Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Restricted_representation> ?p ?o }
- Restricted_representation abstract "In mathematics, restriction is a fundamental construction in representation theory of groups. Restriction forms a representation of a subgroup from a representation of the whole group. Often the restricted representation is simpler to understand. Rules for decomposing the restriction of an irreducible representation into irreducible representations of the subgroup are called branching rules, and have important applications in physics. For example, in case of explicit symmetry breaking, the symmetry group of the problem is reduced from the whole group to one of its subgroups. In quantum mechanics, this reduction in symmetry appears as a splitting of degenerate energy levels into multiplets, as in the Stark or Zeeman effect.The induced representation is a related operation that forms a representation of the whole group from a representation of a subgroup. The relation between restriction and induction is described by Frobenius reciprocity and the Mackey theorem. Restriction to a normal subgroup behaves particularly well and is often called Clifford theory after the theorem of A. H. Clifford. Restriction can be generalized to other group homomorphisms and to other rings.For any group G, its subgroup H, and a linear representation ρ of G, the restriction of ρ to H, denotedρ|H,is a representation of H on the same vector space by the same operators:ρ|H(h) = ρ(h).↑".
- Restricted_representation wikiPageID "880754".
- Restricted_representation wikiPageLength "21206".
- Restricted_representation wikiPageOutDegree "86".
- Restricted_representation wikiPageRevisionID "670970366".
- Restricted_representation wikiPageWikiLink Abstract_algebra.
- Restricted_representation wikiPageWikiLink Adjoint_functor.
- Restricted_representation wikiPageWikiLink Adjoint_functors.
- Restricted_representation wikiPageWikiLink Alfred_H._Clifford.
- Restricted_representation wikiPageWikiLink Algebraic_combinatorics.
- Restricted_representation wikiPageWikiLink Annals_of_Mathematics.
- Restricted_representation wikiPageWikiLink Associative_algebra.
- Restricted_representation wikiPageWikiLink Block_matrix.
- Restricted_representation wikiPageWikiLink Category:Algebraic_combinatorics.
- Restricted_representation wikiPageWikiLink Category:Representation_theory.
- Restricted_representation wikiPageWikiLink Category_theory.
- Restricted_representation wikiPageWikiLink Characteristic_(algebra).
- Restricted_representation wikiPageWikiLink Characteristic_zero.
- Restricted_representation wikiPageWikiLink Classical_group.
- Restricted_representation wikiPageWikiLink Clifford_theory.
- Restricted_representation wikiPageWikiLink Comm._Math._Phys..
- Restricted_representation wikiPageWikiLink Communications_in_Mathematical_Physics.
- Restricted_representation wikiPageWikiLink Compact_group.
- Restricted_representation wikiPageWikiLink Completely_reducible.
- Restricted_representation wikiPageWikiLink Complex_number.
- Restricted_representation wikiPageWikiLink Crystal_base.
- Restricted_representation wikiPageWikiLink Crystal_basis.
- Restricted_representation wikiPageWikiLink Degenerate_energy_levels.
- Restricted_representation wikiPageWikiLink Dudley_E._Littlewood.
- Restricted_representation wikiPageWikiLink Exact_functor.
- Restricted_representation wikiPageWikiLink Explicit_symmetry_breaking.
- Restricted_representation wikiPageWikiLink Field_(algebra).
- Restricted_representation wikiPageWikiLink Field_(mathematics).
- Restricted_representation wikiPageWikiLink Forgetful_functor.
- Restricted_representation wikiPageWikiLink Frobenius_reciprocity.
- Restricted_representation wikiPageWikiLink George_Lusztig.
- Restricted_representation wikiPageWikiLink George_Mackey.
- Restricted_representation wikiPageWikiLink Group_(mathematics).
- Restricted_representation wikiPageWikiLink Group_homomorphism.
- Restricted_representation wikiPageWikiLink Group_representation.
- Restricted_representation wikiPageWikiLink Group_representation_theory.
- Restricted_representation wikiPageWikiLink Hermann_Weyl.
- Restricted_representation wikiPageWikiLink Hermitian_symmetric_space.
