 10 Pages PDF
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