| dbo:abstract |
In mathematics, restricted root systems, sometimes called relative root systems, are the root systems associated with a symmetric space. The associated finite reflection group is called the restricted Weyl group. The restricted root system of a symmetric space and its dual can be identified. For symmetric spaces of noncompact type arising as homogeneous spaces of a semisimple Lie group, the restricted root system and its Weyl group are related to the Iwasawa decomposition of the Lie group. (en) 리 군론에서 제한근(制限根, 영어: restricted root)은 리 대수에서, 극대 부분 콤팩트 리 대수의 직교 여공간에 대한 고윳값들의 벡터이다. (ko) |
| dbo:wikiPageExternalLink |
https://books.google.com/books%3Fid=t8WrPAAACAAJ |
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38943054 (xsd:integer) |
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1909 (xsd:nonNegativeInteger) |
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dbr:Iwasawa_decomposition dbc:Lie_algebras dbr:Mathematics dbr:Symmetric_space dbc:Lie_groups dbr:Graduate_Texts_in_Mathematics dbr:Root_system dbr:Satake_diagram |
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dbt:Citation dbt:Short_description dbt:Mathematics-stub dbt:Lie_groups |
| dct:subject |
dbc:Lie_algebras dbc:Lie_groups |
| gold:hypernym |
dbr:Systems |
| rdf:type |
dbo:Place yago:WikicatLieAlgebras yago:WikicatLieGroups yago:Abstraction100002137 yago:Algebra106012726 yago:Cognition100023271 yago:Content105809192 yago:Discipline105996646 yago:Group100031264 yago:KnowledgeDomain105999266 yago:Mathematics106000644 yago:PsychologicalFeature100023100 yago:PureMathematics106003682 yago:Science105999797 |
| rdfs:comment |
In mathematics, restricted root systems, sometimes called relative root systems, are the root systems associated with a symmetric space. The associated finite reflection group is called the restricted Weyl group. The restricted root system of a symmetric space and its dual can be identified. For symmetric spaces of noncompact type arising as homogeneous spaces of a semisimple Lie group, the restricted root system and its Weyl group are related to the Iwasawa decomposition of the Lie group. (en) 리 군론에서 제한근(制限根, 영어: restricted root)은 리 대수에서, 극대 부분 콤팩트 리 대수의 직교 여공간에 대한 고윳값들의 벡터이다. (ko) |
| rdfs:label |
제한근 (ko) Restricted root system (en) |
| owl:sameAs |
freebase:Restricted root system yago-res:Restricted root system wikidata:Restricted root system dbpedia-ko:Restricted root system https://global.dbpedia.org/id/fNph |
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wikipedia-en:Restricted_root_system?oldid=1091186870&ns=0 |
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wikipedia-en:Restricted_root_system |
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dbr:Relative_root_system dbr:Restricted_Weyl_group |
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dbr:Hermitian_symmetric_space dbr:Relative_root_system dbr:Restricted_Weyl_group |
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wikipedia-en:Restricted_root_system |