|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:centralTo
|
trivial
|
|
gptkbp:compact
|
true
compact simple Lie group
|
|
gptkbp:connectedTo
|
true
|
|
gptkbp:dimensions
|
248
|
|
gptkbp:discoveredBy
|
gptkb:Wilhelm_Killing
gptkb:Élie_Cartan
|
|
gptkbp:discoveredIn
|
late 19th century
|
|
gptkbp:Dynkin_diagram
|
gptkb:E_8_Dynkin_diagram
|
|
gptkbp:formsComplexWith
|
complex simple Lie group
|
|
gptkbp:fundamentalGroup
|
trivial
|
|
gptkbp:has_maximal_compact_subgroup
|
itself (in compact form)
|
|
gptkbp:has_maximal_torus
|
8-dimensional
|
|
gptkbp:has_no_center
|
true
|
|
gptkbp:has_no_outer_automorphisms
|
true
|
|
gptkbp:has_trivial_center
|
true
|
|
gptkbp:has_trivial_fundamental_group
|
true
|
|
gptkbp:hasConnection
|
true
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Lie group E 8
|
|
gptkbp:is_exceptional
|
true
|
|
gptkbp:isSemisimple
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:rank
|
8
|
|
gptkbp:realForm
|
3
|
|
gptkbp:relatedTo
|
gptkb:Bott_periodicity
gptkb:E_8_geometry
gptkb:E_8_singularity
gptkb:E_6
gptkb:E_7
gptkb:G_2
gptkb:exceptional_Jordan_algebra
gptkb:E_8_Lie_algebra
gptkb:E_8_lattice
gptkb:E_8_manifold
gptkb:exceptional_Lie_algebras
gptkb:octonions
algebraic groups
homotopy theory
F_4
finite simple groups
Lie algebra E_8
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E_8_root_system
|
|
gptkbp:used_in
|
gptkb:mathematics
gptkb:theoretical_physics
gptkb:string_theory
grand unified theories
|
|
gptkbp:Weyl_group
|
696729600
|
|
gptkbp:bfsParent
|
gptkb:E_8_singularity_theory
|
|
gptkbp:bfsLayer
|
8
|