Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Lie_group> ?p ?o }
- 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 S0002-9904-1959-10358-X.
- Lie_group wikiPageExternalLink jltcover.htm.
- Lie_group wikiPageExternalLink 2695575.
- Lie_group wikiPageExternalLink LieGroupsReps.pdf.
- Lie_group wikiPageID "17945".
- Lie_group wikiPageLength "48760".
- Lie_group wikiPageOutDegree "332".
- Lie_group wikiPageRevisionID "683382295".
- Lie_group wikiPageWikiLink 3-sphere.
- Lie_group wikiPageWikiLink A_fortiori_argument.
- Lie_group wikiPageWikiLink Abelian_Lie_algebra.
- Lie_group wikiPageWikiLink Abelian_group.
- Lie_group wikiPageWikiLink Academic_Press.
- Lie_group wikiPageWikiLink Adele_ring.
- Lie_group wikiPageWikiLink Adjoint_endomorphism.
- Lie_group wikiPageWikiLink Adjoint_representation.
- Lie_group wikiPageWikiLink Adjoint_representation_of_a_Lie_algebra.
- Lie_group wikiPageWikiLink Adjoint_representation_of_a_Lie_group.
- Lie_group wikiPageWikiLink Ados_theorem.
- Lie_group wikiPageWikiLink Affine_transformation.
- Lie_group wikiPageWikiLink Algebraic_equation.
- Lie_group wikiPageWikiLink Algebraic_equations.
- Lie_group wikiPageWikiLink Algebraic_geometry.
- Lie_group wikiPageWikiLink Algebraic_group.
- Lie_group wikiPageWikiLink American_Mathematical_Society.
- Lie_group wikiPageWikiLink Analytic_function.
- Lie_group wikiPageWikiLink Analytic_map.
- Lie_group wikiPageWikiLink Andrew_Gleason.
- Lie_group wikiPageWikiLink Andrew_M._Gleason.
- Lie_group wikiPageWikiLink Antiderivative.
- Lie_group wikiPageWikiLink Armand_Borel.
- Lie_group wikiPageWikiLink Arthur_Tresse.
- Lie_group wikiPageWikiLink August_Ferdinand_Möbius.
- Lie_group wikiPageWikiLink Automorphic_form.
- Lie_group wikiPageWikiLink Baker–Campbell–Hausdorff_formula.
- Lie_group wikiPageWikiLink Banach_space.
- Lie_group wikiPageWikiLink Bernhard_Riemann.
- Lie_group wikiPageWikiLink Bijection.
- Lie_group wikiPageWikiLink Bijective.
- Lie_group wikiPageWikiLink Bilinear_map.
- Lie_group wikiPageWikiLink Bilinear_operator.
- Lie_group wikiPageWikiLink Borel_subgroup.
- Lie_group wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Lie_group wikiPageWikiLink Cambridge_University_Press.
- Lie_group wikiPageWikiLink Carl_Gustav_Jacob_Jacobi.
- Lie_group wikiPageWikiLink Carl_Gustav_Jacobi.
- Lie_group wikiPageWikiLink Category:Lie_groups.
- Lie_group wikiPageWikiLink Category:Manifolds.
- Lie_group wikiPageWikiLink Category:Symmetry.
- Lie_group wikiPageWikiLink Category_(mathematics).
- Lie_group wikiPageWikiLink Category_theory.
- Lie_group wikiPageWikiLink Circle.
- Lie_group wikiPageWikiLink Circle_group.
- Lie_group wikiPageWikiLink Classical_group.
- Lie_group wikiPageWikiLink Classical_mechanics.
- Lie_group wikiPageWikiLink Claude_Chevalley.
- Lie_group wikiPageWikiLink Closed_set.
- Lie_group wikiPageWikiLink Closed_subgroup_theorem.
- Lie_group wikiPageWikiLink Closure_(topology).
- Lie_group wikiPageWikiLink Commutative_diagram.
- Lie_group wikiPageWikiLink Commutator.
- Lie_group wikiPageWikiLink Compact_Lie_group.
- Lie_group wikiPageWikiLink Compact_group.
- Lie_group wikiPageWikiLink Compact_space.
- Lie_group wikiPageWikiLink Complete_metric_space.
- Lie_group wikiPageWikiLink Complex_Lie_group.
- Lie_group wikiPageWikiLink Complex_manifold.
- Lie_group wikiPageWikiLink Conformal_field_theory.
- Lie_group wikiPageWikiLink Conformal_geometry.
- Lie_group wikiPageWikiLink Conformal_group.
- Lie_group wikiPageWikiLink Connected_space.
- Lie_group wikiPageWikiLink Connectedness.
- Lie_group wikiPageWikiLink Continuous_symmetry.
- Lie_group wikiPageWikiLink Convenient_vector_space.
- Lie_group wikiPageWikiLink Covering_group.
- Lie_group wikiPageWikiLink Covering_space.
- Lie_group wikiPageWikiLink David_Hilbert.
- Lie_group wikiPageWikiLink Deane_Montgomery.
- Lie_group wikiPageWikiLink Derivation_(abstract_algebra).
- Lie_group wikiPageWikiLink Derivation_(differential_algebra).
- Lie_group wikiPageWikiLink Derivative_of_the_exponential_map.
- Lie_group wikiPageWikiLink Determinant.
- Lie_group wikiPageWikiLink Diffeomorphic.
- Lie_group wikiPageWikiLink Diffeomorphism.
- Lie_group wikiPageWikiLink Differentiable_manifold.
- Lie_group wikiPageWikiLink Differential_Galois_theory.
- Lie_group wikiPageWikiLink Differential_calculus.
- Lie_group wikiPageWikiLink Differential_equation.
- Lie_group wikiPageWikiLink Differential_equations.
- Lie_group wikiPageWikiLink Differential_structure.
- Lie_group wikiPageWikiLink Direct_sum_of_modules.
- Lie_group wikiPageWikiLink Discrete_group.
- Lie_group wikiPageWikiLink Discrete_space.
- Lie_group wikiPageWikiLink Discrete_topology.
- Lie_group wikiPageWikiLink Donaldson_theory.
- Lie_group wikiPageWikiLink Double_covering_group.