Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
orthogonal group
|
| gptkbp:centralTo |
gptkb:cyclic_group_of_order_9
|
| gptkbp:definedIn |
gptkb:Field
|
| gptkbp:describes |
group of 9x9 matrices with determinant 1
|
| gptkbp:dimensions |
80
|
| gptkbp:hasSubgroup |
GL(9)
|
| https://www.w3.org/2000/01/rdf-schema#label |
SL(9)
|
| gptkbp:Lie_type |
gptkb:A8
|
| gptkbp:order_over_finite_field_F_q |
q^{36}(q^2-1)(q^3-1)...(q^9-1)
|
| gptkbp:relatedTo |
gptkb:projective_special_linear_group_PSL(9)
|
| gptkbp:simple_for |
n > 1 over algebraically closed field except n=2,3
|
| gptkbp:bfsParent |
gptkb:A_8_root_system
gptkb:special_linear_group_SL(9) |
| gptkbp:bfsLayer |
8
|