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In mathematical group theory, the root datum of a connected split reductive algebraic group over a field is a generalization of a root system that determines the group up to isomorphism. They were introduced by Michel Demazure in SGA III, published in 1970.

Attributes	Values
rdf:type	yago:Abstraction100002137 yago:Group100031264 yago:WikicatAlgebraicGroups
rdfs:label	Root datum (en) 根資料 (zh)
rdfs:comment	In mathematical group theory, the root datum of a connected split reductive algebraic group over a field is a generalization of a root system that determines the group up to isomorphism. They were introduced by Michel Demazure in SGA III, published in 1970. (en) 在數學的代數群領域中，根資料（原文為法文donnée radicielle）是一個連通、分裂、可簡約代數群的不變量。對於可簡約代數群，根資料是比根系更精細的不變量，若假設連通性，則它決定了代數群的結構（至多差一個同構）。根資料的定義首見於M. Demazure在SGA III中的闡述，於1970年出版。 (zh)
dcterms:subject	Algebraic groups Representation theory
Wikipage page ID	6825924 (xsd:integer)
Wikipage revision ID	975063220 (xsd:integer)
Link from a Wikipage to another Wikipage	Algebraic group Algebraically closed field Dynkin diagram Perfect pairing Algebraic groups Langlands dual group Rank (linear algebra) Representation theory T. A. Springer Reductive group Group theory Michel Demazure Root system Grothendieck's Séminaire de géométrie algébrique
Link from a Wikipage to an external page	https://web.archive.org/web/20011126072304/http:/modular.fas.harvard.edu/sga/sga/3-3/index.html http://www.ams.org/online_bks/pspum331/ http://www.ams.org/online_bks/pspum331/pspum331-ptI-1.pdf
sameAs	Root datum Root datum Root datum Root datum Root datum
dbp:wikiPageUsesTemplate	dbt:Isbn
has abstract	In mathematical group theory, the root datum of a connected split reductive algebraic group over a field is a generalization of a root system that determines the group up to isomorphism. They were introduced by Michel Demazure in SGA III, published in 1970. (en) 在數學的代數群領域中，根資料（原文為法文donnée radicielle）是一個連通、分裂、可簡約代數群的不變量。對於可簡約代數群，根資料是比根系更精細的不變量，若假設連通性，則它決定了代數群的結構（至多差一個同構）。根資料的定義首見於M. Demazure在SGA III中的闡述，於1970年出版。 (zh)
gold:hypernym	Generalization
prov:wasDerivedFrom	wikipedia-en:Root_datum?oldid=975063220&ns=0
page length (characters) of wiki page	3521 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Root_datum
is Link from a Wikipage to another Wikipage of	Lie theory Glossary of Lie groups and Lie algebras Deligne–Lusztig theory Langlands dual group Reductive group Michel Demazure Root system Root data
is Wikipage redirect of	Root data
is foaf:primaryTopic of	wikipedia-en:Root_datum

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