About: Universal enveloping algebra

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

Hopf algebra associated to a Lie algebra

Property	Value
dbo:description	Hopf algebra associated to a Lie algebra (en) Hopf-alĝebro asociita al Lie-alĝebro (eo) algebră Hopf asociată cu o algebră Lie (ro) une algèbre de Hopf associée à une algèbre de Lie (fr) álgebra de Hopf associada a una àlgebra de Lie (ca)
dbo:wikiPageExternalLink	http://www.math.harvard.edu/~shlomo/docs/lie_algebras.pdf https://semanticscholar.org/paper/0404354b01ca3c30c3552af03320930e08d19f10 http://www.ams.org/bookstore%3Ffn=20&arg1=tb-aa&ikey=GSM-131%20 https://books.google.com/books%3Fisbn=0821805606
dbo:wikiPageWikiLink	dbr:Killing_form dbr:Bilinear_form dbc:Hopf_algebras dbr:Poisson_algebra dbr:Root_system dbr:Semisimple_Lie_algebra dbc:Ring_theory dbr:Coalgebra dbr:Direct_sum dbr:Casimir_element dbr:Symmetric_algebra dbr:Weyl_algebra dbr:Tensor_algebra dbr:String_theory dbr:Vector_space dbr:Vector_field dbr:Riemannian_manifold dbr:Abelian_category dbr:Group_(mathematics) dbr:Homomorphism dbr:Quotient_space_(linear_algebra) dbr:Differential_operator dbr:Stress–energy_tensor dbr:Hopf_algebra dbr:Tensor_product dbr:Quantum_group dbr:Poincaré–Birkhoff–Witt_theorem dbr:Group_ring dbr:Fredholm_theory dbr:Covering_space dbr:Jordan_algebra dbr:Symmetric_polynomial dbr:Universal_property dbr:Jacobi_identity dbr:Mathematics dbr:Convolution dbr:Free_Lie_algebra dbr:Free_algebra dbr:Free_object dbr:Bol_loop dbr:Isomorphism_of_categories dbr:Lie_group dbr:Coleman–Mandula_theorem dbr:Limit_(category_theory) dbr:Short_exact_sequence dbr:Skew-symmetric_bilinear_form dbr:Angular_momentum_operator dbr:Kernel_(linear_algebra) dbr:Malcev_algebra dbr:Gerstenhaber_algebra dbr:Representation_theory dbr:Product_rule dbr:Exterior_algebra dbr:Algebra_homomorphism dbr:Module_(mathematics) dbr:C*-algebra dbr:Determinant dbr:Equivalence_relation dbr:Elliptic_operator dbr:Basis_(linear_algebra) dbr:Identity_element dbr:Partial_derivative dbr:Shuffle_product dbr:Polynomial dbr:Two-sided_ideal dbr:Associative_algebra dbr:American_Mathematical_Society dbr:Lie_algebra dbr:Lie_bracket dbr:Lyndon_word dbr:Poisson_superalgebra dbr:Differential_algebra dbr:Indefinite_orthogonal_group dbr:Homogeneous_polynomial dbr:Coset dbr:Baker–Campbell–Hausdorff_formula dbr:Adjoint_representation dbr:Adjoint_representation_of_a_Lie_algebra dbc:Representation_theory_of_Lie_algebras dbr:Characteristic_polynomial dbr:Heisenberg_group dbr:Harish-Chandra_isomorphism dbr:Structure_constants dbr:Distribution_(mathematics) dbr:Pseudo-Riemannian_manifold dbr:Lie_superalgebra dbr:Support_(mathematics) dbr:Gelfand–Naimark_theorem dbr:Filtered_algebra dbr:Harish-Chandra_homomorphism dbr:Moyal_product dbr:Infinitesimal_transformation dbr:Shlomo_Sternberg dbr:Natural_transformation dbr:Linear_combination dbr:Indicator_function dbr:Pseudo-differential_operator dbr:Alternative_algebra dbr:Algebra_representation dbr:Chevalley_basis dbr:Tannaka–Krein_duality dbr:Filtration_(mathematics) dbr:Isometry_group dbr:Coordinate-free dbr:Kronecker_coefficient dbr:Graduate_Studies_in_Mathematics dbr:Quadratic_algebra dbr:Rotation_group_SO(3) dbr:Exterior_product dbr:Verma_module dbr:Albert_algebra dbr:Milnor–Moore_theorem dbr:Hall_word dbr:Israel_Gel'fand dbr:Plug_and_chug dbr:Unital_algebra dbr:Heisenberg_algebra dbr:Homogenous_polynomial dbr:C-star_algebra dbr:Free_associative_algebra dbr:Free_vector_space dbr:6j-symbol dbr:9j-symbol dbr:Yang-Mills_action dbr:Derivation_(abstract_algebra) dbr:Highest_weight dbr:Special_Jordan_algebra dbr:Dual_vector_space dbr:Unital_associative_algebra dbr:Center_of_an_algebra dbr:Compact_topological_group dbr:Completely_antisymmetric_tensor dbr:Laplacian dbr:Associated_graded_algebra dbr:Casimir_invariant dbr:Casimir_operator dbr:Non-commutative_geometry dbr:Quantum_deformation dbr:Quasi-triangular_Hopf_algebra dbr:Representation_of_a_Lie_algebra dbr:SL(2,C) dbr:SO(N) dbr:Totally_ordered dbr:Vector_basis
dbp:id	universal+enveloping+algebra (en)
dbp:title	Universal enveloping algebra (en)
