Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
orthogonal group |
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:connects |
true
|
| gptkbp:definedIn |
group of 7x7 complex matrices preserving a non-degenerate symmetric bilinear form with determinant 1
|
| gptkbp:dimensions |
21
|
| gptkbp:field |
complex numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(7, C)
|
| gptkbp:Lie_algebra |
so(7, C)
|
| gptkbp:maximal_compact_subgroup |
gptkb:SO(7)
|
| gptkbp:rank |
3
|
| gptkbp:relatedTo |
gptkb:Spin_group
orthogonal group classical group |
| gptkbp:simply_connected |
false
|
| gptkbp:type |
gptkb:group_of_people
gptkb:semisimple_Lie_group gptkb:Lie_group |
| gptkbp:universalCover |
Spin(7, C)
|
| gptkbp:bfsParent |
gptkb:SO(7,_R)
|
| gptkbp:bfsLayer |
8
|