Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group orthogonal group |
| gptkbp:actsOn |
R^7
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:compact |
yes
|
| gptkbp:connects |
yes
|
| gptkbp:determinant |
1
|
| gptkbp:dimensions |
21
|
| gptkbp:field |
real numbers
|
| gptkbp:fundamentalGroup |
gptkb:Z/2Z
|
| gptkbp:group_order |
infinite
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(7, R)
|
| gptkbp:isSimple |
yes
|
| gptkbp:Lie_algebra |
so(7, R)
|
| gptkbp:maximal_compact_subgroup_of |
gptkb:O(7,_R)
|
| gptkbp:preserves |
gptkb:Euclidean_inner_product
orientation |
| gptkbp:rank |
3
|
| gptkbp:realForm |
gptkb:SO(7,_C)
|
| gptkbp:relatedTo |
gptkb:G2
gptkb:SO(n,_R) gptkb:Spin(7) gptkb:O(7,_R) |
| gptkbp:type |
orthogonal group
|
| gptkbp:universalCover |
gptkb:Spin(7)
|
| gptkbp:bfsParent |
gptkb:SO(7)
|
| gptkbp:bfsLayer |
7
|