Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:associatedWith |
orthogonal group
|
| gptkbp:CartanSubalgebraDimension |
n
|
| gptkbp:centralTo |
trivial
|
| gptkbp:compact |
gptkb:sp(n)
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
real numbers
|
| gptkbp:generation |
gptkb:Hamiltonian_vector_fields
|
| https://www.w3.org/2000/01/rdf-schema#label |
sp(2n, R)
|
| gptkbp:matrixRepresentation |
2n x 2n real matrices preserving symplectic form
|
| gptkbp:noncompactForm |
gptkb:sp(2n,_R)
|
| gptkbp:rank |
n
|
| gptkbp:realForm |
gptkb:sp(2n,_C)
|
| gptkbp:relatedGroup |
gptkb:Sp(2n,_R)
|
| gptkbp:structure |
gptkb:Lie_group
|
| gptkbp:type |
gptkb:classical_Lie_algebra
type C_n |
| gptkbp:usedIn |
mathematical physics
representation theory symplectic geometry |
| gptkbp:bfsParent |
gptkb:sp(2n,_C)
|
| gptkbp:bfsLayer |
7
|