Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
gptkb:Riemann_sphere
complex projective line |
| gptkbp:centralTo |
trivial
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
3 complex dimensions
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
Projective Special Linear Group of 2x2 complex matrices
|
| gptkbp:hasConnection |
true
|
| https://www.w3.org/2000/01/rdf-schema#label |
PSL(2,ℂ)
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isNoncompactLieGroup |
true
|
| gptkbp:isomorphicTo |
gptkb:Möbius_group
|
| gptkbp:isProjectiveGroup |
true
|
| gptkbp:isQuotientOf |
gptkb:SL(2,ℂ)
true center of SL(2,ℂ) |
| gptkbp:isSimple |
true
|
| gptkbp:isSpecialLinearGroup |
true
|
| gptkbp:notation |
gptkb:PSL(2,C)
|
| gptkbp:order |
infinite
|
| gptkbp:realForm |
gptkb:PSL(2,ℝ)
|
| gptkbp:universalCover |
gptkb:SO(3,1)^+
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:hyperbolic_geometry complex analysis Kleinian groups theory of Riemann surfaces |
| gptkbp:bfsParent |
gptkb:SL(2,ℂ)
gptkb:quasifuchsian_groups gptkb:PSL(2,ℝ) |
| gptkbp:bfsLayer |
7
|