Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:class |
gptkb:Cartan_classification
A_n, B_n, C_n, D_n series |
| gptkbp:consistsOf |
gptkb:A_n_series
gptkb:B_n_series gptkb:C_n_series gptkb:D_n_series |
| gptkbp:example |
gptkb:sl(n,C)
gptkb:sp(2n,C) so(n,C) |
| gptkbp:excludes |
gptkb:exceptional_Lie_algebras
|
| gptkbp:field |
complex numbers
real numbers |
| gptkbp:hasType |
gptkb:orthogonal_Lie_algebra
gptkb:special_linear_Lie_algebra gptkb:special_orthogonal_Lie_algebra gptkb:symplectic_Lie_algebra |
| https://www.w3.org/2000/01/rdf-schema#label |
classical Lie algebras
|
| gptkbp:namedFor |
gptkb:Wilhelm_Killing
gptkb:Élie_Cartan |
| gptkbp:relatedTo |
gptkb:Lie_group
semisimple Lie algebra |
| gptkbp:studiedIn |
representation theory
|
| gptkbp:subclassOf |
gptkb:Lie_group
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics differential geometry |
| gptkbp:bfsParent |
gptkb:Cartan_classification
|
| gptkbp:bfsLayer |
6
|