SO^+(1,3)

URI: https://gptkb.org/entity/SO^+(1,3)
GPTKB entity
Statements (25)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkb:Lie_group
gptkbp:actsOn gptkb:Minkowski_space
gptkbp:alsoKnownAs gptkb:proper_orthochronous_Lorentz_group
gptkbp:centralTo trivial
gptkbp:connects true
gptkbp:contains rotations
boosts
gptkbp:dimensions 6
gptkbp:double_cover gptkb:SL(2,C)
gptkbp:hasSubgroup SO(1,3)
https://www.w3.org/2000/01/rdf-schema#label SO^+(1,3)
gptkbp:is_a_real_Lie_group true
gptkbp:is_a_symmetry_group_of gptkb:special_relativity
gptkbp:is_the_identity_component_of SO(1,3)
gptkbp:isomorphicTo gptkb:PSL(2,C)
gptkbp:Lie_algebra so(1,3)
gptkbp:non-compact true
gptkbp:preserves gptkb:Minkowski_metric
gptkbp:real_rank 1
gptkbp:realForm SO(4,C)
gptkbp:used_in gptkb:theory_of_relativity
gptkbp:bfsParent gptkb:orthochronous_Lorentz_group
gptkb:proper_orthochronous_Lorentz_group
gptkbp:bfsLayer 7