Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:automorphismGroup |
gptkb:E7_Weyl_group
|
| gptkbp:Coxeter_number |
18
|
| gptkbp:dimension_of_associated_Lie_algebra |
133
|
| gptkbp:discoveredBy |
gptkb:Wilhelm_Killing
|
| gptkbp:dual_Coxeter_number |
18
|
| gptkbp:Dynkin_diagram |
gptkb:E7_Dynkin_diagram
|
| gptkbp:foundIn |
7-dimensional Euclidean space
|
| https://www.w3.org/2000/01/rdf-schema#label |
E7 root system
|
| gptkbp:Lie_algebra |
gptkb:E7_Lie_algebra
|
| gptkbp:number_of_positive_roots |
63
|
| gptkbp:number_of_roots |
126
|
| gptkbp:number_of_simple_roots |
7
|
| gptkbp:rank |
7
|
| gptkbp:relatedTo |
gptkb:E7_group
gptkb:E7_lattice |
| gptkbp:type |
exceptional root system
|
| gptkbp:used_in |
theory of Lie groups
theory of Lie algebras theory of algebraic groups |
| gptkbp:Weyl_group |
gptkb:E7_Weyl_group
|
| gptkbp:bfsParent |
gptkb:exceptional_Lie_group_E7
|
| gptkbp:bfsLayer |
6
|