Conjugacy of Cartan subalgebras of complex finite dimensional Leibniz algebras
By Bakhrom Omirov. 2006
69 citations recorded by the source corpus.
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.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9a57296ccd1dd6e861ca7c8ab0c329917639f9e9
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In Algebra and Number Theory
In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Some Theorems on Leibniz Algebras (2011, methodology): “The definition used in the literature (Omirov [7] for example) imposes the stronger requirement that r L C = C.”