Statements (28)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group simple group |
gptkbp:actsOn |
gptkb:complex_projective_plane
|
gptkbp:centralTo |
trivial
|
gptkbp:compact |
true
|
gptkbp:complexification |
PSL(3,R)
|
gptkbp:dimensions |
8
|
gptkbp:field |
complex numbers
|
gptkbp:fullName |
Projective Special Linear Group of 3x3 matrices over the complex numbers
|
gptkbp:hasConnection |
true
|
https://www.w3.org/2000/01/rdf-schema#label |
PSL(3,C)
|
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
SL(3,C)/Z(SL(3,C))
|
gptkbp:isQuotientOf |
gptkb:SL(3,C)
center of SL(3,C) |
gptkbp:isSimple |
true
|
gptkbp:Lie_algebra |
gptkb:sl(3,C)
|
gptkbp:notation |
gptkb:PSL(3,C)
|
gptkbp:order |
infinite
|
gptkbp:rank |
2
|
gptkbp:realForm |
PSL(3,R)
|
gptkbp:relatedTo |
gptkb:geometry
gptkb:Lie_algebras algebraic groups |
gptkbp:type |
A2 (in Cartan classification)
|
gptkbp:bfsParent |
gptkb:SL(3,C)
|
gptkbp:bfsLayer |
7
|