李三系的中心扩张

Central Extension of Lie Triple Systems

李三系是从黎曼对称空间产生的三元运算的代数系统,近年来备受数学家们的重视.对李三系的中心扩张问题进行了研究,提出了Heisenberg李三系的概念,并对任意线性空间给出了构造Heisenberg李三系的一种方法.

Lie triple system is an algebraic system with a ternary composition abstracted from Rienannian symmetric space and is paid to close attention by mathematicians.This paper mainly studies the central extension of Lie triple system, and proposes the concept of Heisenberg Lie triple system. For every vector space, the authors give a method to construct Heisenberg Lie triple system.