Local and 2-local automorphisms of simple generalized Witt algebras

被引：5

作者：

Chen, Yang ^{[1
]}

Zhao, Kaiming ^{[2
,3
]}

Zhao, Yueqiang ^{[4
]}

机构：

[1] Hebei Normal Univ, Math Postdoctoral Res Ctr, CN-050016 Shijiazhuang, Hebei, Peoples R China

[2] Wilfrid Laurier Univ, Dept Math, Waterloo, ON N2L 3C5, Canada

[3] Hebei Normal Univ, Sch Math Sci, CN-050016 Shijiazhuang, Hebei, Peoples R China

[4] Xinyang Normal Univ, Sch Math & Stat, CN-464000 Xinyang, Henan, Peoples R China

来源：

ARKIV FOR MATEMATIK | 2021年 / 59卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Lie algebra; generalized Witt algebra; automorphism; local automorphism; 2-local automorphism; MODULES;

D O I：

10.4310/ARKIV.2021.v59.n1.a1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that every invertible 2-local or local automorphism of a simple generalized Witt algebra over any field of characteristic 0 is an automorphism. Furthermore, every 2-local or local automorphism of Witt algebras Wn is an automorphism for all n.N. But some simple generalized Witt algebras indeed have 2-local (and local) automorphisms that are not automorphisms.

引用

页码：1 / 10

页数：10

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