Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
complex projective line
|
| gptkbp:centralTo |
trivial
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
Projective General Linear Group of 2x2 matrices over the complex numbers
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasSubgroup |
gptkb:PSL(2,_C)
Borel subgroup diagonal matrices modulo scalars |
| https://www.w3.org/2000/01/rdf-schema#label |
PGL(2, C)
|
| gptkbp:isAlgebraicGroup |
true
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,_C)
|
| gptkbp:isQuotientOf |
gptkb:GL(2,_C)
center of GL(2, C) |
| gptkbp:isReductive |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:notation |
gptkb:PGL(2,_C)
PGL_2(C) PGL(2,\\mathbb{C}) |
| gptkbp:relatedTo |
gptkb:Möbius_transformations
Kleinian groups hyperbolic 3-manifolds automorphism group of the Riemann sphere |
| gptkbp:bfsParent |
gptkb:PSL(2,_C)
|
| gptkbp:bfsLayer |
7
|