http://dbpedia.org/ontology/abstract
|
In mathematics, in the representation theo … In mathematics, in the representation theory of algebraic groups, an observable subgroup is an algebraic subgroup of a linear algebraic group whose every finite-dimensional rational representation arises as the restriction to the subgroup of a finite-dimensional rational representation of the whole group. An equivalent formulation, in case the base field is closed, is that K is an observable subgroup of G if and only if the quotient variety G/K is a quasi-affine variety. Some basic facts about observable subgroups:
* Every normal algebraic subgroup of an algebraic group is observable.
* Every observable subgroup of an observable subgroup is observable.p of an observable subgroup is observable.
|
http://dbpedia.org/ontology/wikiPageExternalLink
|
https://www.jstor.org/stable/2373191 +
|
http://dbpedia.org/ontology/wikiPageID
|
5784200
|
http://dbpedia.org/ontology/wikiPageLength
|
934
|
http://dbpedia.org/ontology/wikiPageRevisionID
|
808335481
|
http://dbpedia.org/ontology/wikiPageWikiLink
|
http://dbpedia.org/resource/Normal_subgroup +
, http://dbpedia.org/resource/Mathematics +
, http://dbpedia.org/resource/Representation_theory +
, http://dbpedia.org/resource/Subgroup +
, http://dbpedia.org/resource/Rational_representation +
, http://dbpedia.org/resource/Algebraic_group +
, http://dbpedia.org/resource/Category:Representation_theory_of_algebraic_groups +
, http://dbpedia.org/resource/Quasi-affine_variety +
, http://dbpedia.org/resource/Linear_algebraic_group +
|
http://dbpedia.org/property/wikiPageUsesTemplate
|
http://dbpedia.org/resource/Template:Abstract-algebra-stub +
|
http://purl.org/dc/terms/subject
|
http://dbpedia.org/resource/Category:Representation_theory_of_algebraic_groups +
|
http://purl.org/linguistics/gold/hypernym
|
http://dbpedia.org/resource/Subgroup +
|
http://www.w3.org/ns/prov#wasDerivedFrom
|
http://en.wikipedia.org/wiki/Observable_subgroup?oldid=808335481&ns=0 +
|
http://xmlns.com/foaf/0.1/isPrimaryTopicOf
|
http://en.wikipedia.org/wiki/Observable_subgroup +
|
owl:sameAs |
http://rdf.freebase.com/ns/m.0f4d8n +
, http://dbpedia.org/resource/Observable_subgroup +
, https://global.dbpedia.org/id/4t1wz +
, http://www.wikidata.org/entity/Q7075421 +
|
rdf:type |
http://dbpedia.org/ontology/EthnicGroup +
|
rdfs:comment |
In mathematics, in the representation theo … In mathematics, in the representation theory of algebraic groups, an observable subgroup is an algebraic subgroup of a linear algebraic group whose every finite-dimensional rational representation arises as the restriction to the subgroup of a finite-dimensional rational representation of the whole group. An equivalent formulation, in case the base field is closed, is that K is an observable subgroup of G if and only if the quotient variety G/K is a quasi-affine variety. Some basic facts about observable subgroups:me basic facts about observable subgroups:
|
rdfs:label |
Observable subgroup
|