Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:basisFor |
matrices X such that X^TJ + JX = 0 for symplectic form J
|
| gptkbp:Cartan_matrix |
gptkb:C_n
|
| gptkbp:centralTo |
trivial
|
| gptkbp:definesProperty |
preserves a non-degenerate skew-symmetric bilinear form
|
| gptkbp:describes |
Lie algebra of the complex symplectic group
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
complex numbers
|
| https://www.w3.org/2000/01/rdf-schema#label |
sp(2n,C)
|
| gptkbp:rank |
n
|
| gptkbp:realForm |
sp(2n,R)
|
| gptkbp:relatedGroup |
gptkb:Sp(2n,C)
|
| gptkbp:relatedTo |
gptkb:classical_Lie_algebras
representation theory symplectic geometry |
| gptkbp:type |
gptkb:C_n
gptkb:Lie_group |
| gptkbp:bfsParent |
gptkb:classical_Lie_algebras
|
| gptkbp:bfsLayer |
7
|