Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical group
|
| gptkbp:covers |
gptkb:SO(n)
|
| gptkbp:definedIn |
gptkb:Complex_numbers
Real numbers |
| gptkbp:dimensions |
n(n-1)/2
|
| gptkbp:doubleCoverOf |
gptkb:Special_orthogonal_group
|
| gptkbp:field |
gptkb:Mathematics
|
| gptkbp:hasProperty |
Simply connected
Non-abelian (for n>2) |
| gptkbp:hasSubgroup |
gptkb:Clifford_group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Spin group
|
| gptkbp:introduced |
gptkb:Élie_Cartan
|
| gptkbp:notation |
gptkb:Spin(n)
|
| gptkbp:relatedTo |
gptkb:Lie_group
gptkb:Spinor gptkb:Orthogonal_group Spin manifold |
| gptkbp:universalCover |
gptkb:SO(n)
|
| gptkbp:usedIn |
gptkb:geometry
gptkb:Topology gptkb:Representation_theory gptkb:Theoretical_physics |
| gptkbp:bfsParent |
gptkb:SO(n,_R)
|
| gptkbp:bfsLayer |
6
|