About: Compact group

An Entity of Type: Thing, from Named Graph: http://dbpedia.org, within Data Space: dbpedia.org

Topological group with compact topology

Property	Value
dbo:description	Fachbegriff der Mathematik (de) gruppo topologico con topologia compatta (it) topological group with compact topology (en) groupe topologique dont l'espace topologique sous-jacent est compact (fr)
dbo:thumbnail	wiki-commons:Special:FilePath/Circle_as_Lie_group.svg?width=300
dbo:wikiPageWikiLink	dbr:Root_system dbr:Semisimple_Lie_algebra dbr:Weight_(representation_theory) dbr:File:A2example.pdf dbr:File:Circle_as_Lie_group.svg dbr:File:Meson_octet.png dbr:File:Weights_for_A2_root_system.png dbr:Adolf_Hurwitz dbr:Representation_theory_of_SU(2) dbr:Representation_of_a_Lie_group dbr:Harish-Chandra dbc:Fourier_analysis dbr:Galois_group dbr:Lie_algebra_representation dbr:Profinite_group dbr:E6_(mathematics) dbr:Topological_group dbr:Number_theory dbr:Topology dbr:Homomorphism dbr:F4_(mathematics) dbr:G2_(mathematics) dbr:Discrete_group dbr:Finite_group dbr:Haar_measure dbr:Unimodular_group dbr:Inverse_system dbr:Classification_theorem dbr:Covering_group dbr:Maximal_compact_subgroup dbr:Hermann_Weyl dbr:Symplectic_group dbr:Mathematics dbc:Lie_groups dbr:P-adic_integer dbr:Connected_space dbr:Unitary_group dbr:E8_(mathematics) dbr:Faithful_representation dbr:Algebraic_extension dbr:Lie_group dbr:Lie_group–Lie_algebra_correspondence dbr:Inverse_limit dbr:Schur's_lemma dbr:Protorus dbr:Representation_theory dbr:Character_theory dbr:Discrete_topology dbr:Maximal_torus dbr:Semisimple_Lie_group dbr:Simple_Lie_group dbr:Probability_measure dbr:Manifold dbc:Topological_groups dbr:Fundamental_group dbr:Peter–Weyl_theorem dbr:E7_(mathematics) dbr:Group_extension dbr:Unitarian_trick dbr:Weyl_character_formula dbr:Differential_form dbr:Pontryagin_duality dbr:P-compact_group dbr:Dynkin_diagram dbr:Weyl_group dbr:Quotient_group dbr:Locally_compact_group dbr:Unitary_representation dbr:Compact_space dbr:Hausdorff_space dbr:Clebsch–Gordan_coefficients_for_SU(3) dbr:Special_unitary_group dbr:Spin_group dbr:Orthogonal_group dbr:Special_orthogonal_group dbr:Tannaka–Krein_duality dbr:Identity_component dbr:Verma_module dbr:Closed-subgroup_theorem dbr:Group_action_(mathematics) dbr:Tannakian_category dbr:Circle_group dbr:Exceptional_Lie_group dbr:Finite_index dbr:Complex_representations_of_finite_groups dbr:Restriction_of_a_representation dbr:Positive_reals dbr:Torus_group
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Main dbt:Reflist dbt:See_also dbt:Citation dbt:About dbt:Short_description
dct:subject	dbc:Fourier_analysis dbc:Lie_groups dbc:Topological_groups
gold:hypernym	dbr:Group
rdfs:label	Compact group (en) Grup compacte (ca) Kompakte Gruppe (de) Groupe compact (fr) コンパクト群 (ja) Compacte groep (nl) Grupo compacto (pt) 緊群 (zh)
rdfs:seeAlso	dbr:Lie_algebra_representation dbr:Maximal_torus dbr:Fundamental_group dbr:Peter–Weyl_theorem
owl:sameAs	yago-res:Compact group freebase:Compact group wikidata:Compact group dbpedia-nl:Compact group dbpedia-de:Compact group dbpedia-fr:Compact group dbpedia-zh:Compact group dbpedia-ja:Compact group dbpedia-pt:Compact group dbpedia-ca:Compact group dbpedia-global:Compact group
prov:wasDerivedFrom	wikipedia-en:Compact_group?oldid=1259181859&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Circle_as_Lie_group.svg wiki-commons:Special:FilePath/Weights_for_A2_root_system.png wiki-commons:Special:FilePath/Meson_octet.png
