(g,K)-module (original) (raw)
In mathematics, more specifically in the representation theory of reductive Lie groups, a -module is an algebraic object, first introduced by Harish-Chandra, used to deal with continuous infinite-dimensional representations using algebraic techniques. Harish-Chandra showed that the study of irreducible unitary representations of a real reductive Lie group, G, could be reduced to the study of irreducible -modules, where is the Lie algebra of G and K is a maximal compact subgroup of G.
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| dbo:abstract | In mathematics, more specifically in the representation theory of reductive Lie groups, a -module is an algebraic object, first introduced by Harish-Chandra, used to deal with continuous infinite-dimensional representations using algebraic techniques. Harish-Chandra showed that the study of irreducible unitary representations of a real reductive Lie group, G, could be reduced to the study of irreducible -modules, where is the Lie algebra of G and K is a maximal compact subgroup of G. (en) |
| dbo:wikiPageExternalLink | https://archive.org/details/realreductivegro0000wall |
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| dbo:wikiPageRevisionID | 1030620389 (xsd:integer) |
| dbo:wikiPageWikiLink | dbr:Vector_space dbr:Lie_algebra_representation dbc:Representation_theory_of_Lie_groups dbr:Mathematics dbr:General_linear_group dbr:Lie_algebra dbr:Maximal_compact_subgroup dbr:American_Mathematical_Society dbr:Harish-Chandra dbr:Adjoint_representation_of_a_Lie_group dbr:Group_representation dbr:Unitary_representation dbr:Topological_space dbr:Representation_theory_of_Lie_groups dbr:Reductive_Lie_group |
| dbp:wikiPageUsesTemplate | dbt:Citation dbt:Reflist |
| dcterms:subject | dbc:Representation_theory_of_Lie_groups |
| rdfs:comment | In mathematics, more specifically in the representation theory of reductive Lie groups, a -module is an algebraic object, first introduced by Harish-Chandra, used to deal with continuous infinite-dimensional representations using algebraic techniques. Harish-Chandra showed that the study of irreducible unitary representations of a real reductive Lie group, G, could be reduced to the study of irreducible -modules, where is the Lie algebra of G and K is a maximal compact subgroup of G. (en) |
| rdfs:label | (g,K)-module (en) |
| owl:sameAs | freebase:(g,K)-module wikidata:(g,K)-module https://global.dbpedia.org/id/4D8Ef |
| prov:wasDerivedFrom | wikipedia-en:(g,K)-module?oldid=1030620389&ns=0 |
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| is foaf:primaryTopic of | wikipedia-en:(g,K)-module |