complex orthogonal group SO(4,C)
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:connects |
yes
|
| gptkbp:definedIn |
complex numbers
|
| gptkbp:dimensions |
6
|
| gptkbp:doubleCover |
gptkb:Spin(4,C)
|
| gptkbp:hasSubgroup |
gptkb:GL(4,C)
|
| https://www.w3.org/2000/01/rdf-schema#label |
complex orthogonal group SO(4,C)
|
| gptkbp:isomorphicTo |
gptkb:(SL(2,C)_×_SL(2,C))/Z_2
|
| gptkbp:Lie_algebra |
so(4,C)
|
| gptkbp:nonCompactRealForm |
gptkb:SO(3,1)
|
| gptkbp:orderOfWeylGroup |
8
|
| gptkbp:preserves |
non-degenerate symmetric bilinear form
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
SO(4)
|
| gptkbp:relatedGroup |
orthogonal group
|
| gptkbp:rootSystemType |
gptkb:D2
|
| gptkbp:simplyConnected |
no
|
| gptkbp:bfsParent |
gptkb:Lorentz_group
|
| gptkbp:bfsLayer |
6
|