Short SL2-structures on simple Lie algebras

被引：0
|
作者：
Stasenko, R. O. [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Moscow, Russia
[2] Moscow Ctr Fundamental & Appl Math, Moscow, Russia
来源：
SBORNIK MATHEMATICS | 2023年 / 214卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
Jordan algebras; structured Lie algebras; graded Lie algebras;
D O I：
10.4213/sm9788e
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In Vinberg's works certain non-Abelian gradings of simple Lie algebras were introduced and investigated, namely, short SO3- and SL3-structures. We investigate a different kind of these, short SL2-structures. The main results refer to the one-to-one correspondence between such structures and certain special Jordan algebras.
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页码：567 / 612
页数：46
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