On the structure of split Leibniz triple systems

Authors
Cao, Yan Chen, Liang Yun
Citation
Cao, Yan et Chen, Liang Yun, On the structure of split Leibniz triple systems, Acta mathematica Sinica. English series (Print) , 31(10), 2015, pp. 1629-1644
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
10
Year of publication
2015
Pages
1629 - 1644
Database
ACNP
SICI code
Abstract
We study the structure of arbitrary split Leibniz triple systems with a coherent 0-root space. By developing techniques of connections of roots for this kind of triple systems, under certain conditions, in the case of T being of maximal length, the simplicity of the Leibniz triple systems is characterized.