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dc.contributor.authorSchneider, Eivind
dc.date.accessioned2019-01-31T09:21:47Z
dc.date.available2019-01-31T09:21:47Z
dc.date.issued2018-06-15
dc.description.abstractStarting 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.sponsorshipThe Research Council of Norway’s mobility granten_US
dc.descriptionAccepted 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.citationSchneider, 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.2018.05.025en_US
dc.identifier.cristinIDFRIDAID 1628381
dc.identifier.doi10.1016/j.geomphys.2018.05.025
dc.identifier.issn0393-0440
dc.identifier.issn1879-1662
dc.identifier.urihttps://hdl.handle.net/10037/14569
dc.language.isoengen_US
dc.publisherElsevieren_US
dc.relation.ispartofSchneider, 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.journalJournal of Geometry and Physics
dc.relation.projectIDThe Research Council of Norway: ?en_US
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Algebra/algebraic analysis: 414en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414en_US
dc.subjectLie algebras of vector fieldsen_US
dc.subjectTransformation groupsen_US
dc.subjectLie algebra cohomologyen_US
dc.titleProjectable Lie algebras of vector fields in 3Den_US
dc.typeJournal articleen_US
dc.typeTidsskriftartikkelen_US
dc.typePeer revieweden_US


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