gptkbp:instanceOf
|
gptkb:group_of_people
gptkb:Lie_group
|
gptkbp:actsOn
|
gptkb:Möbius_transformations
gptkb:Riemann_sphere
complex projective line
|
gptkbp:centralTo
|
trivial
|
gptkbp:compact
|
true
|
gptkbp:dimensions
|
3
|
gptkbp:field
|
complex numbers
|
gptkbp:fullName
|
gptkb:Projective_Special_Linear_Group_of_2x2_matrices_over_the_complex_numbers
|
gptkbp:hasConnection
|
true
|
gptkbp:hasSubgroup
|
gptkb:PGL(2,_C)
gptkb:PSL(2,_R)
|
https://www.w3.org/2000/01/rdf-schema#label
|
PSL(2, C)
|
gptkbp:isNonAbelian
|
true
|
gptkbp:isomorphicTo
|
orientation-preserving isometry group of hyperbolic 3-space
|
gptkbp:isQuotientOf
|
gptkb:SL(2,_C)
center of SL(2, C)
|
gptkbp:isSimple
|
true
|
gptkbp:order
|
infinite
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:quantum_field_theory
gptkb:topology
gptkb:Galois_theory
gptkb:conformal_geometry
gptkb:hyperbolic_geometry
gptkb:string_theory
gptkb:Teichmüller_theory
gptkb:Fuchsian_groups
gptkb:monodromy_groups
complex analysis
differential geometry
dynamical systems
geometric group theory
mathematical physics
modular forms
number theory
representation theory
3-manifold theory
automorphic forms
moduli spaces
complex dynamics
mapping class groups
quasiconformal mappings
theory of Riemann surfaces
holomorphic dynamics
Kleinian group theory
monodromy representations
modular group theory
|
gptkbp:bfsParent
|
gptkb:Kleinian_group
|
gptkbp:bfsLayer
|
6
|