Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:alsoKnownAs |
O(1,2)
|
| gptkbp:connected_component |
SO^+(1,2)
|
| gptkbp:dimensions |
3
|
| gptkbp:field |
gptkb:mathematics
gptkb:theoretical_physics |
| https://www.w3.org/2000/01/rdf-schema#label |
Lorentz group for p=1, q=2
|
| gptkbp:isomorphicTo |
SL(2,R)/Z_2
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(1,2)
|
| gptkbp:non-compact |
true
|
| gptkbp:preserves |
quadratic form with signature (1,2)
|
| gptkbp:rank |
1
|
| gptkbp:realization |
group of linear transformations of R^3 preserving x_0^2 - x_1^2 - x_2^2
|
| gptkbp:relatedTo |
gptkb:special_relativity
gptkb:hyperbolic_geometry gptkb:anti-de_Sitter_space |
| gptkbp:type |
indefinite orthogonal group
|
| gptkbp:usedIn |
2+1 dimensional spacetime models
|
| gptkbp:bfsParent |
gptkb:SO(p+1,q+1)
|
| gptkbp:bfsLayer |
8
|