|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:adjoint_representation_dimension
|
78
|
|
gptkbp:automorphismGroup
|
cyclic group of order 2
|
|
gptkbp:Cartan_matrix
|
gptkb:E6_Cartan_matrix
|
|
gptkbp:centralTo
|
cyclic group of order 3
|
|
gptkbp:compact
|
gptkb:compact_E_6
|
|
gptkbp:dimensions
|
78
|
|
gptkbp:discoveredBy
|
gptkb:Élie_Cartan
|
|
gptkbp:Dynkin_diagram
|
E6
|
|
gptkbp:fundamentalGroup
|
cyclic group of order 3
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E 6 Lie group
|
|
gptkbp:rank
|
6
|
|
gptkbp:realForm
|
gptkb:E_{6(-14)}
gptkb:E_{6(-26)}
gptkb:compact_E_6
gptkb:split_E_6
4
|
|
gptkbp:relatedGroup
|
gptkb:E_6_Lie_algebra
gptkb:E_8_Lie_group
gptkb:E_6_algebraic_group
gptkb:E_6_finite_group
gptkb:E_7_Lie_group
gptkb:F_4_Lie_group
gptkb:G_2_Lie_group
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:algebraic_geometry
gptkb:theoretical_physics
gptkb:Tits_construction
gptkb:symmetry
gptkb:Albert_algebra
gptkb:exceptional_Jordan_algebra
gptkb:Freudenthal_magic_square
gptkb:octonions
gptkb:Lie_algebra_E_6
mathematical physics
representation theory
exceptional groups
|
|
gptkbp:smallest_faithful_representation
|
27-dimensional
|
|
gptkbp:split_form
|
gptkb:split_E_6
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E6_root_system
|
|
gptkbp:used_in
|
gptkb:string_theory
grand unified theory
|
|
gptkbp:Weyl_group
|
51840
|
|
gptkbp:bfsParent
|
gptkb:E_6_root_system
|
|
gptkbp:bfsLayer
|
7
|