Projective Special Linear Group of 2x2 matrices over the complex numbers

URI: https://gptkb.org/entity/Projective_Special_Linear_Group_of_2x2_matrices_over_the_complex_numbers
GPTKB entity
Statements (34)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkb:Lie_group
simple group
gptkbp:abbreviation gptkb:PSL(2,_C)
gptkbp:actsOn gptkb:Riemann_sphere
complex projective line
gptkbp:category gptkb:group_of_people
gptkbp:centralTo trivial
trivial group
gptkbp:compact true
gptkbp:dimensions 3
gptkbp:field complex numbers
gptkbp:hasConnection true
gptkbp:hasSubgroup gptkb:PSL(2,_Z)
gptkb:PSL(2,_R)
https://www.w3.org/2000/01/rdf-schema#label Projective Special Linear Group of 2x2 matrices over the complex numbers
gptkbp:isNonAbelian true
gptkbp:isomorphicTo gptkb:Möbius_group
orientation-preserving isometry group of hyperbolic 3-space
gptkbp:isQuotientOf gptkb:SL(2,_C)
center of SL(2, C)
gptkbp:isSimple true
gptkbp:Lie_algebra gptkb:sl(2,_C)
gptkbp:notation gptkb:PSL(2,_C)
gptkbp:order infinite
gptkbp:relatedTo gptkb:SL(2,_C)
gptkbp:universalCover gptkb:SL(2,_C)
gptkbp:usedIn gptkb:algebraic_geometry
gptkb:hyperbolic_geometry
complex analysis
Kleinian groups
theory of Riemann surfaces
gptkbp:bfsParent gptkb:PSL(2,_C)
gptkbp:bfsLayer 7