Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:actsOn |
gptkb:Minkowski_space
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
6
|
| gptkbp:fullName |
Proper orthochronous Lorentz group
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasPhysicalInterpretation |
Lorentz transformations preserving orientation and time direction
|
| gptkbp:hasSubgroup |
SO(1,3)
|
| gptkbp:isConnectedComponentOf |
SO(1,3)
|
| gptkbp:isDoubleCoverOf |
gptkb:SO(1,3)^+
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,C)
|
| gptkbp:isSimple |
true
|
| gptkbp:isUniversalCover |
gptkb:SL(2,C)
|
| gptkbp:Lie_algebra |
so(1,3)
|
| gptkbp:numberOfConnectedComponents |
1
|
| gptkbp:preserves |
gptkb:Minkowski_metric
|
| gptkbp:realForm |
SO(4,C)
|
| gptkbp:usedIn |
gptkb:general_relativity
gptkb:special_relativity gptkb:theoretical_physics |
| gptkbp:bfsParent |
gptkb:proper_Lorentz_group
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(1,3)^+
|