PSL(2, C)

GPTKB entity

Statements (51)
Predicate Object
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