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On the structure of split Leibniz triple systems |
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| Authors: | Yan Cao Liang Yun Chen |
| Institution: | 1. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China; 2. Department of Basic Education, Harbin University of Science and Technology, Rongcheng Campus, Rongcheng 264300, P. R. China; 3. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China |
| 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. |
| Keywords: | Split Leibniz triple system Lie triple system Leibniz algebra system of roots root space |
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