三维简单实Bol代数
Three-dimensional simple real Bol algebras
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中文总结 AI 辅助
本文完成三维简单实Bol代数的完整分类，明确了两类非零二元积同构类与四类二元积消失的李三系类，为相关代数研究提供了基础分类结果。
中文摘要 AI 辅助
本文对三维简单实Bol代数$(B, [.,.], \langle.,.,. \rangle )$进行了完整分类，分类的主要部分涉及$[B,B]=B$的情形。此外，确定了两个具有非零二元积的同构类，二者均满足$\dim[B,B]=2$，以及四个二元积消失的简单李三系类。
英文摘要
In this paper, we provide a complete classification of real three-dimensional simple Bol algebras $(B, [.,.], \langle .,.,. \rangle )$. The main part of the classification concerns the case $[B,B]=B$. In addition, we identify two isomorphism classes with a nonzero binary product, both satisfying $\dim[B,B]=2$, as well as four simple classes of Lie triple systems in which the binary product vanishes.
