|
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
|
|
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:Albert_algebra
gptkb:exceptional_Jordan_algebra
gptkb:Freudenthal_magic_square
gptkb:F4_(Lie_group)
gptkb:universal_covering_group
gptkb:octonions
gptkb:Lie_algebra_E6
gptkb:E8_(Lie_group)
gptkb:G2_(Lie_group)
representation theory
Grand Unified Theory
weight lattice
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:E6(q)
|
|
gptkbp:bfsLayer
|
6
|