projective linear group PSL(2,C)

GPTKB entity

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 hyperbolic 3-space
gptkbp:category	gptkb:algebraic_geometry gptkb:group_of_people gptkb:semisimple_Lie_group gptkb:Lie_group non-compact Lie group connected Lie group
gptkbp:centralTo	trivial group
gptkbp:definedIn	SL(2,C) modulo its center
gptkbp:dimensions	3 complex dimensions
gptkbp:field	complex numbers
gptkbp:fullName	gptkb:Projective_Special_Linear_Group_of_2x2_matrices_over_the_complex_numbers
gptkbp:hasSubgroup	gptkb:PSL(2,R) gptkb:PSL(2,Z)
https://www.w3.org/2000/01/rdf-schema#label	projective linear group 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:relatedTo	gptkb:Lorentz_group gptkb:Kleinian_group gptkb:Möbius_transformations conformal transformations modular group fractional linear transformations automorphism group of the Riemann sphere
gptkbp:universalCover	gptkb:SL(2,C) SO^+(3,1)
gptkbp:usedIn	gptkb:algebraic_geometry gptkb:hyperbolic_geometry complex analysis Kleinian groups theory of Riemann surfaces
gptkbp:bfsParent	gptkb:SL(2,C)
gptkbp:bfsLayer	7