中文摘要：

研究了李三系的中心扩张和3-上循环的关系,引入了李三系的泛覆盖,并建立了李三系存在泛覆盖的充要条件.

英文摘要：

Relations of central extensions and 3-cocycle of Lie triple system are studied,and the concept of universal covering of a Lie triple system is introduced.Some conditions for the existence of the universal covering is obtained.