On nilpotent generators of the symplectic Lie algebra

被引：0

作者：

Chistopolskaya, Alisa ^{[1
]}

机构：

[1] Higher Sch Econ, Fac Comp Sci, Kochnovsky Proezd 3, Moscow 125319, Russia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

Lie algebra; generators; nilpotent; root decomposition; symplectomorphism;

D O I：

10.1080/03081087.2020.1734522

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be the symplectic Lie algebra over an algebraically closed field of characteristic zero. We prove that for any nonzero nilpotent element X in there exists a nilpotent element Y in such that X and Y generate (K).

引用

页码：490 / 496

页数：7

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