Preprint

Conjugacy of Cartan subalgebras of complex finite dimensional Leibniz algebras

B. A. OmirovInstitute of Mathematics, Uzbekistan Academy of Sciences, F. Hodjaev str. 29, 700143 Tashkent, Uzbekistan

arXiv (Cornell University)repository2006en

ABI

Annotatsiya

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.

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Mavzular

Advanced Topics in Algebra Nonlinear Waves and Solitons Advanced Differential Equations and Dynamical Systems

Identifikatorlar

DOI: 10.48550/arxiv.math/0611642

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