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.

引用

页码：567 / 612

页数：46

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