About: Representation theory of the Lorentz group

Property	Value
dbo:description	representation of the symmetry group of spacetime in special relativity (en) Theorie der Quantenmechanik (de) modelización matemática del grupo de simetría del espacio-tiempo en la relatividad especial (es)
dbo:thumbnail	wiki-commons:Special:FilePath/Einstein_en_Lorentz.jpg?width=300
dbo:wikiPageExternalLink	https://archive.org/details/quantumtheoryoff00stev https://archive.org/details/fieldquantizatio0000grei https://books.google.com/books%3Fisbn=0691057567 https://books.google.com/books%3Fid=-Z3cDQAAQBAJ&q=Introduction+to+Lie+groups+and+Lie+algebras https://books.google.com/books%3Fid=brSYF_rB2ZcC http://www.sciencedirect.com/science/bookseries/09258582%7Cvia= https://archive.org/details/quantummechanics0001grei%7Curl-access=registration%7Cyear=1994%7Cedition=2nd%7Cisbn=978-3540580805%7Cpublisher=Springer http://www.e-pics.ethz.ch/link.jsp%3Fcatalog=ETHBIB.Bildarchiv&id=Portr_00890&view=info&c=ba https://books.google.com/books%3Fid=MtU8uP7XMvoC&pg=PR9 http://www.nasonline.org/publications/biographical-memoirs/memoir-pdfs/bargmann-valentine.pdf%7Cchapter=Valentine http://www.nasonline.org/publications/biographical-memoirs/memoir-pdfs/brauer-richard-d.pdf%7Clast=Green%7Cfirst=J. https://archive.org/details/differentialequa00simm%7Curl-access=registration%7Cyear=1972%7Cedition=T http://www.mathnet.ru/links/716f895de8c01ce39ce0a83666f73303/im3007.pdf%7Caccess-date=2014-12-15%7Cpostscript= https://zenodo.org/record/1428182
dbo:wikiPageWikiLink	dbr:Spin_representation dbr:Root_system dbr:Semisimple_Lie_algebra dbr:Weight_(representation_theory) dbr:Unit_sphere dbr:File:Paul_Dirac,_1933.jpg dbr:File:Einstein_en_Lorentz.jpg dbr:Quantum_electrodynamics dbr:Rotation dbr:Dirac_equation dbr:Élie_Cartan dbr:Linear_operator dbr:Parity_(physics) dbr:Representation_theory_of_SU(2) dbr:T-symmetry dbr:Valentine_Bargmann dbr:Clifford_algebra dbr:Endomorphism dbr:Jacques_Dixmier dbr:Harish-Chandra dbr:Pushforward_(differential) dbr:Unitary_operator dbr:Direct_sum dbc:Representation_theory_of_Lie_groups dbc:Special_relativity dbr:Special_relativity dbr:Paul_Dirac dbr:Möbius_transformation dbr:Normal_subgroup dbr:Hypergeometric_function dbr:Superstring_theory dbr:Nambu–Goto_action dbr:Poisson_bracket dbr:Four-momentum dbr:Poincaré_algebra dbr:Poincaré_group dbr:The_Mathematical_Intelligencer dbr:Regular_singular_point dbr:Complex_plane dbr:General_relativity dbr:String_theory dbr:Cambridge_University_Press dbr:Sophus_Lie dbr:Trace_(linear_algebra) dbr:Group_(mathematics) dbr:Complexification dbr:Identity_matrix dbr:Homeomorphism dbr:Curvature_form dbr:Klein–Gordon_equation dbr:Stereographic_projection dbr:Second_quantization dbr:Character_(mathematics) dbr:Diffeomorphism dbr:Harmonic_analysis dbr:Spherical_harmonics dbr:Tensor_product dbr:Dover_Publications dbr:6-j_symbol dbr:Bargmann–Wigner_equations dbr:Covering_group dbr:Hermann_Weyl dbr:Wilhelm_Killing dbr:Hermitian_matrix dbr:Clebsch–Gordan_coefficients dbr:Creation_and_annihilation_operators dbr:Fock_space dbr:Rarita–Schwinger_equation dbr:François_Bruhat dbr:Gamma_matrices dbr:Simple_(abstract_algebra) dbr:Inverse_Fourier_transform dbc:Quantum_mechanics dbr:Quantum_mechanics dbr:Kronecker_delta dbr:Mark_Naimark dbr:Scalar_field dbr:Supersymmetry dbr:Unitary_matrix dbr:Wigner–Eckart_theorem dbr:Convolution dbr:Linear_span dbr:Wigner's_theorem dbr:Lorentz_group dbr:Bosonic_string_theory dbr:Faithful_representation dbr:Levi-Civita_symbol dbr:Lie_group dbr:Pseudovector dbr:CRC_Press dbr:Riemann's_differential_equation dbr:Abuse_of_notation dbr:Gravitino dbr:Matrix_exponential