Projectable Lie algebras of vector fields in 3D

Schneider, Eivind

dc.contributor.author	Schneider, Eivind
dc.date.accessioned	2019-01-31T09:21:47Z
dc.date.available	2019-01-31T09:21:47Z
dc.date.issued	2018-06-15
dc.description.abstract	Starting with Lie’s classification of finite-dimensional transitive Lie algebras of vector fields on <b>C<sup>2</sup></b> we construct transitive Lie algebras of vector fields on the bundle <b>C<sup>2</sup> x C</b> 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.	en_US
dc.description.sponsorship	The Research Council of Norway’s mobility grant	en_US
dc.description	Accepted manuscript version, licensed <a href=http://creativecommons.org/licenses/by-nc-nd/4.0/> CC BY-NC-ND 4.0.</a> Published version available at <a href=https://doi.org//10.1016/j.geomphys.2018.05.025> https://doi.org//10.1016/j.geomphys.2018.05.025</a>.	en_US
dc.identifier.citation	Schneider, E. (2018). Projectable Lie algebras of vector fields in 3D. <i>Journal of Geometry and Physics</i>, 132, 222-229. https://doi.org//10.1016/j.geomphys.2018.05.025	en_US
dc.identifier.cristinID	FRIDAID 1628381
dc.identifier.doi	10.1016/j.geomphys.2018.05.025
dc.identifier.issn	0393-0440
dc.identifier.issn	1879-1662
dc.identifier.uri	https://hdl.handle.net/10037/14569
dc.language.iso	eng	en_US
dc.publisher	Elsevier	en_US
dc.relation.ispartof	Schneider, E. (2019). Differential invariants of Lie pseudogroups. (Doctoral thesis). <a href=https://hdl.handle.net/10037/15600>https://hdl.handle.net/10037/15600</a>.
dc.relation.journal	Journal of Geometry and Physics
dc.relation.projectID	The Research Council of Norway: ?	en_US
dc.rights.accessRights	openAccess	en_US
dc.subject	VDP::Mathematics and natural science: 400::Mathematics: 410::Algebra/algebraic analysis: 414	en_US
dc.subject	VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414	en_US
dc.subject	Lie algebras of vector fields	en_US
dc.subject	Transformation groups	en_US
dc.subject	Lie algebra cohomology	en_US
dc.title	Projectable Lie algebras of vector fields in 3D	en_US
dc.type	Journal article	en_US
dc.type	Tidsskriftartikkel	en_US
dc.type	Peer reviewed	en_US