|
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)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
PSL(2,C)
|
|
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:monodromy_groups
complex analysis
differential geometry
geometric group theory
mathematical physics
modular forms
number theory
representation theory
knot theory
3-manifold theory
automorphic forms
modular group
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:SL(2,C)
gptkb:proper_Lorentz_group
gptkb:PSL(2,R)
|
|
gptkbp:bfsLayer
|
7
|