dbr:Proceedings_of_the_Royal_Society dbr:Schur's_lemma dbr:Cartan_subalgebra dbr:Bruhat_decomposition dbr:Principal_series_representation dbr:Projective_representation dbr:Complexification_(Lie_group) dbr:Invariant_mass dbr:Spin_(physics) dbr:Matrix_similarity dbr:Representation_theory dbr:Annals_of_Mathematics dbr:Kernel_(algebra) dbr:S-matrix dbr:Electromagnetic_field dbr:Antipodal_point dbr:Lagrangian_(field_theory) dbr:Maximal_torus dbr:Wightman_axioms dbr:Tachyon dbr:Determinant dbr:Basis_(linear_algebra) dbr:Hilbert_space dbr:Holomorphic_function dbr:Manifold dbr:Graded_Lie_algebra dbr:Supersymmetry_algebra dbr:Bispinor dbr:Complex_conjugation dbr:Linear_transformation dbr:Open_string_(physics) dbr:Bosonic_string dbr:Matrix_(mathematics) dbr:Pauli_matrices dbr:Tensor_field dbr:Spacetime dbr:Eugene_Wigner dbr:Angular_momentum dbr:Minkowski_space dbr:Fundamental_group dbr:Lie_algebra dbr:Pseudoscalar dbr:Simply_connected_space dbr:George_Mackey dbr:Degree_of_a_polynomial dbr:L2_space dbr:Peter–Weyl_theorem dbr:Hyperbolic_space dbr:Lorentz_scalar dbr:Relativistic_quantum_mechanics dbr:Spacetime_algebra dbr:Unitarian_trick dbr:Richard_Brauer dbr:Homogeneous_polynomial dbr:Paul_Malliavin dbr:Weyl_character_formula dbr:Adjoint_representation dbr:Adjoint_representation_of_a_Lie_algebra dbr:Princeton_University_Press dbr:Compact_Lie_group dbr:Dirac_algebra dbr:Abelian_group dbr:Weyl_group dbr:Hilbert–Schmidt_operator dbr:Line_bundle dbr:3-j_symbol dbr:ScienceDirect dbr:Dual_representation dbr:Induced_representation dbr:Advances_in_Mathematics dbr:Zonal_spherical_function dbr:Unitary_representation dbr:Irreducible_representation dbr:Compact_space dbr:Gravitational_field dbr:Classical_field_theory dbr:Quantum_field_theory dbr:Israel_Gelfand dbr:Particle dbr:Dirac_spinor dbr:Riemann_sphere dbr:Spin_group dbr:Anticommutator dbr:De_Sitter_space dbr:Symmetric_bilinear_form dbr:Strong_operator_topology dbr:Real_form_(Lie_theory) dbr:Frobenius_reciprocity dbr:World_Scientific_Publishing dbr:Generalized_Fourier_series dbr:Representation_theory_of_the_Poincaré_group dbr:Rotation_group_SO(3) dbr:Bargmann-Wigner_equations dbr:Pole_(complex_analysis) dbr:Symmetry_in_quantum_mechanics dbr:Exponential_map_(Lie_theory) dbr:Principle_of_least_action dbr:Semisimple_group dbr:Wigner's_classification dbr:Tata_McGraw-Hill dbr:Lorentz_boost dbr:Electromagnetic_field_tensor dbr:Tensor_operator dbr:Complex_coordinate_space dbr:Standard_model dbr:Conformal_mapping dbr:Möbius_group dbr:E._P._Wigner dbr:Electroweak_force dbr:Plancherel_formula dbr:Su(2) dbr:Complex_numbers dbr:Borel–Weil_theorem dbr:Hypergeometric_functions dbr:Hermitian dbr:Center_of_mass_(relativistic) dbr:Field_operator dbr:2-form dbr:Euler–Lagrange_equations dbr:Theorem_on_highest_weights dbr:Weyl-Brauer_matrices dbr:Weyl_spinor dbr:Connected_set dbr:Contractible dbr:Lie_correspondence dbr:File:Hermann_Weyl_ETH-Bib_Portr_00890.jpg dbr:Charge_conjugation_symmetry dbr:Main_theorem_of_connectedness dbr:Orthochronous dbr:P-symmetry dbr:Highest_weight dbr:Highest_weight_representation dbr:Irreducible_character dbr:Real_numbers dbr:Spherical_tensor_operator dbr:Dirac_matrices dbr:Direct_sum_of_representations dbr:Doklady_Akademii_Nauk_SSSR dbr:Energy–momentum_tensor dbr:Embedded_submanifold dbr:Anti-Hermitian dbr:Antilinear dbr:Antiunitary dbr:Clebsch–Gordan_coefficient dbr:Closed_string dbr:Commutation_relation dbr:Commutator_bracket dbr:Complementary_series dbr:Covering_map dbr:Laplacian dbr:CPT_theorem dbr:List_of_simple_lie_groups dbr:Little_group dbr:Indicial_equation dbr:Representation_space dbr:Representation_theory_of_the_Poincare_group dbr:Representations_of_Lie_groups dbr:Polar_decomposition_theorem dbr:File:Wigner.jpg dbr:Universal_covering_group dbr:File:Commutative_diagram_SO(3,_1)_latex.svg dbr:File:Richard_Brauer.jpg dbr:File:Root_system_A1xA1.svg dbr:File:Wilhelm_Karl_Joseph_Killing.jpeg
