Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematics
|
| gptkbp:appliesTo |
gptkb:semisimple_Lie_algebras
simple Lie algebras |
| gptkbp:basisFor |
gptkb:Weyl_group
gptkb:root |
| gptkbp:describes |
structure of Lie algebras
|
| gptkbp:field |
gptkb:Lie_theory
gptkb:mathematics |
| gptkbp:hasType |
gptkb:C_n
gptkb:E_6 gptkb:E_7 gptkb:E_8 gptkb:G_2 A_n B_n D_n F_4 |
| https://www.w3.org/2000/01/rdf-schema#label |
Cartan classification
|
| gptkbp:includes |
gptkb:exceptional_Lie_algebras
gptkb:classical_Lie_algebras |
| gptkbp:influenced |
gptkb:theoretical_physics
modern algebra |
| gptkbp:introducedIn |
early 20th century
|
| gptkbp:namedAfter |
gptkb:Élie_Cartan
|
| gptkbp:relatedTo |
gptkb:Weyl_group
gptkb:Killing_form gptkb:root representation theory |
| gptkbp:usedFor |
classification of simple Lie groups
|
| gptkbp:bfsParent |
gptkb:Lie_group
|
| gptkbp:bfsLayer |
5
|