Projectable Lie algebras of vector fields in 3D

被引：5

作者：

Schneider, Eivind ^{[1
]}

机构：

[1] UiT Arctic Univ Norway, Dept Math & Stat, Tromso, Norway

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 132卷

关键词：

Lie algebras of vector fields; Transformation groups; Lie algebra cohomology;

D O I：

10.1016/j.geomphys.2018.05.025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting with Lie's classification of finite-dimensional transitive Lie algebras of vector fields on C-2 we construct transitive Lie algebras of vector fields on the bundle C-2 x C by lifting the Lie algebras from the base. There are essentially three types of transitive lifts and we compute all of them for the Lie algebras from Lie's classification. The simplest type of lift is encoded by Lie algebra cohomology. (C) 2018 Elsevier B.V. All rights reserved.

引用

页码：222 / 229

页数：8

共 15 条

[1]

ACKERMAN M, 1975, S LIES 1880 TRANSFOR

[2]

[Anonymous], GIORNALE MAT BATTAGL

[3]

[Anonymous], GIORNALE MAT BATTAGL

[4]

CAMPBELL JE, 1903, INTRO TREATISE LIES