|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
trivial
|
|
gptkbp:centralTo
|
trivial
|
|
gptkbp:class
|
gptkb:Élie_Cartan
|
|
gptkbp:dimensions
|
248
|
|
gptkbp:discoveredBy
|
gptkb:Wilhelm_Killing
|
|
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 group
|
|
gptkbp:number_of_positive_roots
|
120
|
|
gptkbp:number_of_roots
|
240
|
|
gptkbp:number_of_simple_roots
|
8
|
|
gptkbp:rank
|
8
|
|
gptkbp:realForm
|
split real form
compact form
|
|
gptkbp:relatedTo
|
gptkb:Bott_periodicity
gptkb:topology
gptkb:E_8_x_E_8_heterotic_string
gptkb:string_theory
gptkb:exceptional_Jordan_algebra
gptkb:E_8_Lie_algebra
gptkb:E_8_lattice
gptkb:E_8_manifold
gptkb:sporadic_groups
gptkb:octonions
gptkb:E_6_group
gptkb:E_7_group
gptkb:F_4_group
gptkb:G_2_group
mathematical physics
modular forms
automorphic forms
grand unified theory
exceptional groups
unimodular lattices
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E_8_root_system
|
|
gptkbp:used_in
|
gptkb:algebraic_geometry
gptkb:theoretical_physics
representation theory
|
|
gptkbp:Weyl_group
|
696729600
|
|
gptkbp:bfsParent
|
gptkb:E_8_Lie_algebra
gptkb:E_8_root_system
gptkb:E_8^{(1)}
|
|
gptkbp:bfsLayer
|
7
|