Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:alsoKnownAs |
orthogonal group
|
| gptkbp:dimensions |
2n
|
| gptkbp:field |
F
|
| gptkbp:hasSubgroup |
gptkb:GL_{2n}(F)
|
| https://www.w3.org/2000/01/rdf-schema#label |
sp {2n}(F)
|
| gptkbp:Lie_algebra |
gptkb:sp_{2n}(F)_(Lie_algebra)
|
| gptkbp:order_(finite_field) |
q^{n^2} \\prod_{i=1}^n (q^{2i}-1) (for F=\\mathbb{F}_q)
|
| gptkbp:preserves |
non-degenerate skew-symmetric bilinear form
|
| gptkbp:relatedTo |
symplectic geometry
|
| gptkbp:type |
classical group
|
| gptkbp:bfsParent |
gptkb:symplectic_Lie_algebra
|
| gptkbp:bfsLayer |
6
|