Statements (24)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:group_of_people
|
gptkbp:centralTo |
gptkb:GL_1(C)
|
gptkbp:compactSubgroup |
gptkb:U(1)
|
gptkbp:connects |
true
|
gptkbp:containsElement |
nonzero complex numbers
|
gptkbp:describes |
Group of all invertible 1x1 matrices over the complex numbers
|
gptkbp:determinant |
gptkb:identity
|
gptkbp:dimensions |
1
|
gptkbp:fullName |
General Linear Group of degree 1 over the complex numbers
|
gptkbp:hasSubgroup |
GL_n(C) for any n > 1
|
https://www.w3.org/2000/01/rdf-schema#label |
GL 1(C)
|
gptkbp:identityElement |
1
multiplicative inverse |
gptkbp:isNonAbelian |
true
|
gptkbp:isomorphicTo |
gptkb:C*
|
gptkbp:Lie_algebra |
C
|
gptkbp:LieGroup |
true
|
gptkbp:maximalTorus |
itself
|
gptkbp:realForm |
GL_1(R)
|
gptkbp:relatedGroup |
multiplication
|
gptkbp:simplyConnected |
false
|
gptkbp:topologicalGroup |
true
|
gptkbp:bfsParent |
gptkb:GL(1,C)
|
gptkbp:bfsLayer |
7
|