On the Structure of Split Leibniz Triple Systems  

作　　者：Yan CAO Liang Yun CHEN 

机构地区：[1]School of Mathematics and Statistics, Northeast Normal University [2]Department of Basic Education, Harbin University of Science and Technology,Rongcheng Campus

出　　处：《Acta Mathematica Sinica,English Series》2015年第10期1629-1644,共16页数学学报（英文版）

基　　金：Supported by Scientific Research Fund of Heilongjiang Provincial Education Department(Grant No.12541184)

摘　　要：We study the structure of arbitrary split Leibniz triple systems with a coherent O-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.We study the structure of arbitrary split Leibniz triple systems with a coherent O-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.

关 键 词：Split Leibniz triple system Lie triple system Leibniz algebra system of roots root space 

分 类 号：O175[理学—数学]