dbp:wikiPageUsesTemplate	dbt:Nlab dbt:Reflist dbt:Math dbt:See_also dbt:For dbt:Citation dbt:Citation_needed dbt:Main_article dbt:Short_description
dct:subject	dbc:Hopf_algebras dbc:Ring_theory dbc:Representation_theory_of_Lie_algebras
rdf:type	owl:Thing
rdfs:label	Universal enveloping algebra (en) Universelle einhüllende Algebra (de) Universala envelopa alĝebro (eo) Algèbre enveloppante (fr) 普遍包絡代数 (ja) 보편 포락 대수 (ko) Álgebra envelopante (pt) Универсальная обёртывающая алгебра (ru) Universell envelopperande algebra (sv) Універсальна обгортуюча алгебра (uk) 泛包絡代數 (zh)
rdfs:seeAlso	dbr:Harish-Chandra_isomorphism
owl:sameAs	freebase:Universal enveloping algebra yago-res:Universal enveloping algebra wikidata:Universal enveloping algebra dbpedia-de:Universal enveloping algebra dbpedia-fr:Universal enveloping algebra dbpedia-zh:Universal enveloping algebra dbpedia-ja:Universal enveloping algebra dbpedia-pt:Universal enveloping algebra dbpedia-ru:Universal enveloping algebra dbpedia-sv:Universal enveloping algebra dbpedia-ko:Universal enveloping algebra dbpedia-eo:Universal enveloping algebra dbpedia-ka:Universal enveloping algebra dbpedia-uk:Universal enveloping algebra dbpedia-global:Universal enveloping algebra
prov:wasDerivedFrom	wikipedia-en:Universal_enveloping_algebra?oldid=1274810377&ns=0
foaf:isPrimaryTopicOf	wikipedia-en:Universal_enveloping_algebra
is dbo:knownFor of	dbr:Felix_Berezin
is dbo:wikiPageDisambiguates of	dbr:UEA dbr:Enveloping_algebra
is dbo:wikiPageRedirects of	dbr:Berezin_formula dbr:Algebra_of_symbols
is dbo:wikiPageWikiLink of	dbr:Poisson_algebra dbr:Associated_graded_ring dbr:Manin_matrix dbr:Noncommutative_symmetric_function dbr:Representation_theory_of_SU(2) dbr:Coalgebra dbr:Lie_algebra_representation dbr:Non-associative_algebra dbr:Tor_functor dbr:Casimir_element dbr:List_of_representation_theory_topics dbr:Poisson_bracket dbr:Symmetric_algebra dbr:Weyl_algebra dbr:Tensor_algebra dbr:Supergroup_(physics) dbr:W-algebra dbr:UEA dbr:Derived_functor dbr:Hopf_algebra dbr:Tensor_product dbr:Quantum_group dbr:Poincaré–Birkhoff–Witt_theorem dbr:Forgetful_functor dbr:Capelli's_identity dbr:Formal_group_law dbr:Frobenius–Schur_indicator dbr:Malcev_Lie_algebra dbr:Yangian dbr:Domain_(ring_theory) dbr:Superalgebra dbr:Enveloping_algebra dbr:Enveloping_von_Neumann_algebra dbr:Free_Lie_algebra dbr:Cyclotomic_identity dbr:Infinitesimal_character dbr:Group_of_Lie_type dbr:Lie_group–Lie_algebra_correspondence dbr:Schur's_lemma dbr:Category_O dbr:Representation_theory dbr:Shuffle_algebra dbr:Lie_algebra_cohomology dbr:Primitive_element_(co-algebra) dbr:Michèle_Vergne dbr:Module_(mathematics) dbr:Edward_Frenkel dbr:Graded_Lie_algebra dbr:Associative_algebra dbr:Ring_theory dbr:Lie_algebra dbr:Ext_functor dbr:Standard_basis dbr:Lyndon_word dbr:Glossary_of_ring_theory dbr:Littelmann_path_model dbr:Differential_algebra dbr:Translation_functor dbr:Baker–Campbell–Hausdorff_formula dbr:Heisenberg_group dbr:Harish-Chandra_isomorphism dbr:Butcher_group dbr:Dixmier_mapping dbr:C-symmetry dbr:Felix_Berezin dbr:Automorphic_form dbr:Lie_superalgebra dbr:Filtered_algebra dbr:Harish-Chandra_character dbr:Harish-Chandra_homomorphism dbr:Moyal_product dbr:Ore_extension dbr:Springer_correspondence dbr:Zonal_spherical_function dbr:Unitary_representation dbr:Quantized_enveloping_algebra dbr:List_of_abstract_algebra_topics dbr:List_of_theorems dbr:List_of_Lie_groups_topics dbr:List_of_algebras dbr:Rational_homotopy_theory dbr:Hall–Petresco_identity dbr:Center_(ring_theory) dbr:Chelsea_Walton dbr:Gaudin_model dbr:Duflo_isomorphism dbr:Kazhdan–Lusztig_polynomial dbr:Quadratic-linear_algebra dbr:Quadratic_algebra dbr:Quantum_affine_algebra dbr:Representation_of_a_Lie_superalgebra dbr:Representation_theorem dbr:Representation_theory_of_SL2(R) dbr:Restricted_Lie_algebra dbr:Vasiliev_equations dbr:Massless_free_scalar_bosons_in_two_dimensions dbr:Verma_module dbr:Milnor–Moore_theorem dbr:Plancherel_theorem_for_spherical_functions dbr:Hall_word dbr:Distribution_on_a_linear_algebraic_group dbr:Weyl's_theorem_on_complete_reducibility dbr:Berezin_formula dbr:Algebra_of_symbols
is dbp:knownFor of	dbr:Felix_Berezin
is foaf:primaryTopic of	wikipedia-en:Universal_enveloping_algebra