论文标题

当Hom-Lie结构形成Jordan代数时

When Hom-Lie structures form a Jordan algebra

论文作者

Zusmanovich, Pasha

论文摘要

我们关心的是何时在约旦产品上关闭Lie代数上的Hom-Lie结构时。出乎意料的是,这导致我们提出了与Yang-Baxter方程相关的某些问题,并将lie代数分解为具有给定特性的子代数的总和。

We are concerned with the question when Hom-Lie structures on a Lie algebra are closed with respect to the Jordan product. Somewhat unexpectedly, this leads us to certain questions connected with the Yang-Baxter equation, and with decomposition of a Lie algebra into the sum of subalgebras with given properties.

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