Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group |
| gptkbp:actsOn |
9-dimensional real vector space
|
| gptkbp:centralTo |
{I, -I}
|
| gptkbp:compact |
true
|
| gptkbp:component |
gptkb:Z/2Z
|
| gptkbp:connected_component |
special orthogonal group SO(9)
|
| gptkbp:defines |
group of 9x9 real orthogonal matrices
|
| gptkbp:dimensions |
36
|
| gptkbp:field |
real numbers
|
| gptkbp:hasElementOrder |
finite or infinite
|
| gptkbp:isSimple |
no
|
| gptkbp:Lie_algebra |
so(9)
|
| gptkbp:maximal_compact_subgroup_of |
general linear group GL(9, R)
|
| gptkbp:notation |
O(9)
|
| gptkbp:preserves |
gptkb:Euclidean_inner_product
|
| gptkbp:rank |
4
|
| gptkbp:relatedTo |
gptkb:orthogonal_group_O(n)
special orthogonal group SO(9) |
| gptkbp:bfsParent |
gptkb:orthogonal_group_O(10)
gptkb:SO(9) |
| gptkbp:bfsLayer |
9
|
| https://www.w3.org/2000/01/rdf-schema#label |
orthogonal group O(9)
|