|
gptkbp:instanceOf
|
gptkb:root
|
|
gptkbp:automorphismGroup
|
Weyl group of E6
|
|
gptkbp:Coxeter_number
|
12
|
|
gptkbp:dimension_of_Lie_algebra
|
78
|
|
gptkbp:dual_Coxeter_number
|
12
|
|
gptkbp:Dynkin_diagram
|
E6
|
|
gptkbp:foundIn
|
gptkb:6-dimensional_Euclidean_space
|
|
gptkbp:has_minuscule_representation
|
27* (dual) representation
27-dimensional representation
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E6 root system
|
|
gptkbp:Lie_algebra
|
gptkb:E6_Lie_algebra
|
|
gptkbp:number_of_negative_roots
|
36
|
|
gptkbp:number_of_positive_roots
|
36
|
|
gptkbp:number_of_roots
|
72
|
|
gptkbp:number_of_simple_roots
|
6
|
|
gptkbp:rank
|
6
|
|
gptkbp:relatedTo
|
gptkb:E8_root_system
gptkb:Lie_group
gptkb:G2_root_system
gptkb:exceptional_Lie_group_E6
gptkb:E7_root_system
gptkb:F4_root_system
Deligne's exceptional series
Lie group E6
complex simple Lie algebra
|
|
gptkbp:symmetry
|
exceptional symmetry
|
|
gptkbp:type
|
gptkb:exceptional_Lie_algebra_root_system
|
|
gptkbp:used_in
|
gptkb:string_theory
theory of Lie algebras
theory of algebraic groups
theory of singularities
theory of algebraic geometry
theory of lattices
theory of quantum groups
theory of grand unified theories
|
|
gptkbp:Weyl_group
|
51840
|
|
gptkbp:bfsParent
|
gptkb:exceptional_Lie_group_E6
|
|
gptkbp:bfsLayer
|
6
|