|
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_real_form
|
E6
|
|
gptkbp:dimensions
|
78
|
|
gptkbp:discoveredBy
|
gptkb:Élie_Cartan
|
|
gptkbp:discoveredIn
|
1894
|
|
gptkbp:Dynkin_diagram
|
E6
|
|
gptkbp:fundamentalGroup
|
cyclic group of order 3
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E6 Lie group
|
|
gptkbp:quaternionic_real_form
|
E6(-26)
|
|
gptkbp:rank
|
6
|
|
gptkbp:realForm
|
3
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:algebraic_geometry
gptkb:E6_Lie_algebra
gptkb:E7_Lie_group
gptkb:SU(6)
gptkb:Albert_algebra
gptkb:SU(3)
gptkb:exceptional_Jordan_algebra
gptkb:Spin(10)
gptkb:exceptional_groups_of_Lie_type
gptkb:exceptional_Lie_algebra
gptkb:octonions
gptkb:E8_Lie_group
gptkb:G2_Lie_group
gptkb:finite_group_of_Lie_type
gptkb:F4_Lie_group
E6 algebraic group
E6 finite group
E6 lattice
E6 polytope
|
|
gptkbp:smallest_faithful_representation
|
27-dimensional
|
|
gptkbp:split_real_form
|
E6(6)
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E6_root_system
|
|
gptkbp:used_in
|
gptkb:algebraic_geometry
gptkb:theoretical_physics
gptkb:string_theory
representation theory
grand unified theories
|
|
gptkbp:Weyl_group
|
51840
|
|
gptkbp:bfsParent
|
gptkb:G2_Lie_group
|
|
gptkbp:bfsLayer
|
7
|