Triple Lie Systems Associated with (−1, 1) Algebras

被引：0

作者：

L. R. Borisova

S. V. Pchelintsev

机构：

[1] Finance University under the Government,

来源：

Russian Mathematics | 2020年 / 64卷

关键词：

central isotope; (−1, 1)-algebra; Lie triple system;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a Lie triple system associated with the central isotope of (− 1, 1)-algebra. The associator ideal of (−1, 1)-algebra is nilpotent if and only if the Lie triple system is nilpotent. The relationship of the constructed Lie triple system with other known Lie triple systems is discussed.

引用

页码：72 / 75

页数：3