Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
gptkb:Lie_group orthogonal group |
| gptkbp:centralTo |
gptkb:Z/2Z
|
| gptkbp:definedIn |
group of 2n x 2n complex matrices preserving a non-degenerate skew-symmetric bilinear form
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
C
complex numbers |
| https://www.w3.org/2000/01/rdf-schema#label |
Sp {2n}(C)
|
| gptkbp:Lie_algebra |
sp_{2n}(C)
|
| gptkbp:maximal_compact_subgroup |
gptkb:USp(2n)
|
| gptkbp:notation |
gptkb:Sp_{2n}(C)
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
gptkb:algebraic_geometry
representation theory symplectic geometry classical group |
| gptkbp:type |
gptkb:semisimple_Lie_group
gptkb:Lie_group non-compact Lie group type C_n connected Lie group |
| gptkbp:bfsParent |
gptkb:Sp(2n,_C)
gptkb:Sp(2n,C) |
| gptkbp:bfsLayer |
8
|