|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
trivial
|
|
gptkbp:Cartan_matrix
|
gptkb:E_8_Cartan_matrix
|
|
gptkbp:centralTo
|
trivial
|
|
gptkbp:compact_real_form
|
gptkb:E_8
|
|
gptkbp:dimensions
|
248
|
|
gptkbp:discoveredBy
|
gptkb:Wilhelm_Killing
|
|
gptkbp:discoveredIn
|
1894
|
|
gptkbp:Dynkin_diagram
|
gptkb:E_8_Dynkin_diagram
|
|
gptkbp:field_of_definition
|
complex numbers
finite fields
real numbers
|
|
gptkbp:fundamentalGroup
|
trivial
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E 8 (Lie group)
|
|
gptkbp:rank
|
8
|
|
gptkbp:realForm
|
3
|
|
gptkbp:related_algebra
|
gptkb:E_8_Lie_algebra
|
|
gptkbp:relatedTo
|
gptkb:E_8_singularity
gptkb:string_theory
gptkb:Bourbaki_group
gptkb:E_8_lattice
gptkb:E_8_manifold
gptkb:E_8_polytope
gptkb:exceptional_Lie_algebras
gptkb:octonions
grand unified theory
Lie algebra classification
exceptional groups
E-series Lie groups
E_6 (Lie group)
E_7 (Lie group)
F_4 (Lie group)
G_2 (Lie group)
|
|
gptkbp:split_real_form
|
E_8(8)
|
|
gptkbp:studiedBy
|
gptkb:Élie_Cartan
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E_8_root_system
|
|
gptkbp:used_in
|
gptkb:algebraic_geometry
gptkb:theoretical_physics
gptkb:string_theory
mathematical physics
representation theory
grand unified theories
|
|
gptkbp:Weyl_group
|
696729600
|
|
gptkbp:bfsParent
|
gptkb:E_8_(compact_real_form)
|
|
gptkbp:bfsLayer
|
8
|