Mathematics – Rings and Algebras
Scientific paper
2006-11-21
J. of Algebra, vol. 302, 2006, p. 887-896
Mathematics
Rings and Algebras
11 pages
Scientific paper
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.
Omirov B. A.
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