Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Lie_algebra_representation> ?p ?o }
- Lie_algebra_representation abstract "In the mathematical field of representation theory, a Lie algebra representation or representation of a Lie algebra is a way of writing a Lie algebra as a set of matrices (or endomorphisms of a vector space) in such a way that the Lie bracket is given by the commutator.The notion is closely related to that of a representation of a Lie group. Roughly speaking, the representations of Lie algebras are the differentiated form of representations of Lie groups, while the representations of the universal cover of a Lie group are the integrated form of the representations of its Lie algebra.In the study of representations of a Lie algebra, a particular ring, called the universal enveloping algebra, associated with the Lie algebra plays a decisive role. The universality of this construction of this ring says that the category of representations of a Lie algebra is the same as the category of modules over its enveloping algebra.".
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- Lie_algebra_representation wikiPageWikiLink Abelian_Lie_algebra.
- Lie_algebra_representation wikiPageWikiLink Adjoint_endomorphism.
- Lie_algebra_representation wikiPageWikiLink Adjoint_representation_of_a_Lie_algebra.
- Lie_algebra_representation wikiPageWikiLink Algebra_over_a_field.
- Lie_algebra_representation wikiPageWikiLink Algebra_representation.
- Lie_algebra_representation wikiPageWikiLink Antiderivation.
- Lie_algebra_representation wikiPageWikiLink Associative.
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- Lie_algebra_representation wikiPageWikiLink Associative_property.
- Lie_algebra_representation wikiPageWikiLink BGG_reciprocity.
- Lie_algebra_representation wikiPageWikiLink Bilinear_map.
- Lie_algebra_representation wikiPageWikiLink Category:Representation_theory_of_Lie_algebras.
- Lie_algebra_representation wikiPageWikiLink Category_O.
- Lie_algebra_representation wikiPageWikiLink Chemical_element.
- Lie_algebra_representation wikiPageWikiLink Commutator.
- Lie_algebra_representation wikiPageWikiLink Covering_space.
- Lie_algebra_representation wikiPageWikiLink Derivation_(abstract_algebra).
- Lie_algebra_representation wikiPageWikiLink Derivation_(differential_algebra).
- Lie_algebra_representation wikiPageWikiLink Direct_sum.
- Lie_algebra_representation wikiPageWikiLink Direct_summand.
- Lie_algebra_representation wikiPageWikiLink Endomorphism.
- Lie_algebra_representation wikiPageWikiLink General_linear_group.
- Lie_algebra_representation wikiPageWikiLink Geometric_quantization.
- Lie_algebra_representation wikiPageWikiLink Graded_algebra.
- Lie_algebra_representation wikiPageWikiLink Graded_ring.
- Lie_algebra_representation wikiPageWikiLink Graded_vector_space.
- Lie_algebra_representation wikiPageWikiLink Homomorphism.
- Lie_algebra_representation wikiPageWikiLink Jacobi_identity.
- Lie_algebra_representation wikiPageWikiLink Kazhdan–Lusztig_conjectures.
- Lie_algebra_representation wikiPageWikiLink Kazhdan–Lusztig_polynomial.
- Lie_algebra_representation wikiPageWikiLink Lie_algebra.
- Lie_algebra_representation wikiPageWikiLink Lie_algebra_homomorphism.
- Lie_algebra_representation wikiPageWikiLink Lie_group.
- Lie_algebra_representation wikiPageWikiLink Lie_superalgebra.
- Lie_algebra_representation wikiPageWikiLink Mathematics.
- Lie_algebra_representation wikiPageWikiLink Matrix_(mathematics).
- Lie_algebra_representation wikiPageWikiLink Maximal_compact_subgroup.
- Lie_algebra_representation wikiPageWikiLink PBW_theorem.
- Lie_algebra_representation wikiPageWikiLink Poincaré–Birkhoff–Witt_theorem.
- Lie_algebra_representation wikiPageWikiLink Poisson_algebra.
- Lie_algebra_representation wikiPageWikiLink Poisson_superalgebra.
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- Lie_algebra_representation wikiPageWikiLink Pushforward_(differential).
- Lie_algebra_representation wikiPageWikiLink Quillens_lemma.
- Lie_algebra_representation wikiPageWikiLink Quotient_ring.
- Lie_algebra_representation wikiPageWikiLink Reductive_Lie_algebra.
- Lie_algebra_representation wikiPageWikiLink Regular_representation.
- Lie_algebra_representation wikiPageWikiLink Representation_of_Lie_groups.
- Lie_algebra_representation wikiPageWikiLink Representation_of_a_Lie_group.
- Lie_algebra_representation wikiPageWikiLink Representation_of_a_Lie_superalgebra.
- Lie_algebra_representation wikiPageWikiLink Representation_theory.
- Lie_algebra_representation wikiPageWikiLink Ring_(mathematics).
- Lie_algebra_representation wikiPageWikiLink Root_system.
- Lie_algebra_representation wikiPageWikiLink Semisimple_Lie_algebra.
- Lie_algebra_representation wikiPageWikiLink Semisimple_module.
- Lie_algebra_representation wikiPageWikiLink Sesquilinear.
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- Lie_algebra_representation wikiPageWikiLink Simply_connected.
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- Lie_algebra_representation wikiPageWikiLink SuperJacobi_identity.
- Lie_algebra_representation wikiPageWikiLink Tangent_space.
- Lie_algebra_representation wikiPageWikiLink Tensor_algebra.
- Lie_algebra_representation wikiPageWikiLink Trans._Amer._Math._Soc..
- Lie_algebra_representation wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Lie_algebra_representation wikiPageWikiLink Unital_algebra.
- Lie_algebra_representation wikiPageWikiLink Universal_cover.
- Lie_algebra_representation wikiPageWikiLink Universal_enveloping_algebra.
- Lie_algebra_representation wikiPageWikiLink Vector_space.
- Lie_algebra_representation wikiPageWikiLink Verma_module.
- Lie_algebra_representation wikiPageWikiLink Weight_(representation_theory).
- Lie_algebra_representation wikiPageWikiLink Weyls_complete_reducibility_theorem.
- Lie_algebra_representation wikiPageWikiLink Weyls_theorem_on_complete_reducibility.
- Lie_algebra_representation wikiPageWikiLink Whiteheads_lemma_(Lie_algebras).
- Lie_algebra_representation wikiPageWikiLinkText "Lie algebra representation".
- Lie_algebra_representation wikiPageWikiLinkText "Lie algebra representation#Finite-dimensional representations of semisimple Lie algebras".
- Lie_algebra_representation wikiPageWikiLinkText "Lie algebra".
- Lie_algebra_representation wikiPageWikiLinkText "Lie".
- Lie_algebra_representation wikiPageWikiLinkText "completely reducible".
- Lie_algebra_representation wikiPageWikiLinkText "finite-dimensional representations of semisimple Lie algebras".
- Lie_algebra_representation wikiPageWikiLinkText "infinitesimal representations".
- Lie_algebra_representation wikiPageWikiLinkText "representation of the Lie algebra".
- Lie_algebra_representation wikiPageWikiLinkText "representation theory of the Lie algebra".
- Lie_algebra_representation wikiPageWikiLinkText "representation theory".
- Lie_algebra_representation wikiPageWikiLinkText "representation".
- Lie_algebra_representation wikiPageWikiLinkText "representations".
- Lie_algebra_representation hasPhotoCollection Lie_algebra_representation.
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