Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
|
| gptkbp:actsOn |
gptkb:6-dimensional_Euclidean_space
|
| gptkbp:associatedWith |
gptkb:E_6_Lie_algebra
|
| gptkbp:automorphismGroup |
gptkb:S_2
|
| gptkbp:Coxeter_number |
12
|
| gptkbp:Dynkin_diagram |
gptkb:E_6
|
| gptkbp:generation |
reflections
|
| gptkbp:hasOuterAutomorphism |
true
|
| gptkbp:hasSubgroup |
gptkb:E_8_Weyl_group
gptkb:E_7_Weyl_group |
| https://www.w3.org/2000/01/rdf-schema#label |
E 6 Weyl group
|
| gptkbp:isFinite |
true
|
| gptkbp:isIrreducible |
true
|
| gptkbp:isSimple |
true
|
| gptkbp:order |
51840
|
| gptkbp:presentedBy |
Coxeter presentation
|
| gptkbp:rank |
6
|
| gptkbp:relatedTo |
gptkb:exceptional_Lie_groups
|
| gptkbp:type |
gptkb:E_6_root_system
finite reflection group |
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics representation theory |
| gptkbp:bfsParent |
gptkb:E_6_root_system
|
| gptkbp:bfsLayer |
7
|