SO(1,n)

URI: https://gptkb.org/entity/SO(1,n)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:group_of_people gptkb:Lie_group
gptkbp:actsOn	gptkb:n-dimensional_Minkowski_space
gptkbp:centralTo	{I, -I} (for even n)
gptkbp:compact	true
gptkbp:connectedComponent	gptkb:SO^+(1,n)
gptkbp:determinant	1
gptkbp:dimensions	n(n+1)/2
gptkbp:fullName	gptkb:Special_orthogonal_group_of_signature_(1,n)
gptkbp:hasSubgroup	O(1,n)
https://www.w3.org/2000/01/rdf-schema#label	SO(1,n)
gptkbp:isSimple	true (for n > 2)
gptkbp:Lie_algebra	so(1,n)
gptkbp:preserves	gptkb:Lorentzian_metric
gptkbp:realForm	gptkb:SO(n+1,_C)
gptkbp:relatedTo	gptkb:Lorentz_group gptkb:SO(n) gptkb:SO(n+1)
gptkbp:usedIn	gptkb:special_relativity gptkb:theoretical_physics gptkb:hyperbolic_geometry
gptkbp:bfsParent	gptkb:de_Sitter_space
gptkbp:bfsLayer	5