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- Lie_group abstract "In mathematics, a Lie group /ˈliː/ is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure. Lie groups are named after Sophus Lie, who laid the foundations of the theory of continuous transformation groups. The term groupes de Lie first appeared in French in 1893 in the thesis of Lie’s student Arthur Tresse, page 3.Lie groups represent the best-developed theory of continuous symmetry of mathematical objects and structures, which makes them indispensable tools for many parts of contemporary mathematics, as well as for modern theoretical physics. They provide a natural framework for analysing the continuous symmetries of differential equations (differential Galois theory), in much the same way as permutation groups are used in Galois theory for analysing the discrete symmetries of algebraic equations. An extension of Galois theory to the case of continuous symmetry groups was one of Lie's principal motivations.".
- Lie_group thumbnail Circle_as_Lie_group.svg?width=300.
- Lie_group wikiPageExternalLink books?isbn=0821802887.
- Lie_group wikiPageExternalLink books?isbn=978-0-387-98963-1.
- Lie_group wikiPageExternalLink 2695575.
- Lie_group wikiPageExternalLink LieGroupsReps.pdf.
- Lie_group wikiPageID "17945".
- Lie_group wikiPageRevisionID "606779000".
- Lie_group hasPhotoCollection Lie_group.
- Lie_group subject Category:Lie_groups.
- Lie_group subject Category:Manifolds.
- Lie_group subject Category:Symmetry.
- Lie_group type Artifact100021939.
- Lie_group type Conduit103089014.
- Lie_group type Manifold103717750.
- Lie_group type Manifolds.
- Lie_group type Object100002684.
- Lie_group type Passage103895293.
- Lie_group type PhysicalEntity100001930.
- Lie_group type Pipe103944672.
- Lie_group type Tube104493505.
- Lie_group type Way104564698.
- Lie_group type Whole100003553.
- Lie_group type YagoGeoEntity.
- Lie_group type YagoPermanentlyLocatedEntity.
- Lie_group comment "In mathematics, a Lie group /ˈliː/ is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure. Lie groups are named after Sophus Lie, who laid the foundations of the theory of continuous transformation groups.".
- Lie_group label "Groupe de Lie".
- Lie_group label "Grupa Liego".
- Lie_group label "Grupo de Lie".
- Lie_group label "Grupo de Lie".
- Lie_group label "Gruppo di Lie".
- Lie_group label "Lie group".
- Lie_group label "Lie-Gruppe".
- Lie_group label "Lie-groep".
- Lie_group label "Группа Ли".
- Lie_group label "زمرة لي".
- Lie_group label "リー群".
- Lie_group label "李群".
- Lie_group sameAs Lieova_grupa.
- Lie_group sameAs Lie-Gruppe.
- Lie_group sameAs Grupo_de_Lie.
- Lie_group sameAs Groupe_de_Lie.
- Lie_group sameAs Gruppo_di_Lie.
- Lie_group sameAs リー群.
- Lie_group sameAs 리_군.
- Lie_group sameAs Lie-groep.
- Lie_group sameAs Grupa_Liego.
- Lie_group sameAs Grupo_de_Lie.
- Lie_group sameAs m.04kb4.
- Lie_group sameAs Q622679.
- Lie_group sameAs Q622679.
- Lie_group sameAs Lie_group.
- Lie_group wasDerivedFrom Lie_group?oldid=606779000.
- Lie_group depiction Circle_as_Lie_group.svg.
- Lie_group isPrimaryTopicOf Lie_group.