Statements (24)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
orthogonal group |
| gptkbp:actsOn |
9-dimensional real vector space
|
| gptkbp:centralTo |
gptkb:Z/2Z
|
| gptkbp:compact |
true
|
| gptkbp:connects |
true
|
| gptkbp:definedIn |
real numbers
|
| gptkbp:dimensions |
36
|
| gptkbp:fundamentalGroup |
gptkb:Z/2Z
|
| gptkbp:has_Cartan_subgroup |
T^4
|
| gptkbp:hasSubgroup |
gptkb:GL(9,_R)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SO(9)
|
| gptkbp:isSimple |
true
|
| gptkbp:Lie_algebra |
so(9)
|
| gptkbp:maximal_compact_subgroup_of |
O(9)
|
| gptkbp:rank |
4
|
| gptkbp:realForm |
gptkb:SO(n)
|
| gptkbp:relatedTo |
gptkb:orthogonal_group_O(9)
|
| gptkbp:type |
gptkb:group_of_people
B4 |
| gptkbp:universalCover |
gptkb:Spin(9)
|
| gptkbp:bfsParent |
gptkb:SO(10)
gptkb:exceptional_Lie_group_F4 |
| gptkbp:bfsLayer |
6
|