Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Representation_theory_of_the_Lorentz_group> ?p ?o }
- Representation_theory_of_the_Lorentz_group abstract "The Lorentz group, a Lie group on which special relativity is based, has a wide variety of representations. Many of these representations, both finite-dimensional and infinite-dimensional, are important in theoretical physics in the description of particles in relativistic quantum mechanics, as well as of both particles and quantum fields in quantum field theory.This representation theory also provides the theoretical ground for the concept of spin, which, for a particle, can be either integer or half-integer in the unit of the reduced Planck constant ℏ. Quantum mechanical wave functions representing particles with half-integer spin are called spinors. The classical electromagnetic field has spin as well. It transforms under a representation with spin one. It enters into general relativity because in small enough regions of spacetime, physics is that of special relativity.The group may also be represented in terms of a set of functions defined on the Riemann sphere. These are the Riemann P-functions, which are expressible as hypergeometric functions. The identity component SO(3; 1)+ of the Lorentz group is isomorphic to the Möbius group, and hence any representation of the Lorentz group is necessarily a representation of the Möbius group and vice versa.The subgroup SO(3) with its representation theory form a simpler theory, but the two are related and both are prominent in theoretical physics as descriptions of spin, angular momentum, and other phenomena related to rotation.The adopted Lie algebra basis and conventions used are presented here.".
- Representation_theory_of_the_Lorentz_group thumbnail Einstein_en_Lorentz.jpg?width=300.
- Representation_theory_of_the_Lorentz_group wikiPageExternalLink books?isbn=0691057567.
- Representation_theory_of_the_Lorentz_group wikiPageID "2249718".
- Representation_theory_of_the_Lorentz_group wikiPageLength "128112".
- Representation_theory_of_the_Lorentz_group wikiPageOutDegree "273".
- Representation_theory_of_the_Lorentz_group wikiPageRevisionID "705884828".
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink 3-j_symbol.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink 6-j_symbol.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Abelian_group.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Abuse_of_notation.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Adjoint_representation.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Analyticity_of_holomorphic_functions.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Angular_momentum.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Annals_of_Mathematics.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Antilinear_map.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Antiunitary_operator.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Baker–Campbell–Hausdorff_formula.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Bargmann–Wigner_equations.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Basis_(linear_algebra).
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Bispinor.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Borel–Weil_theorem.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Bruhat_decomposition.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink C-symmetry.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink CPT_symmetry.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Cambridge_University_Press.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Cartan_subalgebra.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Cartans_theorem.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Category:Quantum_mechanics.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Category:Representation_theory_of_Lie_groups.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Category:Special_relativity.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Center_of_mass_(relativistic).
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Chain_rule.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Character_(mathematics).
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Clebsch–Gordan_coefficients.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Clifford_algebra.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Commutator.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Compact_group.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Compact_space.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Complex_conjugate.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Complex_coordinate_space.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Complex_number.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Complex_plane.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Complexification.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Complexification_(Lie_group).
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Conformal_map.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Conjugacy_class.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Connected_space.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Contractible_space.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Convolution.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Covering_group.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Covering_space.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Curvature_form.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Degree_of_a_polynomial.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Diffeomorphism.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Dirac_algebra.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Dirac_equation.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Dirac_operator.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Dirac_spinor.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Direct_sum.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Dual_representation.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Electromagnetic_field.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Electromagnetic_tensor.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Electroweak_interaction.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Endomorphism.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Equivalence_relation.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Eugene_Wigner.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Euler_angles.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Exponential_map_(Lie_theory).
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Faithful_representation.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink File:Commutative_diagram_SO(3,_1)_latex.svg.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink File:IM_Gelfand.jpg.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Four-momentum.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Four-vector.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Fourier_inversion_theorem.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink François_Bruhat.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Fundamental_group.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Gamma_matrices.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink General_relativity.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink George_Mackey.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Gravitino.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Group_(mathematics).
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Group_homomorphism.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Half-integer.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Harish-Chandra.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Harmonic_analysis.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Hermann_Weyl.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Hilbert–Schmidt_operator.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Hodge_dual.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Holomorphic_function.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Homogeneous_polynomial.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Homotopy.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Hyperbolic_space.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Hyperboloid.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Hypergeometric_function.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Identity_component.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Identity_matrix.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Induced_representation.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Integer.
- Representation_theory_of_the_Lorentz_group wikiPageWikiLink Invariant_mass.