Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centerOrder |
2
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:compact |
true
|
| gptkbp:complexification |
SO(7,R)
|
| gptkbp:connects |
true
|
| gptkbp:definedIn |
group of 7x7 complex matrices preserving a non-degenerate symmetric bilinear form and with determinant 1
|
| gptkbp:dimensions |
21
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
Special Orthogonal Group in 7 dimensions over the complex numbers
|
| gptkbp:hasConnection |
true
|
| gptkbp:isReductive |
true
|
| gptkbp:isSemisimple |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(7,C)
|
| gptkbp:maximalCompactSubgroup |
gptkb:SO(7)
|
| gptkbp:rank |
3
|
| gptkbp:relatedGroup |
gptkb:group_of_people
gptkb:Lie_group gptkb:orthogonal_group gptkb:classical_group |
| gptkbp:relatedTo |
gptkb:Spin(7,C)
SO(n,C) SO(7,R) |
| gptkbp:rootSystemType |
gptkb:B3
|
| gptkbp:universalCover |
gptkb:Spin(7,C)
|
| gptkbp:bfsParent |
gptkb:Spin(7,C)
gptkb:so(7) |
| gptkbp:bfsLayer |
9
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(7,C)
|