|
gptkbp:instanceOf
|
gptkb:group_of_people
gptkb:Lie_group
|
|
gptkbp:centralTo
|
cyclic group of order 3
|
|
gptkbp:compact
|
true
|
|
gptkbp:defines
|
group of 3x3 complex matrices with determinant 1
|
|
gptkbp:determinant
|
1
|
|
gptkbp:dimensions
|
8
|
|
gptkbp:field
|
C
complex numbers
|
|
gptkbp:fullName
|
gptkb:Special_Linear_Group_of_3x3_Complex_Matrices
|
|
gptkbp:hasBorelSubgroup
|
true
|
|
gptkbp:hasConnection
|
true
|
|
gptkbp:hasMaximalTorus
|
true
|
|
gptkbp:hasSubgroup
|
gptkb:GL(3,C)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
SL(3,C)
|
|
gptkbp:isAlgebraicGroup
|
C
|
|
gptkbp:isChevalleyGroup
|
true
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isQuotientOf
|
gptkb:PSL(3,C)
|
|
gptkbp:isReductive
|
true
|
|
gptkbp:isSemisimple
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:isSplit
|
true
|
|
gptkbp:Lie_algebra
|
gptkb:sl(3,C)
|
|
gptkbp:matrixSize
|
3x3
|
|
gptkbp:maximalCompactSubgroup
|
gptkb:SU(3)
|
|
gptkbp:notation
|
gptkb:SL(3,ℂ)
|
|
gptkbp:orderOfCenter
|
3
|
|
gptkbp:rank
|
2
|
|
gptkbp:relatedGroup
|
gptkb:Lie_group
non-abelian
connected
non-compact
|
|
gptkbp:relatedTo
|
gptkb:SL(2,C)
gptkb:SU(3)
gptkb:GL(3,C)
gptkb:PSL(3,C)
|
|
gptkbp:structure
|
gptkb:algebraic_geometry
gptkb:Lie_group
|
|
gptkbp:type
|
gptkb:A2
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:theoretical_physics
differential geometry
number theory
representation theory
|
|
gptkbp:Weyl_group
|
S3
|
|
gptkbp:bfsParent
|
gptkb:SU(3)
|
|
gptkbp:bfsLayer
|
6
|