Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
gptkb:n-dimensional_hyperbolic_space
|
| gptkbp:dimensions |
n(n+1)/2
|
| gptkbp:hasSubgroup |
gptkb:SO(1,n)
O(1,n) |
| https://www.w3.org/2000/01/rdf-schema#label |
SO^+(1,n)
|
| gptkbp:is_connected_component_of |
gptkb:SO(1,n)
|
| gptkbp:is_non-compact |
true
|
| gptkbp:is_real_form_of |
gptkb:SO(n+1,C)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:preserves |
Lorentzian form
|
| gptkbp:relatedTo |
gptkb:Lorentz_group
orthogonal group |
| gptkbp:sometimesCalled |
gptkb:proper_orthochronous_Lorentz_group
|
| gptkbp:used_in |
gptkb:theory_of_relativity
gptkb:hyperbolic_geometry differential geometry representation theory |
| gptkbp:bfsParent |
gptkb:SO(1,n)
|
| gptkbp:bfsLayer |
6
|