English
norskProjectable Lie algebras of vector fields in 3D
Permanent link
https://hdl.handle.net/10037/14569
Date
2018-06-15Type
Journal articleTidsskriftartikkel
Peer reviewed
Abstract
Starting with Lie’s classification of finite-dimensional transitive Lie algebras of vector fields on C2 we construct transitive Lie algebras of vector fields on the bundle C2 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.
Description
Accepted manuscript version, licensed CC BY-NC-ND 4.0. Published version available at https://doi.org//10.1016/j.geomphys.2018.05.025.
Is part of
Schneider, E. (2019). Differential invariants of Lie pseudogroups. (Doctoral thesis). https://hdl.handle.net/10037/15600.Publisher
ElsevierCitation
Schneider, E. (2018). Projectable Lie algebras of vector fields in 3D. Journal of Geometry and Physics, 132, 222-229. https://doi.org//10.1016/j.geomphys.2018.05.025Metadata
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