Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
classical group |
| gptkbp:actsOn |
vector space of dimension n over field with q elements
|
| gptkbp:application |
gptkb:geometry
coding theory combinatorics |
| gptkbp:contains |
gptkb:special_orthogonal_group_SO(n,q)
|
| gptkbp:definedIn |
finite field with q elements
|
| https://www.w3.org/2000/01/rdf-schema#label |
orthogonal group O(n,q)
|
| gptkbp:notation |
gptkb:O(n,q)
|
| gptkbp:order |
depends on n and q
|
| gptkbp:preserves |
non-degenerate symmetric bilinear form
|
| gptkbp:relatedTo |
gptkb:general_linear_group_GL(n,q)
gptkb:symplectic_group_Sp(n,q) gptkb:unitary_group_U(n,q) |
| gptkbp:studiedIn |
gptkb:algebraic_geometry
group theory representation theory |
| gptkbp:bfsParent |
gptkb:special_orthogonal_group_SO(n,q)
|
| gptkbp:bfsLayer |
7
|