Statements (26)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Lie algebra type
|
| gptkbp:alsoKnownAs |
gptkb:symplectic_Lie_algebra
|
| gptkbp:class |
gptkb:Cartan_classification
|
| gptkbp:complexForm |
gptkb:sp(2n,_C)
|
| gptkbp:dimensions |
n(2n+1)
|
| gptkbp:Dynkin_diagram |
gptkb:C_n
|
| gptkbp:field |
complex numbers
real numbers |
| gptkbp:firstAppearance |
gptkb:Cartan_classification_of_simple_Lie_algebras
|
| https://www.w3.org/2000/01/rdf-schema#label |
Lie type C n
|
| gptkbp:rank |
n
|
| gptkbp:realForm |
gptkb:sp(2n,_R)
|
| gptkbp:relatedGroup |
gptkb:Sp(2n)
|
| gptkbp:relatedTo |
gptkb:classical_Lie_algebra
gptkb:Lie_algebra_sp(2n) gptkb:root_system_C_n orthogonal group |
| gptkbp:simpleLieAlgebra |
yes
|
| gptkbp:type |
gptkb:C_n
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
mathematical physics representation theory |
| gptkbp:Weyl_group |
hyperoctahedral group
|
| gptkbp:bfsParent |
gptkb:symplectic_group_Sp(2n,q)
gptkb:PSp_{2n}(q) |
| gptkbp:bfsLayer |
7
|