Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
orthogonal group |
| gptkbp:actsOn |
real vector space of dimension p+q+2
|
| gptkbp:contains |
gptkb:SO(p+1,q+1)
|
| gptkbp:dimensions |
(p+q+2)(p+q+1)/2
|
| gptkbp:hasComponent |
gptkb:Z/2Z
|
| gptkbp:hasConnection |
false
|
| gptkbp:hasSubgroup |
GL(p+q+2, R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
O(p+1,q+1)
|
| gptkbp:preserves |
quadratic form of signature (p+1,q+1)
|
| gptkbp:realForm |
O(n, C)
|
| gptkbp:usedIn |
gptkb:conformal_geometry
mathematical physics representation theory theory of Clifford algebras |
| gptkbp:bfsParent |
gptkb:SO(p+1,q+1)
|
| gptkbp:bfsLayer |
8
|