Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
gptkb:Z/2Z
|
| gptkbp:compact |
true
|
| gptkbp:dimensions |
3
|
| gptkbp:doubleCoverOf |
gptkb:SO(3)
|
| gptkbp:field |
real numbers
|
| gptkbp:fundamentalGroup |
trivial
|
| https://www.w3.org/2000/01/rdf-schema#label |
Spin(3)
|
| gptkbp:isomorphicTo |
gptkb:SU(2)
|
| gptkbp:Lie_algebra |
so(3)
|
| gptkbp:realization |
unit quaternions
|
| gptkbp:relatedGroup |
orthogonal group
|
| gptkbp:relatedTo |
gptkb:Lie_group
gptkb:rotation_group orthogonal group |
| gptkbp:representationTheory |
quaternionic representations
|
| gptkbp:simplyConnected |
true
|
| gptkbp:universalCover |
gptkb:SO(3)
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:theoretical_physics quantum mechanics |
| gptkbp:bfsParent |
gptkb:SU(2)
|
| gptkbp:bfsLayer |
6
|