identity component SO^+(1,n)
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:dimensions |
n(n+1)/2
|
| gptkbp:hasSubgroup |
gptkb:SO(1,n)
O(1,n) |
| https://www.w3.org/2000/01/rdf-schema#label |
identity component SO^+(1,n)
|
| gptkbp:is_a_real_Lie_group |
true
|
| gptkbp:is_non-compact |
true
|
| gptkbp:is_simple_for_n_>_2 |
true
|
| gptkbp:is_sometimes_denoted |
SO_0(1,n)
|
| gptkbp:is_the_connected_component_of_the_identity_in |
gptkb:SO(1,n)
|
| gptkbp:is_the_group_of_orientation-preserving_isometries_of |
hyperbolic n-space
|
| gptkbp:isMatrixGroup |
true
|
| gptkbp:isTransitiveOn |
hyperbolic n-space
|
| gptkbp:preserves |
Lorentzian form of signature (1,n)
|
| gptkbp:relatedTo |
gptkb:Lorentz_group
orthogonal group |
| gptkbp:bfsParent |
gptkb:Special_orthogonal_group_of_signature_(1,n)
|
| gptkbp:bfsLayer |
7
|