|
gptkbp:instanceOf
|
gptkb:group_of_people
gptkb:Lie_group
|
|
gptkbp:actsOn
|
gptkb:Möbius_transformations
gptkb:Riemann_sphere
complex projective line
|
|
gptkbp:centerOfSL(2,C)
|
{±I}
|
|
gptkbp:compact
|
true
|
|
gptkbp:definedIn
|
SL(2,C) modulo its center
|
|
gptkbp:dimensions
|
3 complex dimensions
|
|
gptkbp:fullName
|
Projective Special Linear Group of 2x2 complex matrices
|
|
gptkbp:hasConnection
|
true
|
|
gptkbp:hasSubgroup
|
gptkb:PSL(2,R)
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isomorphicTo
|
gptkb:Aut(P^1(C))
orientation-preserving isometries of hyperbolic 3-space
|
|
gptkbp:isQuotientOf
|
gptkb:SL(2,C)
{±I}
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:quantum_field_theory
gptkb:Galois_theory
gptkb:conformal_geometry
gptkb:hyperbolic_geometry
gptkb:string_theory
gptkb:Teichmüller_theory
gptkb:Fuchsian_groups
gptkb:modular_group
gptkb:monodromy_groups
complex analysis
differential geometry
geometric group theory
mathematical physics
modular forms
number theory
representation theory
knot theory
3-manifold theory
automorphic forms
moduli spaces
Kleinian groups
arithmetic groups
complex dynamics
mapping class groups
quasiconformal mappings
theory of Riemann surfaces
holomorphic dynamics
lattices in Lie groups
discrete subgroups
|
|
gptkbp:bfsParent
|
gptkb:PSL(2,R)
|
|
gptkbp:bfsLayer
|
7
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
PSL(2,C)
|