Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:actsOn |
R^4
|
| gptkbp:centralTo |
{±I}
|
| gptkbp:compact |
true
|
| gptkbp:consistsOf |
4x4 orthogonal matrices
|
| gptkbp:determinant |
±1
|
| gptkbp:dimensions |
6
|
| gptkbp:fullName |
Orthogonal group in 4 dimensions
|
| gptkbp:hasComponent |
SO(4)
|
| gptkbp:hasConnection |
false
|
| gptkbp:hasSubgroup |
GL(4, R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
O(4)
|
| gptkbp:isomorphicTo |
(SU(2) × SU(2))/Z2
|
| gptkbp:numberOfConnectedComponents |
2
|
| gptkbp:preserves |
Euclidean metric
|
| gptkbp:realForm |
O(4, C)
|
| gptkbp:bfsParent |
gptkb:4-dimensional_Euclidean_space
|
| gptkbp:bfsLayer |
7
|