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- Lies_third_theorem abstract "In mathematics, Lie's third theorem states that every finite-dimensional Lie algebra g over the real numbers is associated to a Lie group G.Historically, the third theorem referred to a different but related result. The two preceding theorems of Sophus Lie, restated in modern language, relate to the infinitesimal transformations of a transformation group acting on a smooth manifold. The third theorem on the list stated the Jacobi identity for the infinitesimal transformations of a local Lie group. Conversely, in the presence of a Lie algebra of vector fields, integration gives a local Lie group action. The result now known as the third theorem provides an intrinsic and global converse to the original theorem.".
- Lies_third_theorem wikiPageExternalLink l058760.htm.
- Lies_third_theorem wikiPageID "10875756".
- Lies_third_theorem wikiPageLength "1042".
- Lies_third_theorem wikiPageOutDegree "12".
- Lies_third_theorem wikiPageRevisionID "617127420".
- Lies_third_theorem wikiPageWikiLink Category:Lie_algebras.
- Lies_third_theorem wikiPageWikiLink Category:Lie_groups.
- Lies_third_theorem wikiPageWikiLink Category:Theorems_in_abstract_algebra.
- Lies_third_theorem wikiPageWikiLink Differentiable_manifold.
- Lies_third_theorem wikiPageWikiLink Group_action.
- Lies_third_theorem wikiPageWikiLink Infinitesimal_transformation.
- Lies_third_theorem wikiPageWikiLink Jacobi_identity.
- Lies_third_theorem wikiPageWikiLink Lie_algebra.
- Lies_third_theorem wikiPageWikiLink Lie_group.
- Lies_third_theorem wikiPageWikiLink Mathematics.
- Lies_third_theorem wikiPageWikiLink Pseudogroup.
- Lies_third_theorem wikiPageWikiLink Sophus_Lie.
- Lies_third_theorem wikiPageWikiLinkText "Lie's third theorem".
- Lies_third_theorem wikiPageUsesTemplate Template:Context.
- Lies_third_theorem wikiPageUsesTemplate Template:Unref.
- Lies_third_theorem subject Category:Lie_algebras.
- Lies_third_theorem subject Category:Lie_groups.
- Lies_third_theorem subject Category:Theorems_in_abstract_algebra.
- Lies_third_theorem type Algebra.
- Lies_third_theorem type Page.
- Lies_third_theorem type Theorem.
- Lies_third_theorem comment "In mathematics, Lie's third theorem states that every finite-dimensional Lie algebra g over the real numbers is associated to a Lie group G.Historically, the third theorem referred to a different but related result. The two preceding theorems of Sophus Lie, restated in modern language, relate to the infinitesimal transformations of a transformation group acting on a smooth manifold.".
- Lies_third_theorem label "Lie's third theorem".
- Lies_third_theorem sameAs Q15080987.
- Lies_third_theorem sameAs Lie’sche_Sätze.
- Lies_third_theorem sameAs m.02qssm4.
- Lies_third_theorem sameAs Lies_tredje_sats.
- Lies_third_theorem sameAs Lie_üçüncü_teoremi.
- Lies_third_theorem sameAs Q15080987.
- Lies_third_theorem wasDerivedFrom Lies_third_theorem?oldid=617127420.
- Lies_third_theorem isPrimaryTopicOf Lies_third_theorem.