dbp:title	More on covering groups in general and the covering of the Lorentz group in particular (en)
dbp:titlestyle	color:green;background:lightgrey; (en)
dbp:wikiPageUsesTemplate	dbt:Good_article dbt:Cite_book dbt:! dbt:Main dbt:Reflist dbt:Math dbt:Overline dbt:Cite_journal dbt:Hidden_end dbt:TOC_limit dbt:Sqrt dbt:EquationNote dbt:EquationRef dbt:Hidden_begin dbt:Citation dbt:Cite_arXiv dbt:Use_American_English dbt:Gaps dbt:Sfrac dbt:Paragraph_break dbt:CS1_config dbt:Mvar dbt:Math_proof dbt:Section_link dbt:Abs dbt:Harvtxt dbt:Isbn dbt:NumBlk dbt:Supsub dbt:Relativity dbt:Manifolds dbt:Short_description
dct:subject	dbc:Representation_theory_of_Lie_groups dbc:Special_relativity dbc:Quantum_mechanics
rdfs:label	Representation theory of the Lorentz group (en) Darstellungstheorie der Lorentz-Gruppe (de) Teoria delle rappresentazioni del gruppo di Lorentz (it) Теория представлений группы Лоренца (ru)
owl:sameAs	freebase:Representation theory of the Lorentz group wikidata:Representation theory of the Lorentz group dbpedia-it:Representation theory of the Lorentz group dbpedia-de:Representation theory of the Lorentz group dbpedia-ru:Representation theory of the Lorentz group dbpedia-global:Representation theory of the Lorentz group
prov:wasDerivedFrom	wikipedia-en:Representation_theory_of_the_Lorentz_group?oldid=1289690969&ns=0
foaf:depiction	wiki-commons:Special:FilePath/Hermann_Weyl_ETH-Bib_Portr_00890.jpg wiki-commons:Special:FilePath/Richard_Brauer.jpg wiki-commons:Special:FilePath/Wilhelm_Karl_Joseph_Killing.jpeg wiki-commons:Special:FilePath/Einstein_en_Lorentz.jpg wiki-commons:Special:FilePath/Wigner.jpg wiki-commons:Special:FilePath/Paul_Dirac,_1933.jpg wiki-commons:Special:FilePath/Root_system_A1xA1.svg wiki-commons:Special:FilePath/Commutative_diagram_SO(3,_1)_latex.svg
foaf:isPrimaryTopicOf	wikipedia-en:Representation_theory_of_the_Lorentz_group
is dbo:wikiPageRedirects of	dbr:Representation_of_the_Lorentz_group dbr:Representation_theory_of_SL2(C) dbr:Representations_of_the_Lorentz_Group dbr:Representations_of_the_Lorentz_group
is dbo:wikiPageWikiLink of	dbr:Semisimple_representation dbr:Four-vector dbr:Representation_of_a_Lie_group dbr:Gyromagnetic_ratio dbr:Möbius_transformation dbr:Poincaré_group dbr:Velocity-addition_formula dbr:Wigner_rotation dbr:Schrödinger_equation dbr:Relativistic_angular_momentum dbr:Lorentz_covariance dbr:Majorana_equation dbr:Covariance_group dbr:Charge_(physics) dbr:Gamma_matrices dbr:Lorentz_transformation dbr:SL2(R) dbr:Lorentz_group dbr:Lorenz_gauge_condition dbr:Representation_theory dbr:S-matrix dbr:Wave_function dbr:Super-Poincaré_algebra dbr:Bispinor dbr:Pauli_matrices dbr:Glossary_of_areas_of_mathematics dbr:Relativistic_quantum_mechanics dbr:Baker–Campbell–Hausdorff_formula dbr:Dirac_algebra dbr:Unitary_representation dbr:Multiplet dbr:Biquaternion dbr:Relativistic_wave_equations dbr:Representation_theory_of_the_Poincaré_group dbr:Joos–Weinberg_equation dbr:Symmetry_in_quantum_mechanics dbr:Infeld–Van_der_Waerden_symbols dbr:Higher-dimensional_gamma_matrices dbr:History_of_subatomic_physics dbr:Center_of_mass_(relativistic) dbr:Representation_of_the_Lorentz_group dbr:Representation_theory_of_SL2(C) dbr:Representations_of_the_Lorentz_Group dbr:Representations_of_the_Lorentz_group
is rdfs:seeAlso of	dbr:Dirac_equation_in_curved_spacetime
is foaf:primaryTopic of	wikipedia-en:Representation_theory_of_the_Lorentz_group