Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Group_representation> ?p ?o }
- Group_representation abstract "In the mathematical field of representation theory, group representations describe abstract groups in terms of linear transformations of vector spaces; in particular, they can be used to represent group elements as matrices so that the group operation can be represented by matrix multiplication. Representations of groups are important because they allow many group-theoretic problems to be reduced to problems in linear algebra, which is well understood. They are also important in physics because, for example, they describe how the symmetry group of a physical system affects the solutions of equations describing that system. The term representation of a group is also used in a more general sense to mean any "description" of a group as a group of transformations of some mathematical object. More formally, a "representation" means a homomorphism from the group to the automorphism group of an object. If the object is a vector space we have a linear representation. Some people use realization for the general notion and reserve the term representation for the special case of linear representations. The bulk of this article describes linear representation theory; see the last section for generalizations.".
- Group_representation wikiPageID "12695".
- Group_representation wikiPageLength "13245".
- Group_representation wikiPageOutDegree "104".
- Group_representation wikiPageRevisionID "622431952".
- Group_representation wikiPageWikiLink Affine_representation.
- Group_representation wikiPageWikiLink Affine_space.
- Group_representation wikiPageWikiLink Algebraic_geometry.
- Group_representation wikiPageWikiLink Algebraically_closed.
- Group_representation wikiPageWikiLink Algebraically_closed_field.
- Group_representation wikiPageWikiLink Automorphism.
- Group_representation wikiPageWikiLink Automorphism_group.
- Group_representation wikiPageWikiLink Banach_space.
- Group_representation wikiPageWikiLink Basis_(linear_algebra).
- Group_representation wikiPageWikiLink Bijection.
- Group_representation wikiPageWikiLink Category:Group_theory.
- Group_representation wikiPageWikiLink Category:Representation_theory.
- Group_representation wikiPageWikiLink Category:Representation_theory_of_groups.
- Group_representation wikiPageWikiLink Category_(mathematics).
- Group_representation wikiPageWikiLink Category_of_abelian_groups.
- Group_representation wikiPageWikiLink Category_of_modules.
- Group_representation wikiPageWikiLink Category_of_sets.
- Group_representation wikiPageWikiLink Category_of_topological_spaces.
- Group_representation wikiPageWikiLink Category_of_vector_spaces.
- Group_representation wikiPageWikiLink Character_theory.
- Group_representation wikiPageWikiLink Characteristic_(algebra).
- Group_representation wikiPageWikiLink Compact_group.
- Group_representation wikiPageWikiLink Complex_number.
- Group_representation wikiPageWikiLink Complex_numbers.
- Group_representation wikiPageWikiLink Continuous_function.
- Group_representation wikiPageWikiLink Continuous_function_(topology).
- Group_representation wikiPageWikiLink Crystallography.
- Group_representation wikiPageWikiLink Cyclic_group.
- Group_representation wikiPageWikiLink Direct_sum_of_groups.
- Group_representation wikiPageWikiLink Euclidean_group.
- Group_representation wikiPageWikiLink Euclidean_space.
- Group_representation wikiPageWikiLink Faithful_representation.
- Group_representation wikiPageWikiLink Field_(mathematics).
- Group_representation wikiPageWikiLink Finite_field.
- Group_representation wikiPageWikiLink Finite_group.
- Group_representation wikiPageWikiLink Fourier_transform.
- Group_representation wikiPageWikiLink Function_(mathematics).
- Group_representation wikiPageWikiLink Functor.
- Group_representation wikiPageWikiLink G-module.
- Group_representation wikiPageWikiLink General_linear_group.
- Group_representation wikiPageWikiLink Group_(mathematics).
- Group_representation wikiPageWikiLink Group_action.
- Group_representation wikiPageWikiLink Group_homomorphism.
- Group_representation wikiPageWikiLink Group_scheme.
- Group_representation wikiPageWikiLink Group_theory.
- Group_representation wikiPageWikiLink Haar_measure.
- Group_representation wikiPageWikiLink Harmonic_analysis.
- Group_representation wikiPageWikiLink Hilbert_space.
- Group_representation wikiPageWikiLink Homeomorphism.
- Group_representation wikiPageWikiLink Homomorphism.
- Group_representation wikiPageWikiLink Injective.
- Group_representation wikiPageWikiLink Injective_function.
- Group_representation wikiPageWikiLink Invertible_matrix.
- Group_representation wikiPageWikiLink Isomorphism.
- Group_representation wikiPageWikiLink Lie_algebra_representation.
- Group_representation wikiPageWikiLink Lie_group.
- Group_representation wikiPageWikiLink Lie_groups.
- Group_representation wikiPageWikiLink Linear_algebra.
- Group_representation wikiPageWikiLink Linear_algebraic_group.
- Group_representation wikiPageWikiLink Linear_map.
- Group_representation wikiPageWikiLink Linear_transformation.
- Group_representation wikiPageWikiLink List_of_harmonic_analysis_topics.
- Group_representation wikiPageWikiLink List_of_representation_theory_topics.
- Group_representation wikiPageWikiLink Locally_compact_group.
- Group_representation wikiPageWikiLink Mackey_theory.
- Group_representation wikiPageWikiLink Maschkes_theorem.
- Group_representation wikiPageWikiLink Mathematics.
- Group_representation wikiPageWikiLink Matrix_(mathematics).
- Group_representation wikiPageWikiLink Matrix_multiplication.
- Group_representation wikiPageWikiLink Modular_representation_theory.
- Group_representation wikiPageWikiLink Morphism.
- Group_representation wikiPageWikiLink Order_(group_theory).
- Group_representation wikiPageWikiLink P-adic_number.
- Group_representation wikiPageWikiLink Permutation.
- Group_representation wikiPageWikiLink Peter–Weyl_theorem.
- Group_representation wikiPageWikiLink Physics.
- Group_representation wikiPageWikiLink Pontryagin_duality.
- Group_representation wikiPageWikiLink Prime_number.
- Group_representation wikiPageWikiLink Projective_representation.
- Group_representation wikiPageWikiLink Projective_space.
- Group_representation wikiPageWikiLink Real_number.
- Group_representation wikiPageWikiLink Real_numbers.
- Group_representation wikiPageWikiLink Reduction_(mathematics).
- Group_representation wikiPageWikiLink Representation_of_a_Lie_group.
- Group_representation wikiPageWikiLink Representation_theory.
- Group_representation wikiPageWikiLink Representation_theory_of_finite_groups.
- Group_representation wikiPageWikiLink Representations_of_Lie_algebras.
- Group_representation wikiPageWikiLink Representations_of_Lie_groups.
- Group_representation wikiPageWikiLink Semidirect_product.
- Group_representation wikiPageWikiLink Set_(mathematics).
- Group_representation wikiPageWikiLink Symmetric_group.
- Group_representation wikiPageWikiLink Symmetry_group.
- Group_representation wikiPageWikiLink System_of_imprimitivity.
- Group_representation wikiPageWikiLink Topological_vector_space.
- Group_representation wikiPageWikiLink Up_to.