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- Representation_theory_of_SU(2) abstract "In the study of the representation theory of Lie groups, the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups. It is the first case of a Lie group that is both a compact group and a non-abelian group. The first condition implies the representation theory is discrete: representations are direct sums of a collection of basic irreducible representations (governed by the Peter–Weyl theorem). The second means that there will be irreducible representations in dimensions greater than 1.SU(2) is the universal covering group of SO(3), and so its representation theory includes that of the latter, by dint of a surjective homomorphism to it. This underlies the significance of SU(2) for the description of non-relativistic spin in theoretical physics; see below for other physical and historical context.As shown below, the finite-dimensional irreducible representations of SU(2) are indexed by a integer or half-integer λ ≥ 0, with dimension 2λ + 1.".
- Representation_theory_of_SU(2) wikiPageExternalLink lieg.html.
- Representation_theory_of_SU(2) wikiPageID "1378619".
- Representation_theory_of_SU(2) wikiPageLength "9599".
- Representation_theory_of_SU(2) wikiPageOutDegree "77".
- Representation_theory_of_SU(2) wikiPageRevisionID "706853606".
- Representation_theory_of_SU(2) wikiPageWikiLink Adjoint_representation.
- Representation_theory_of_SU(2) wikiPageWikiLink Angular_momentum_operator.
- Representation_theory_of_SU(2) wikiPageWikiLink Baryon.
- Representation_theory_of_SU(2) wikiPageWikiLink Borel–Weil–Bott_theorem.
- Representation_theory_of_SU(2) wikiPageWikiLink Casimir_element.
- Representation_theory_of_SU(2) wikiPageWikiLink Category:Representation_theory_of_Lie_groups.
- Representation_theory_of_SU(2) wikiPageWikiLink Category:Rotation_in_three_dimensions.
- Representation_theory_of_SU(2) wikiPageWikiLink Compact_group.
- Representation_theory_of_SU(2) wikiPageWikiLink Complex_number.
- Representation_theory_of_SU(2) wikiPageWikiLink Complexification.
- Representation_theory_of_SU(2) wikiPageWikiLink Covering_group.
- Representation_theory_of_SU(2) wikiPageWikiLink Delta_baryon.
- Representation_theory_of_SU(2) wikiPageWikiLink Diagonalizable_matrix.
- Representation_theory_of_SU(2) wikiPageWikiLink Dimension_(vector_space).
- Representation_theory_of_SU(2) wikiPageWikiLink Direct_sum.
- Representation_theory_of_SU(2) wikiPageWikiLink Eigenvalues_and_eigenvectors.
- Representation_theory_of_SU(2) wikiPageWikiLink Electroweak_interaction.
- Representation_theory_of_SU(2) wikiPageWikiLink Euclidean_space.
- Representation_theory_of_SU(2) wikiPageWikiLink Faithful_representation.
- Representation_theory_of_SU(2) wikiPageWikiLink Fundamental_representation.
- Representation_theory_of_SU(2) wikiPageWikiLink Geometry.
- Representation_theory_of_SU(2) wikiPageWikiLink Group_theory.
- Representation_theory_of_SU(2) wikiPageWikiLink Half-integer.
- Representation_theory_of_SU(2) wikiPageWikiLink Identity_matrix.
- Representation_theory_of_SU(2) wikiPageWikiLink Infinitesimal_transformation.
- Representation_theory_of_SU(2) wikiPageWikiLink Integer.
- Representation_theory_of_SU(2) wikiPageWikiLink Invariant_mass.
- Representation_theory_of_SU(2) wikiPageWikiLink Irreducible_representation.
- Representation_theory_of_SU(2) wikiPageWikiLink Isospin.
- Representation_theory_of_SU(2) wikiPageWikiLink Kernel_(algebra).
- Representation_theory_of_SU(2) wikiPageWikiLink Ladder_operator.
- Representation_theory_of_SU(2) wikiPageWikiLink Lie_bracket_of_vector_fields.
- Representation_theory_of_SU(2) wikiPageWikiLink Lie_group.
- Representation_theory_of_SU(2) wikiPageWikiLink Lorentz_group.
- Representation_theory_of_SU(2) wikiPageWikiLink Matrix_(mathematics).
- Representation_theory_of_SU(2) wikiPageWikiLink Matrix_multiplication.
- Representation_theory_of_SU(2) wikiPageWikiLink Multiplicity_(mathematics).
- Representation_theory_of_SU(2) wikiPageWikiLink Non-abelian_group.
