About: SO(8)

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In mathematics, SO(8) is the special orthogonal group acting on eight-dimensional Euclidean space. It could be either a real or complex simple Lie group of rank 4 and dimension 28.

Attributes	Values
rdf:type	yago:WikicatLieGroups yago:Abstraction100002137 yago:Group100031264 Band
rdfs:label	8차원 회전군 (ko) SO(8) (en) SO(8) (ru) SO(8) (uk)
rdfs:comment	In mathematics, SO(8) is the special orthogonal group acting on eight-dimensional Euclidean space. It could be either a real or complex simple Lie group of rank 4 and dimension 28. (en) 리 군론에서 8차원 회전군(八次元回轉群, 영어: eight-dimensional rotation group)은 8차원 유클리드 공간의, 원점을 보존하는 등거리 변환의 군 O(8) 또는 이와 관련된 군들을 말한다. 이는 삼중성(영어: triality)이라는 특별한 대칭을 갖는다. (ko) SO(8) — специальная ортогональная группа восьмимерного евклидова пространства. (ru) SO(8) — спеціальна ортогональна група восьмивимірного евклідового простору. (uk)
foaf:depiction
dcterms:subject	Lie groups
Wikipage page ID	683116 (xsd:integer)
Wikipage revision ID	1070876573 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Moufang identities Non-associativity Versor Dynkin diagram Columbia University Press Mathematics SO(4) General linear group Clifford algebra Octonions Fundamental group Fundamental representation Spin group Symmetry Automorphism G2 (mathematics) Lie groups Cyclic group Euclidean space Outer automorphism group Isotopy of loops Isomorphic Coxeter group Simple Lie group Special orthogonal group Spinor Circle group Group representation D4 (root system) Cartan matrix Semidirect product Root system University of Chicago Press Triality Symmetric group Weyl group Universal cover Simply connected Center of a group Outer automorphism
sameAs	SO(8) SO(8) SO(8) SO(8) SO(8) SO(8) SO(8)
dbp:wikiPageUsesTemplate	dbt:CDD dbt:Citation dbt:Main dbt:Reflist dbt:Short_description dbt:Group_theory_sidebar
thumbnail	wiki-commons:Special:FilePath/Dynkin_diagram_D4.png?width=300
has abstract	In mathematics, SO(8) is the special orthogonal group acting on eight-dimensional Euclidean space. It could be either a real or complex simple Lie group of rank 4 and dimension 28. (en) 리 군론에서 8차원 회전군(八次元回轉群, 영어: eight-dimensional rotation group)은 8차원 유클리드 공간의, 원점을 보존하는 등거리 변환의 군 O(8) 또는 이와 관련된 군들을 말한다. 이는 삼중성(영어: triality)이라는 특별한 대칭을 갖는다. (ko) SO(8) — специальная ортогональная группа восьмимерного евклидова пространства. (ru) SO(8) — спеціальна ортогональна група восьмивимірного евклідового простору. (uk)
gold:hypernym	Group
prov:wasDerivedFrom	wikipedia-en:SO(8)?oldid=1070876573&ns=0
page length (characters) of wiki page	7360 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:SO(8)
is Link from a Wikipage to another Wikipage of	24-cell List of Lie groups topics Supergravity Spin(8) Orthogonal group SO Triality SO8
is Wikipage redirect of	Spin(8)
is Wikipage disambiguates of	SO
is foaf:primaryTopic of	wikipedia-en:SO(8)

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