Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
10
|
| gptkbp:doubleCover |
gptkb:Spin(1,4)
|
| gptkbp:fullName |
Special orthogonal group in 1+4 dimensions
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasMaximalSubgroup |
SO(4)
|
| gptkbp:hasSubgroup |
O(1,4)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(1,4)
|
| gptkbp:isConnectedComponentOf |
O(1,4)
|
| gptkbp:isometryGroupOf |
gptkb:de_Sitter_spacetime
gptkb:4-dimensional_de_Sitter_space |
| gptkbp:isRealLieGroup |
true
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(1,4)
|
| gptkbp:preserves |
quadratic form of signature (1,4)
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
gptkb:SO(5,ℂ)
|
| gptkbp:relatedTo |
gptkb:Lorentz_group
gptkb:SO(2,3) gptkb:SO(5) |
| gptkbp:usedIn |
gptkb:cosmology
gptkb:general_relativity gptkb:theoretical_physics |
| gptkbp:bfsParent |
gptkb:de_Sitter_spacetime
|
| gptkbp:bfsLayer |
6
|