exceptional Lie algebra root system
GPTKB entity
Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:class |
gptkb:exceptional_simple_Lie_algebras
|
| gptkbp:compatibleWith |
gptkb:classical_Lie_algebra_root_system
|
| https://www.w3.org/2000/01/rdf-schema#label |
exceptional Lie algebra root system
|
| gptkbp:includes |
gptkb:E8_root_system
gptkb:G2_root_system gptkb:E6_root_system gptkb:E7_root_system gptkb:F4_root_system |
| gptkbp:rank |
E6: 6
E7: 7 E8: 8 F4: 4 G2: 2 |
| gptkbp:relatedTo |
gptkb:Lie_group
gptkb:root |
| gptkbp:studiedBy |
gptkb:Élie_Cartan
|
| gptkbp:usedIn |
representation theory
theory of Lie groups |
| gptkbp:Weyl_group |
gptkb:E6_Weyl_group
gptkb:E7_Weyl_group gptkb:E8_Weyl_group gptkb:F4_Weyl_group gptkb:G2_Weyl_group |
| gptkbp:bfsParent |
gptkb:G2_root_system
gptkb:E6_root_system gptkb:F4_root_system |
| gptkbp:bfsLayer |
7
|