Abstract
The present article is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz n-algebras. The relationship between Cartan subalgebras and regular elements of given Leibniz n-algebra and Cartan subalgebras and regular elements of the corresponding factor n-Lie algebra is established.
ACKNOWLEDGMENTS
The second and third named authors would like to acknowledge the hospitality of the “Institut für Angewandte Mathematik,” Universität Bonn, Germany. This work is supported in part by the DFG 436 USB 113/10/0-1 project (Germany) and the Fundamental Research Foundation of the Uzbekistan Academy of Sciences. The authors are indebted to the reviewer for very useful remarks and comments.
Notes
Communicated by A. Elduque.