- Representation_theory_of_SU(2) wikiPageWikiLink Particle_physics.
- Representation_theory_of_SU(2) wikiPageWikiLink Pauli_matrices.
- Representation_theory_of_SU(2) wikiPageWikiLink Peter–Weyl_theorem.
- Representation_theory_of_SU(2) wikiPageWikiLink Quaternion.
- Representation_theory_of_SU(2) wikiPageWikiLink Real_number.
- Representation_theory_of_SU(2) wikiPageWikiLink Representation_theory.
- Representation_theory_of_SU(2) wikiPageWikiLink Representation_theory_of_SL2(R).
- Representation_theory_of_SU(2) wikiPageWikiLink Representation_theory_of_the_Lorentz_group.
- Representation_theory_of_SU(2) wikiPageWikiLink Rotation.
- Representation_theory_of_SU(2) wikiPageWikiLink Rotation_(mathematics).
- Representation_theory_of_SU(2) wikiPageWikiLink Rotation_group_SO(3).
- Representation_theory_of_SU(2) wikiPageWikiLink Rotation_operator_(quantum_mechanics).
- Representation_theory_of_SU(2) wikiPageWikiLink Row_and_column_vectors.
- Representation_theory_of_SU(2) wikiPageWikiLink Schurs_lemma.
- Representation_theory_of_SU(2) wikiPageWikiLink Semisimple_Lie_algebra.
- Representation_theory_of_SU(2) wikiPageWikiLink Special_relativity.
- Representation_theory_of_SU(2) wikiPageWikiLink Special_unitary_group.
- Representation_theory_of_SU(2) wikiPageWikiLink Spin-½.
- Representation_theory_of_SU(2) wikiPageWikiLink Spin_(physics).
- Representation_theory_of_SU(2) wikiPageWikiLink Theoretical_physics.
- Representation_theory_of_SU(2) wikiPageWikiLink Three-dimensional_space_(mathematics).
- Representation_theory_of_SU(2) wikiPageWikiLink Unit_vector.
- Representation_theory_of_SU(2) wikiPageWikiLink Vector_meson.
- Representation_theory_of_SU(2) wikiPageWikiLink Versor.
- Representation_theory_of_SU(2) wikiPageWikiLink Weak_isospin.
- Representation_theory_of_SU(2) wikiPageWikiLink Weight_(representation_theory).
- Representation_theory_of_SU(2) wikiPageWikiLink William_Rowan_Hamilton.
- Representation_theory_of_SU(2) wikiPageWikiLinkText "'''3''' representation of SU(2)".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "''SU(2)''".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "Representation theory of SU(2)".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "SU(2)".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "group representations".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "its representation theory".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "representation of ".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "representation theory of SU(2)".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "representations of ".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "representations of '''su'''(2)".
- Representation_theory_of_SU(2) wikiPageWikiLinkText "study of representations of SU(2)".
- Representation_theory_of_SU(2) wikiPageUsesTemplate Template:Citation.
- Representation_theory_of_SU(2) wikiPageUsesTemplate Template:Main.
- Representation_theory_of_SU(2) wikiPageUsesTemplate Template:Math.
- Representation_theory_of_SU(2) wikiPageUsesTemplate Template:Mvar.
- Representation_theory_of_SU(2) wikiPageUsesTemplate Template:Sfrac.
- Representation_theory_of_SU(2) subject Category:Representation_theory_of_Lie_groups.
- Representation_theory_of_SU(2) subject Category:Rotation_in_three_dimensions.
- Representation_theory_of_SU(2) type Mechanic.
- Representation_theory_of_SU(2) comment "In the study of the representation theory of Lie groups, the study of representations of SU(2) is fundamental to the study of representations of semisimple Lie groups. It is the first case of a Lie group that is both a compact group and a non-abelian group. The first condition implies the representation theory is discrete: representations are direct sums of a collection of basic irreducible representations (governed by the Peter–Weyl theorem).".
- Representation_theory_of_SU(2) label "Representation theory of SU(2)".
- Representation_theory_of_SU(2) sameAs Q7314224.
- Representation_theory_of_SU(2) sameAs m.04xzl0.
- Representation_theory_of_SU(2) sameAs Q7314224.
- Representation_theory_of_SU(2) wasDerivedFrom Representation_theory_of_SU(2)?oldid=706853606.
- Representation_theory_of_SU(2) isPrimaryTopicOf Representation_theory_of_SU(2).