|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:adjoint_representation_dimension
|
78
|
|
gptkbp:automorphismGroup
|
cyclic group of order 2
|
|
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
|
exceptional Lie group E6
|
|
gptkbp:rank
|
6
|
|
gptkbp:realForm
|
E6(-14)
E6(-26)
compact E6
split E6
|
|
gptkbp:related_algebra
|
gptkb:Albert_algebra
exceptional Lie algebra E6
|
|
gptkbp:relatedGroup
|
gptkb:F4
E8
E7
|
|
gptkbp:relatedTo
|
gptkb:exceptional_Jordan_algebra
gptkb:Freudenthal_magic_square
gptkb:octonions
|
|
gptkbp:smallest_faithful_representation
|
27-dimensional
|
|
gptkbp:split_real_form
|
E6(6)
|
|
gptkbp:type
|
gptkb:E6_root_system
complex simple Lie group
|
|
gptkbp:used_in
|
gptkb:theoretical_physics
gptkb:string_theory
grand unified theories
|
|
gptkbp:Weyl_group
|
51840
|
|
gptkbp:bfsParent
|
gptkb:Lie_group
|
|
gptkbp:bfsLayer
|
5
|