Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
trivial
|
| gptkbp:component |
gptkb:Z2
|
| gptkbp:connects |
No
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
6
|
| gptkbp:doubleCover |
gptkb:SL(2,C)
|
| gptkbp:fullName |
Special orthogonal group in 3+1 dimensions
|
| gptkbp:hasSubgroup |
gptkb:SO(3)
SO(2,1) |
| https://www.w3.org/2000/01/rdf-schema#label |
SO(3,1)
|
| gptkbp:isometryGroupOf |
gptkb:Minkowski_space
|
| gptkbp:isSimple |
Yes
|
| gptkbp:Lie_algebra |
so(3,1)
|
| gptkbp:matrixRepresentation |
4x4 real matrices
|
| gptkbp:nonCompact |
Yes
|
| gptkbp:preserves |
gptkb:Minkowski_metric
|
| gptkbp:rank |
1
|
| gptkbp:realForm |
SO(4,C)
|
| gptkbp:relatedTo |
gptkb:Lorentz_group
Poincare group |
| gptkbp:signature |
(3,1)
|
| gptkbp:usedIn |
gptkb:special_relativity
gptkb:theoretical_physics representation theory |
| gptkbp:bfsParent |
gptkb:洛伦兹群
|
| gptkbp:bfsLayer |
6
|