Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
ℂ^5
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:compact |
false
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
10
|
| gptkbp:field |
complex numbers
|
| gptkbp:fullName |
Special orthogonal group in 5 dimensions over the complex numbers
|
| gptkbp:hasConnection |
false
true |
| gptkbp:hasSubgroup |
O(5,ℂ)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(5,ℂ)
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(5,ℂ)
|
| gptkbp:preserves |
non-degenerate symmetric bilinear form
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
SO(5,ℝ)
|
| gptkbp:relatedGroup |
orthogonal group
|
| gptkbp:relatedTo |
B2 (Lie algebra type)
|
| gptkbp:universalCover |
Spin(5,ℂ)
|
| gptkbp:bfsParent |
gptkb:SO(1,4)
|
| gptkbp:bfsLayer |
7
|