Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:automorphismGroup |
gptkb:Weyl_group_of_E_7
|
| gptkbp:centralTo |
gptkb:Z/2Z
|
| gptkbp:dimension_of_ambient_space |
7
|
| gptkbp:Dynkin_diagram |
gptkb:E_7
|
| gptkbp:fundamentalGroup |
gptkb:Z/2Z
|
| gptkbp:has_Coxeter_number |
18
|
| gptkbp:has_dual_root_system |
gptkb:root_system_of_E_7
|
| gptkbp:has_exponents |
1, 5, 7, 9, 11, 13, 17
|
| https://www.w3.org/2000/01/rdf-schema#label |
root system of E 7
|
| gptkbp:is_crystallographic |
true
|
| gptkbp:is_irreducible |
true
|
| gptkbp:is_not_simply_connected |
true
|
| gptkbp:is_reduced |
true
|
| gptkbp:is_simply_laced |
true
|
| gptkbp:number_of_positive_roots |
63
|
| gptkbp:number_of_roots |
126
|
| gptkbp:number_of_simple_roots |
7
|
| gptkbp:rank |
7
|
| gptkbp:relatedTo |
gptkb:E_7_Lie_algebra
|
| gptkbp:type |
exceptional root system
|
| gptkbp:used_in |
theory of Lie groups
theory of Lie algebras classification of simple Lie algebras theory of algebraic groups |
| gptkbp:Weyl_group |
2903040
|
| gptkbp:bfsParent |
gptkb:Weyl_group_of_E_7
|
| gptkbp:bfsLayer |
8
|