论文标题
简单的$ sl_2 $ - 简单谎言中的结构
Short $SL_2$-structures on simple Lie algebras
论文作者
论文摘要
在E.B.的整个论文中Vinberg引入和调查了一些简单的谎言代数的一些非亚伯利亚等级，即$ so_3- $和$ sl_3 $ - 结构。我们研究另一种 - 简短的$ sl_2 $ - 结构。主要结果与此类结构与一些特殊的Jordan代数之间的一对一相对应。
Throughout the papers of E.B. Vinberg some non-abelian gradings of simple Lie algebras were introduced and investigated, namely short $SO_3 -$ and $SL_3$ - structures. We study another kind of them -- short $SL_2$ - structures. The main results relate to one-to-one corresponding between such structures and some special Jordan algebras.
