Statements (34)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:class |
gptkb:Cartan_classification
|
| gptkbp:dimensions |
E6: 78
E7: 133 E8: 248 F4: 52 G2: 14 |
| gptkbp:discoveredBy |
gptkb:Élie_Cartan
|
| gptkbp:discoveredIn |
1894
|
| gptkbp:field |
gptkb:mathematics
gptkb:theoretical_physics |
| gptkbp:heldBy |
finite-dimensional
simple Lie algebras complex Lie algebras complex forms exist not part of the classical Lie algebras not simply laced (G2, F4) real forms exist simply laced (E6, E7, E8) |
| https://www.w3.org/2000/01/rdf-schema#label |
Exceptional Lie algebras
|
| gptkbp:include |
gptkb:G2
gptkb:F4 E8 E6 E7 |
| gptkbp:numberOfRooms |
5
|
| gptkbp:relatedTo |
gptkb:Dynkin_diagrams
gptkb:octonions root systems exceptional groups |
| gptkbp:usedIn |
gptkb:string_theory
grand unified theories |
| gptkbp:bfsParent |
gptkb:Del_Pezzo_surface
|
| gptkbp:bfsLayer |
7
|