Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
gptkb:Z_2_×_Z_2
|
| gptkbp:compact |
true
|
| gptkbp:connects |
true
|
| gptkbp:dimensions |
6
|
| gptkbp:fundamentalGroup |
gptkb:Z_2_×_Z_2
|
| https://www.w3.org/2000/01/rdf-schema#label |
SU(2) × SU(2)
|
| gptkbp:isDirectProductOf |
gptkb:SU(2)
|
| gptkbp:isomorphicTo |
Spin(4)
SO(4) (double cover) |
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
false
|
| gptkbp:Lie_algebra |
su(2) ⊕ su(2)
|
| gptkbp:maximalTorus |
gptkb:U(1)_×_U(1)
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
Spin(4)
|
| gptkbp:relatedTo |
quaternion algebra
rotations in 4 dimensions |
| gptkbp:usedIn |
gptkb:theoretical_physics
representation theory |
| gptkbp:bfsParent |
gptkb:G2_Lie_group
|
| gptkbp:bfsLayer |
7
|