|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
cyclic group of order 2
|
|
gptkbp:centralTo
|
cyclic group of order 3
|
|
gptkbp:compact_real_form
|
E6 (compact)
|
|
gptkbp:complexification
|
E6 (complex Lie group)
|
|
gptkbp:dimensions
|
78
|
|
gptkbp:discoveredBy
|
gptkb:Élie_Cartan
|
|
gptkbp:Dynkin_diagram
|
E6
|
|
gptkbp:field_of_definition
|
complex numbers
finite fields
real numbers
|
|
gptkbp:has_adjoint_representation
|
78-dimensional
|
|
gptkbp:has_automorphism
|
diagram automorphism
inner automorphism
outer automorphism
|
|
gptkbp:has_fundamental_representation
|
27-dimensional
|
|
gptkbp:quaternionic_real_form
|
E6(-26)
|
|
gptkbp:rank
|
6
|
|
gptkbp:realForm
|
3
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:weight_lattice
gptkb:Albert_algebra
gptkb:exceptional_Jordan_algebra
gptkb:Freudenthal_magic_square
gptkb:Grand_Unified_Theory
gptkb:F4_(Lie_group)
gptkb:universal_covering_group
gptkb:octonions
gptkb:Lie_algebra_E6
gptkb:E8_(Lie_group)
gptkb:G2_(Lie_group)
representation theory
projective group
exceptional groups
simply connected group
E7 (Lie group)
D5 (Lie group)
adjoint group
algebraic group over finite fields
exceptional algebraic group
root system E6
|
|
gptkbp:split_real_form
|
E6(6)
|
|
gptkbp:type
|
gptkb:Lie_group
|
|
gptkbp:used_in
|
gptkb:theoretical_physics
gptkb:string_theory
particle physics
|
|
gptkbp:Weyl_group
|
51840
|
|
gptkbp:bfsParent
|
gptkb:Lie_group_G2
gptkb:Lie_algebra_E6
|
|
gptkbp:bfsLayer
|
9
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E6 (Lie group)
|