foaf:isPrimaryTopicOf	wikipedia-en:Compact_group
is dbo:wikiPageRedirects of	dbr:Compact_Lie_group dbr:Compact_topological_group dbr:Representation_of_a_compact_Lie_group dbr:Representation_theory_of_a_connected_compact_Lie_group
is dbo:wikiPageWikiLink of	dbr:Representation_theory_of_finite_groups dbr:Non-abelian_gauge_transformation dbr:Noncommutative_harmonic_analysis dbr:Invariant_convex_cone dbr:Root_system dbr:Semisimple_Lie_algebra dbr:Weight_(representation_theory) dbr:Cantor_set dbr:Élie_Cartan dbr:Representation_theory_of_SU(2) dbr:Charles_Loewner dbr:Representation_of_a_Lie_group dbr:Möbius_transformation dbr:Lie_algebra_representation dbr:Octonion dbr:Profinite_group dbr:Class_function dbr:Group_representation dbr:List_of_group_theory_topics dbr:Topological_group dbr:Kazimierz_Urbanik dbr:Tadao_Tannaka dbr:Paravector dbr:Group_(mathematics) dbr:Harald_Niederreiter dbr:Lattice_gauge_theory dbr:Discrete_group dbr:Non-linear_sigma_model dbr:Hopf_algebra dbr:Haar_measure dbr:Quantum_group dbr:Frobenius–Schur_indicator dbr:G2-structure dbr:Haagerup_property dbr:Hamiltonian_lattice_gauge_theory dbr:K-finite dbr:Hermann_Weyl dbr:Spin_network dbr:Symplectic_group dbr:Duality_(mathematics) dbr:Irrational_rotation dbr:Lie_group dbr:Jacqueline_Ferrand dbr:Cartan–Karlhede_algorithm dbr:Principal_series_representation dbr:Projective_representation dbr:Spin_(physics) dbr:Representation_theory dbr:Adelic_algebraic_group dbr:Maximal_torus dbr:John_von_Neumann dbr:Hilbert_space dbr:Michael_Atiyah dbr:Peter–Weyl_theorem dbr:Invariant_polynomial dbr:Pseudo_algebraically_closed_field dbr:Representation_theory_of_semisimple_Lie_algebras dbr:Unitarian_trick dbr:Fourier_series dbr:Hilbert's_fifth_problem dbr:Weyl_character_formula dbr:Pontryagin_duality dbr:Compact_Lie_group dbr:Burnside_ring dbr:Lorentz_invariance_in_loop_quantum_gravity dbr:Mostow–Palais_theorem dbr:Schur_orthogonality_relations dbr:Symplectic_representation dbr:Locally_compact_group dbr:Ergodic_theory dbr:3-j_symbol dbr:Dual_representation dbr:Fundamental_representation dbr:Harish-Chandra_character dbr:Kirillov_character_formula dbr:Kähler_quotient dbr:List_of_Fourier_analysis_topics dbr:Orbit_method dbr:Orbital_integral dbr:Splitting_lemma_(functions) dbr:Unitary_representation dbr:Compact_space dbr:Elitzur's_theorem dbr:Haag–Łopuszański–Sohnius_theorem dbr:Orthogonal_group dbr:Matrix_coefficient dbr:Cantor_cube dbr:Griffiths_inequality dbr:Period_domain dbr:Tannaka–Krein_duality dbr:Tannakian_formalism dbr:Atiyah–Segal_completion_theorem dbr:Real_representation dbr:Category_of_representations dbr:Antony_Wassermann dbr:Theorem_of_the_highest_weight dbr:Commuting_probability dbr:Quaternionic_representation dbr:Representation_theory_of_the_Poincaré_group dbr:Restricted_product dbr:Restricted_representation dbr:Semi-simplicity dbr:Kazhdan's_property_(T) dbr:Gan–Gross–Prasad_conjecture dbr:Lie_group_decomposition dbr:M-theory_(learning_framework) dbr:Semitopological_group dbr:Compact_topological_group dbr:Representation_of_a_compact_Lie_group dbr:Representation_theory_of_a_connected_compact_Lie_group
is rdfs:seeAlso of	dbr:Lie_group dbr:Eightfold_way_(physics) dbr:Simple_Lie_group dbr:Representation_theory_of_semisimple_Lie_algebras dbr:Theorem_of_the_highest_weight
is foaf:primaryTopic of	wikipedia-en:Compact_group