Projectable Lie algebras of vector fields in 3D

[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.

[发布日期] 2018-10-01

[效力级别]  Proceedings Paper

[关键词] Lie algebras of vector fields;Transformation groups;Lie algebra cohomology