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- Lie's_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.".
- Lie's_third_theorem wikiPageExternalLink l058760.htm.
- Lie's_third_theorem wikiPageID "10875756".
- Lie's_third_theorem wikiPageRevisionID "562618352".
- Lie's_third_theorem hasPhotoCollection Lie's_third_theorem.
- Lie's_third_theorem subject Category:Lie_algebras.
- Lie's_third_theorem subject Category:Lie_groups.
- Lie's_third_theorem subject Category:Theorems_in_abstract_algebra.
- Lie's_third_theorem type Abstraction100002137.
- Lie's_third_theorem type Algebra106012726.
- Lie's_third_theorem type Cognition100023271.
- Lie's_third_theorem type Communication100033020.
- Lie's_third_theorem type Content105809192.
- Lie's_third_theorem type Discipline105996646.
- Lie's_third_theorem type Group100031264.
- Lie's_third_theorem type KnowledgeDomain105999266.
- Lie's_third_theorem type LieAlgebras.
- Lie's_third_theorem type LieGroups.
- Lie's_third_theorem type Mathematics106000644.
- Lie's_third_theorem type Message106598915.
- Lie's_third_theorem type Proposition106750804.
- Lie's_third_theorem type PsychologicalFeature100023100.
- Lie's_third_theorem type PureMathematics106003682.
- Lie's_third_theorem type Science105999797.
- Lie's_third_theorem type Statement106722453.
- Lie's_third_theorem type Theorem106752293.
- Lie's_third_theorem type TheoremsInAbstractAlgebra.
- Lie's_third_theorem type TheoremsInAlgebra.
- Lie's_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.".
- Lie's_third_theorem label "Lie's third theorem".
- Lie's_third_theorem label "Lie’sche Sätze".
- Lie's_third_theorem sameAs Lie’sche_Sätze.
- Lie's_third_theorem sameAs m.02qssm4.
- Lie's_third_theorem sameAs Q15080987.
- Lie's_third_theorem sameAs Q15080987.
- Lie's_third_theorem sameAs Lie's_third_theorem.
- Lie's_third_theorem wasDerivedFrom Lie's_third_theorem?oldid=562618352.
- Lie's_third_theorem isPrimaryTopicOf Lie's_third_theorem.