- Restricted_representation wikiPageWikiLink Hopf_algebra.
- Restricted_representation wikiPageWikiLink Hua_Loo-keng.
- Restricted_representation wikiPageWikiLink Hua_Luogeng.
- Restricted_representation wikiPageWikiLink I._M._Gelfand.
- Restricted_representation wikiPageWikiLink Inclusion_map.
- Restricted_representation wikiPageWikiLink Index_of_a_subgroup.
- Restricted_representation wikiPageWikiLink Induced_representation.
- Restricted_representation wikiPageWikiLink Induced_representations.
- Restricted_representation wikiPageWikiLink Invariant_theory.
- Restricted_representation wikiPageWikiLink Irreducible_representation.
- Restricted_representation wikiPageWikiLink Israel_Gelfand.
- Restricted_representation wikiPageWikiLink Journal_of_Algebra.
- Restricted_representation wikiPageWikiLink Kashiwara.
- Restricted_representation wikiPageWikiLink Kashiwara,_Osaka.
- Restricted_representation wikiPageWikiLink LOMI.
- Restricted_representation wikiPageWikiLink Lie_algebra.
- Restricted_representation wikiPageWikiLink Lie_superalgebra.
- Restricted_representation wikiPageWikiLink Linear_representation.
- Restricted_representation wikiPageWikiLink Littelmann_path_model.
- Restricted_representation wikiPageWikiLink Littlewood–Richardson_rule.
- Restricted_representation wikiPageWikiLink Locally_compact_group.
- Restricted_representation wikiPageWikiLink Ludvig_Faddeev.
- Restricted_representation wikiPageWikiLink Ludwig_Faddeev.
- Restricted_representation wikiPageWikiLink Lusztig.
- Restricted_representation wikiPageWikiLink Mathematics.
- Restricted_representation wikiPageWikiLink Maximal_torus.
- Restricted_representation wikiPageWikiLink Module_(mathematics).
- Restricted_representation wikiPageWikiLink Multiplet.
- Restricted_representation wikiPageWikiLink Multiplicity_(mathematics).
- Restricted_representation wikiPageWikiLink Normal_subgroup.
- Restricted_representation wikiPageWikiLink Orthogonal_group.
- Restricted_representation wikiPageWikiLink Physics.
- Restricted_representation wikiPageWikiLink Quantum_mechanics.
- Restricted_representation wikiPageWikiLink Quaternion.
- Restricted_representation wikiPageWikiLink Quaternionic_unitary_group.
- Restricted_representation wikiPageWikiLink Quaternions.
- Restricted_representation wikiPageWikiLink Reductive_dual_pair.
- Restricted_representation wikiPageWikiLink Representation_theory.
- Restricted_representation wikiPageWikiLink Representation_theory_of_finite_groups.
- Restricted_representation wikiPageWikiLink Reproducing_kernel.
- Restricted_representation wikiPageWikiLink Reproducing_kernel_Hilbert_space.
- Restricted_representation wikiPageWikiLink Richard_Brauer.
- Restricted_representation wikiPageWikiLink Ring_(mathematics).
- Restricted_representation wikiPageWikiLink Semi-simplicity.
- Restricted_representation wikiPageWikiLink Several_complex_variables.
- Restricted_representation wikiPageWikiLink Shilov_boundary.
- Restricted_representation wikiPageWikiLink Skew_tableau.
- Restricted_representation wikiPageWikiLink Special_orthogonal_group.
- Restricted_representation wikiPageWikiLink Spin_representation.
- Restricted_representation wikiPageWikiLink St._Petersburg_Department_of_Steklov_Institute_of_Mathematics_of_Russian_Academy_of_Sciences.
- Restricted_representation wikiPageWikiLink Stark_effect.
- Restricted_representation wikiPageWikiLink Subgroup.
- Restricted_representation wikiPageWikiLink Symmetry_group.
- Restricted_representation wikiPageWikiLink Symplectic_group.
- Restricted_representation wikiPageWikiLink Unitary_group.
- Restricted_representation wikiPageWikiLink Unitary_representation.
- Restricted_representation wikiPageWikiLink Unitary_symplectic_group.