Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:actsOn |
n-dimensional real vector space
Minkowski space (for n=3,4) |
| gptkbp:centralTo |
{I, -I} (for even n)
{I} (for odd n) |
| gptkbp:connectedComponent |
SO^+(2, n-1)
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
(n(n-1))/2
|
| gptkbp:field |
real numbers
|
| gptkbp:fullName |
Special orthogonal group of signature (2, n-1)
|
| gptkbp:hasSubgroup |
O(2, n-1)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(2, n-1)
|
| gptkbp:isSimple |
true (for n > 3)
|
| gptkbp:Lie_algebra |
so(2, n-1)
|
| gptkbp:preserves |
quadratic form of signature (2, n-1)
|
| gptkbp:realForm |
gptkb:SO(n+1,_C)
|
| gptkbp:relatedGroup |
gptkb:group_of_people
orthogonal group |
| gptkbp:relatedTo |
gptkb:Lorentz_group
gptkb:conformal_group pseudo-orthogonal group |
| gptkbp:usedIn |
gptkb:geometry
gptkb:quantum_field_theory gptkb:theoretical_physics gptkb:string_theory |
| gptkbp:bfsParent |
gptkb:anti-de_Sitter_space
|
| gptkbp:bfsLayer |
6
|