|
gptkbp:instanceOf
|
gptkb:Lie_group
complex Lie algebra
|
|
gptkbp:automorphismGroup
|
cyclic group of order 2
|
|
gptkbp:Cartan_matrix
|
gptkb:E_6_Cartan_matrix
|
|
gptkbp:centralTo
|
cyclic group of order 3
|
|
gptkbp:dimensions
|
78
|
|
gptkbp:discoveredBy
|
gptkb:Élie_Cartan
|
|
gptkbp:Dynkin_diagram
|
gptkb:E6_diagram
|
|
gptkbp:field
|
gptkb:mathematics
gptkb:theoretical_physics
|
|
gptkbp:fundamentalGroup
|
cyclic group of order 3
|
|
gptkbp:hasMinusculeRepresentation
|
27* (dual) representation
27-dimensional representation
|
|
gptkbp:hasSubgroup
|
gptkb:E_7
gptkb:E_8
gptkb:SU(6)_×_SU(2)
gptkb:Spin(10)
F_4
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E 6
|
|
gptkbp:rank
|
6
|
|
gptkbp:realForm
|
compact real form
split real form
|
|
gptkbp:relatedTo
|
gptkb:Albert_algebra
gptkb:E_7
gptkb:E_8
gptkb:G_2
gptkb:exceptional_Jordan_algebra
gptkb:Freudenthal_magic_square
gptkb:octonions
F_4
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E_6_root_system
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
gptkb:string_theory
representation theory
grand unified theories
theory of Lie algebras
|
|
gptkbp:Weyl_group
|
51840
|
|
gptkbp:bfsParent
|
gptkb:Weyl_group
|
|
gptkbp:bfsLayer
|
5
|