Cartan classification of simple Lie algebras
GPTKB entity
Statements (29)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:basisFor |
theory of Lie groups
|
| gptkbp:class |
finite-dimensional simple Lie algebras
classification theorem |
| gptkbp:classicalTypes |
gptkb:C_n
A_n B_n D_n |
| gptkbp:describes |
simple Lie algebras over complex numbers
|
| gptkbp:exceptionalTypes |
gptkb:E_6
gptkb:E_7 gptkb:E_8 gptkb:G_2 F_4 |
| gptkbp:field |
gptkb:mathematics
|
| gptkbp:hasSubfield |
Lie algebra theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Cartan classification of simple Lie algebras
|
| gptkbp:includes |
gptkb:exceptional_Lie_algebras
gptkb:classical_Lie_algebras |
| gptkbp:namedAfter |
gptkb:Élie_Cartan
|
| gptkbp:publicationYear |
1894
|
| gptkbp:publishedBy |
gptkb:Élie_Cartan
|
| gptkbp:relatedTo |
gptkb:semisimple_Lie_algebras
representation theory algebraic groups |
| gptkbp:uses |
gptkb:Dynkin_diagrams
root systems |
| gptkbp:bfsParent |
gptkb:Lie_type_C_n
|
| gptkbp:bfsLayer |
8
|