Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:algebraic_geometry
gptkb:group_of_people gptkb:Lie_group |
| gptkbp:actsOn |
C^{2n}
|
| gptkbp:centralTo |
{±I}
|
| gptkbp:connects |
true
|
| gptkbp:definedIn |
set of 2n×2n complex matrices preserving a symplectic form
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
complex numbers
|
| gptkbp:hasSubgroup |
GL(2n,C)
|
| gptkbp:heldBy |
classical group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Sp(2n,C)
|
| gptkbp:Lie_algebra |
gptkb:sp(2n,C)
|
| gptkbp:maximal_compact_subgroup |
gptkb:USp(2n)
|
| gptkbp:notation |
gptkb:Sp_{2n}(C)
|
| gptkbp:preserves |
non-degenerate skew-symmetric bilinear form
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
orthogonal group
|
| gptkbp:simply_connected |
true
|
| gptkbp:type |
gptkb:C_n
gptkb:Lie_group |
| gptkbp:bfsParent |
gptkb:GL(n,C)
|
| gptkbp:bfsLayer |
7
|