About: Adjoint representation of a Lie algebra

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rdf:type	yago:WikicatLieGroups yago:Abstraction100002137 yago:Group100031264
rdfs:label	Adjoint representation of a Lie algebra (en) リー代数の随伴表現 (ja) Присоединённое представление алгебры Ли (ru) Representação Adjunta (álgebra de Lie) (pt) Приєднане представлення алгебри Лі (uk)
rdfs:comment	リー代数の随伴表現（リーだいすうのずいはんひょうげん、英: adjoint representation of a Lie algebra）とは、リー代数の交換子を用いて定義されるリー代数からへの準同型写像のことをいう。 (ja) Em matemática, o endomorfismo adjunto (ou ação adjunta} é um homomorfismo das álgebras de Lie que desempenha um papel fundamental no desenvolvimento da teoria das álgebras de Lie. Dado um elemento de uma álgebra de Lie , define-se a ação adjunta de em como o mapa com para todo em . (pt) Присоединённым представлением алгебры Ли называется линейное представление алгебры в модуле , действующее по формуле где ― операция в алгебре . (ru)
Wikipage page ID	1449627 (xsd:integer)
Wikipage revision ID	796216509 (xsd:integer)
Link from a Wikipage to another Wikipage	Adjoint representation
Wikipage redirect	Adjoint representation
sameAs	Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra Adjoint representation of a Lie algebra
dbp:wikiPageUsesTemplate	dbt:R_from_merge dbt:R_to_section
has abstract	リー代数の随伴表現（リーだいすうのずいはんひょうげん、英: adjoint representation of a Lie algebra）とは、リー代数の交換子を用いて定義されるリー代数からへの準同型写像のことをいう。 (ja) Em matemática, o endomorfismo adjunto (ou ação adjunta} é um homomorfismo das álgebras de Lie que desempenha um papel fundamental no desenvolvimento da teoria das álgebras de Lie. Dado um elemento de uma álgebra de Lie , define-se a ação adjunta de em como o mapa com para todo em . (pt) Присоединённым представлением алгебры Ли называется линейное представление алгебры в модуле , действующее по формуле где ― операция в алгебре . (ru)
prov:wasDerivedFrom	wikipedia-en:Adjoint_representation_of_a_Lie_algebra?oldid=796216509&ns=0
page length (characters) of wiki page	110 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Adjoint_representation_of_a_Lie_algebra
is Link from a Wikipage to another Wikipage of	Engel's theorem Derivative of the exponential map Representation theory of the Lorentz group Derivation (differential algebra) Index of a Lie algebra Integrable module Jacobi identity Lie's theorem Lie algebra-valued differential form Lie group–Lie algebra correspondence Commutator Quadratic Lie algebra Glossary of Lie groups and Lie algebras Lie algebra Lie algebra extension Magnus expansion Structure constants Baker–Campbell–Hausdorff formula G2 (mathematics) E8 (mathematics) Graded Lie algebra Kac–Moody algebra List of Lie groups topics Universal enveloping algebra Tensor product Coadjoint representation Weight (representation theory) Casimir element Root system Solvable Lie algebra F4 (mathematics) List of things named after Sophus Lie Semisimple Lie algebra Solvmanifold
is foaf:primaryTopic of	wikipedia-en:Adjoint_representation_of_a_Lie_algebra

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