Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group orthogonal group |
| gptkbp:actsOn |
gptkb:Minkowski_space
|
| gptkbp:compact |
true
|
| gptkbp:contains |
special orthogonal group SO(1,3)
|
| gptkbp:dimensions |
6
|
| gptkbp:field |
real numbers
|
| gptkbp:hasComponent |
gptkb:improper_Lorentz_group
gptkb:proper_Lorentz_group |
| gptkbp:hasConnectedComponent |
gptkb:SO^+(1,3)
|
| gptkbp:hasCoveringGroup |
Spin(1,3)
|
| gptkbp:hasSubgroup |
general linear group GL(4, R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
orthogonal group O(1,3)
|
| gptkbp:isometryGroupOf |
gptkb:Minkowski_metric
hyperbolic 3-space |
| gptkbp:Lie_algebra |
so(1,3)
|
| gptkbp:notation |
O(1,3)
|
| gptkbp:order |
infinite
|
| gptkbp:preserves |
determinant ±1
orientation (in some cases) quadratic form of signature (1,3) |
| gptkbp:realForm |
orthogonal group O(4, C)
|
| gptkbp:relatedTo |
gptkb:Lorentz_group
|
| gptkbp:usedIn |
gptkb:special_relativity
|
| gptkbp:bfsParent |
gptkb:improper_Lorentz_group
|
| gptkbp:bfsLayer |
7
|