Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:Cartan_matrix |
gptkb:C_n
|
| gptkbp:centralTo |
trivial
|
| gptkbp:describes |
Lie algebra of the symplectic group over the complex numbers
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
complex numbers
|
| gptkbp:rank |
n
|
| gptkbp:realForm |
gptkb:sp(2n,_R)
gptkb:sp(n) |
| gptkbp:relatedGroup |
gptkb:Sp(2n,_C)
|
| gptkbp:relatedTo |
representation theory
symplectic geometry |
| gptkbp:structureConstants |
depends on symplectic form
|
| gptkbp:type |
gptkb:C_n
gptkb:Lie_group |
| gptkbp:bfsParent |
gptkb:semisimple_Lie_algebras
|
| gptkbp:bfsLayer |
6
|
| https://www.w3.org/2000/01/rdf-schema#label |
sp(2n, C)
|