|
gptkbp:instanceOf
|
gptkb:group_of_people
gptkb:Lie_group
|
|
gptkbp:actsOn
|
C^2
|
|
gptkbp:centralTo
|
scalar matrices with nonzero complex entries
|
|
gptkbp:compact
|
true
|
|
gptkbp:contains
|
gptkb:SL(2,C)
|
|
gptkbp:containsElement
|
2x2 invertible complex matrices
|
|
gptkbp:determinant
|
gptkb:C*
nonzero
|
|
gptkbp:dimensions
|
4
|
|
gptkbp:field
|
complex numbers
|
|
gptkbp:fullName
|
general linear group of 2x2 invertible complex matrices
|
|
gptkbp:hasConnection
|
true
|
|
gptkbp:hasMaximalSubgroup
|
gptkb:U(2)
|
|
gptkbp:hasSubgroup
|
gptkb:SL(2,C)
gptkb:GL(n,C)
upper triangular matrices
diagonal matrices
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
GL(2,C)
|
|
gptkbp:identityElement
|
2x2 identity matrix
|
|
gptkbp:isAlgebraicGroup
|
true
|
|
gptkbp:isComplexLieGroup
|
true
|
|
gptkbp:isLieGroupOver
|
C
|
|
gptkbp:isMatrixGroup
|
true
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isQuotientOf
|
gptkb:PGL(2,C)
|
|
gptkbp:isReductive
|
true
|
|
gptkbp:isSemisimple
|
false
|
|
gptkbp:isSimple
|
false
|
|
gptkbp:isSolvable
|
false
|
|
gptkbp:notation
|
gptkb:GL(2,C)
|
|
gptkbp:operator
|
matrix multiplication
|
|
gptkbp:order
|
infinite
|
|
gptkbp:realForm
|
gptkb:GL(2,R)
|
|
gptkbp:bfsParent
|
gptkb:U(2)
|
|
gptkbp:bfsLayer
|
7
|