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In mathematics, the finite-dimensional representations of the complex classical Lie groups , , , , ,can be constructed using the general representation theory of semisimple Lie algebras. The groups , , are indeed simple Lie groups, and their finite-dimensional representations coincide with those of their maximal compact subgroups, respectively , , . In the classification of simple Lie algebras, the corresponding algebras are

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rdfs:label	Representations of classical Lie groups (en)
rdfs:comment	In mathematics, the finite-dimensional representations of the complex classical Lie groups , , , , ,can be constructed using the general representation theory of semisimple Lie algebras. The groups , , are indeed simple Lie groups, and their finite-dimensional representations coincide with those of their maximal compact subgroups, respectively , , . In the classification of simple Lie algebras, the corresponding algebras are (en)
dcterms:subject	Representation theory of Lie groups Lie groups
Wikipage page ID	66221186 (xsd:integer)
Wikipage revision ID	1122735444 (xsd:integer)
Link from a Wikipage to another Wikipage	Projective representation Representation theory Representation theory of Lie groups General linear group Littlewood–Richardson rule Simple Lie groups Symplectic group Maximal compact subgroup Dual representation Linear group Lie groups Partition (number theory) Covering group Character theory Hook length formula Special orthogonal group Schur polynomials Tensor representations Orthogonal group Special linear group Unitary group Schur functor Symmetric group Semisimple Lie algebra Young symmetrizer Representation theory of semisimple Lie algebras Tensor representation Lie group representation Classical Lie groups Young diagram Young diagrams Littlewood-Richardson coefficient Spin representations
Link from a Wikipage to an external page	http://wwwmathlabo.univ-poitiers.fr/~maavl/LiE/ http://wwwmathlabo.univ-poitiers.fr/~maavl/LiE/form.html
sameAs	Representations of classical Lie groups Representations of classical Lie groups
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Lie_groups
has abstract	In mathematics, the finite-dimensional representations of the complex classical Lie groups , , , , ,can be constructed using the general representation theory of semisimple Lie algebras. The groups , , are indeed simple Lie groups, and their finite-dimensional representations coincide with those of their maximal compact subgroups, respectively , , . In the classification of simple Lie algebras, the corresponding algebras are However, since the complex classical Lie groups are linear groups, their representations are tensor representations. Each irreducible representation is labelled by a Young diagram, which encodes its structure and properties. (en)
prov:wasDerivedFrom	wikipedia-en:Representations_of_classical_Lie_groups?oldid=1122735444&ns=0
page length (characters) of wiki page	19357 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Representations_of_classical_Lie_groups
is Link from a Wikipage to another Wikipage of	General linear group Littlewood–Richardson rule Symplectic group Orthogonal group Special linear group List of things named after Hermann Weyl Tensor representation
is foaf:primaryTopic of	wikipedia-en:Representations_of_classical_Lie_groups

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