|
gptkbp:instanceOf
|
gptkb:root
|
|
gptkbp:Coxeter_number
|
30
|
|
gptkbp:dimension_of_associated_Lie_algebra
|
248
|
|
gptkbp:discoveredBy
|
gptkb:Wilhelm_Killing
|
|
gptkbp:discoveredIn
|
1887
|
|
gptkbp:dual_Coxeter_number
|
30
|
|
gptkbp:Dynkin_diagram
|
gptkb:E_8_Dynkin_diagram
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E 8 root system
|
|
gptkbp:Lie_algebra
|
gptkb:E_8_Lie_algebra
|
|
gptkbp:number_of_roots
|
240
|
|
gptkbp:number_of_simple_roots
|
8
|
|
gptkbp:rank
|
8
|
|
gptkbp:relatedTo
|
gptkb:algebraic_geometry
gptkb:E_8_group
gptkb:E_8_x_E_8_heterotic_string
gptkb:Gosset_polytope_4_21
gptkb:Niemeier_lattice
gptkb:modular_moonshine
gptkb:string_theory
gptkb:ADE_classification
gptkb:exceptional_Lie_groups
gptkb:E_8_lattice
gptkb:E_8_manifold
gptkb:Leech_lattice
gptkb:Borcherds_algebra
gptkb:octonions
mathematical physics
modular forms
representation theory
singularity theory
even lattice
sphere packing in 8 dimensions
unimodular lattice
|
|
gptkbp:root_length
|
all roots have the same length
|
|
gptkbp:symmetry
|
gptkb:E_8_Weyl_group
|
|
gptkbp:type
|
exceptional root system
|
|
gptkbp:used_in
|
gptkb:string_theory
coding theory
mathematical physics
theory of Lie groups
lattice theory
sphere packing
theory of Lie algebras
|
|
gptkbp:Weyl_group
|
696729600
|
|
gptkbp:bfsParent
|
gptkb:E_8
|
|
gptkbp:bfsLayer
|
6
|