|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:centralTo
|
trivial
|
|
gptkbp:compact
|
true
|
|
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:fundamentalGroup
|
trivial
|
|
gptkbp:has_maximal_torus
|
8-dimensional
|
|
gptkbp:has_no_outer_automorphisms
|
true
|
|
gptkbp:has_trivial_center
|
true
|
|
gptkbp:has_trivial_fundamental_group
|
true
|
|
gptkbp:has_trivial_outer_automorphism_group
|
true
|
|
gptkbp:hasConnection
|
true
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E 8 Lie group
|
|
gptkbp:isNonAbelian
|
true
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:rank
|
8
|
|
gptkbp:realForm
|
split real form
compact form
quasi-split real form
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:algebraic_geometry
gptkb:E_6_Lie_group
gptkb:string_theory
gptkb:Bourbaki_group
gptkb:Lie_group
gptkb:E_8_Lie_algebra
gptkb:E_8_lattice
gptkb:octonions
gptkb:E_7_Lie_group
gptkb:E_8_×_E_8_heterotic_string
gptkb:F_4_Lie_group
gptkb:G_2_Lie_group
exceptional holonomy
exceptional groups
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E_8_root_system
|
|
gptkbp:used_in
|
gptkb:algebraic_geometry
gptkb:mathematics
gptkb:theoretical_physics
representation theory
grand unified theories
|
|
gptkbp:Weyl_group
|
696729600
|
|
gptkbp:bfsParent
|
gptkb:E_8_lattice
|
|
gptkbp:bfsLayer
|
7
|