Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:alsoKnownAs |
gptkb:symplectic_Lie_algebra
|
| gptkbp:Cartan_type |
gptkb:C_n
|
| gptkbp:centralTo |
trivial
|
| gptkbp:defining_property |
preserves symplectic form
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:field |
complex numbers
real numbers |
| gptkbp:formsComplexWith |
gptkb:sp(2n,_C)
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lie algebra sp(2n)
|
| gptkbp:Lie_group |
gptkb:Sp(2n)
|
| gptkbp:matrixRepresentation |
2n x 2n matrices
|
| gptkbp:notation |
sp(2n)
|
| gptkbp:rank |
n
|
| gptkbp:realForm |
gptkb:sp(2n,_R)
|
| gptkbp:relatedTo |
gptkb:classical_Lie_algebra
orthogonal group |
| gptkbp:structure_constants |
antisymmetric
|
| gptkbp:subalgebra_of |
gl(2n)
|
| gptkbp:type |
gptkb:C_n
gptkb:Lie_group |
| gptkbp:usedIn |
gptkb:geometry
mathematical physics quantum mechanics representation theory |
| gptkbp:bfsParent |
gptkb:Lie_type_C_n
gptkb:Coxeter_group_B_n |
| gptkbp:bfsLayer |
8
|