E6 Weyl group

URI: https://gptkb.org/entity/E6_Weyl_group
GPTKB entity
Statements (28)
Predicate Object
gptkbp:instanceOf gptkb:Weyl_group
gptkbp:actsOn gptkb:6-dimensional_Euclidean_space
gptkbp:associatedWith gptkb:E6_Lie_algebra
gptkb:E6_root_system
gptkbp:Coxeter_number 12
gptkbp:generation 6
gptkbp:hasElementOrder 2
12
3
4
5
6
8
9
gptkbp:hasSubgroup gptkb:E7_Weyl_group
gptkb:E8_Weyl_group
gptkbp:isRealizedAs gptkb:group_of_people
gptkb:permutation_group
gptkbp:isSimple true
gptkbp:namedAfter gptkb:E6_Lie_algebra
gptkbp:order 51840
gptkbp:rank 6
gptkbp:relatedTo gptkb:exceptional_Lie_groups
gptkbp:symmetry E6 Dynkin diagram
gptkbp:type finite reflection group
gptkbp:bfsParent gptkb:exceptional_Lie_algebra_root_system
gptkbp:bfsLayer 9
https://www.w3.org/2000/01/rdf-schema#label E6 Weyl group