|
gptkbp:instanceOf
|
gptkb:group_of_people
gptkb:symmetry
gptkb:Lie_group
|
|
gptkbp:actsOn
|
gptkb:n-dimensional_Minkowski_space
|
|
gptkbp:compact
|
true
|
|
gptkbp:definedIn
|
preserving quadratic form of signature (1, n-1)
|
|
gptkbp:determinant
|
1
|
|
gptkbp:dimensions
|
n(n-1)/2
|
|
gptkbp:hasConnection
|
false
|
|
gptkbp:hasDoubleCover
|
Spin(1, n-1)
|
|
gptkbp:hasFourComponents
|
true
|
|
gptkbp:hasSubgroup
|
O(1, n-1)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Lorentz group SO(1, n-1)
|
|
gptkbp:isConnectedComponentOf
|
O(1, n-1)
|
|
gptkbp:isGeneratedBy
|
rotations
boosts
|
|
gptkbp:isMaximalCompactSubgroup
|
SO(n-1)
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isSemisimple
|
true
|
|
gptkbp:isSimple
|
n > 2
|
|
gptkbp:isSpecialOrthogonalGroup
|
true
|
|
gptkbp:Lie_algebra
|
so(1, n-1)
|
|
gptkbp:preserves
|
gptkb:Minkowski_metric
|
|
gptkbp:realForm
|
gptkb:SO(n,_C)
|
|
gptkbp:relatedTo
|
gptkb:Poincaré_group
gptkb:anti-de_Sitter_group
gptkb:conformal_group
gptkb:de_Sitter_group
|
|
gptkbp:universalCover
|
Spin(1, n-1)
|
|
gptkbp:usedFor
|
describing spacetime symmetries
|
|
gptkbp:usedIn
|
gptkb:general_relativity
gptkb:quantum_field_theory
gptkb:special_relativity
|
|
gptkbp:bfsParent
|
gptkb:special_orthogonal_group_SO(n)
|
|
gptkbp:bfsLayer
|
6
|