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;
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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.
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页码：72 / 75
页数：3
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