|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
trivial
|
|
gptkbp:Cartan_matrix
|
E8 Cartan matrix
|
|
gptkbp:centralTo
|
trivial
|
|
gptkbp:compact_form_is
|
simply connected
|
|
gptkbp:dimensions
|
248
|
|
gptkbp:discoveredBy
|
gptkb:Wilhelm_Killing
gptkb:Élie_Cartan
|
|
gptkbp:discoveredIn
|
late 19th century
|
|
gptkbp:Dynkin_diagram
|
gptkb:E8_Dynkin_diagram
|
|
gptkbp:fundamentalGroup
|
trivial
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E8 Lie group
|
|
gptkbp:number_of_negative_roots
|
120
|
|
gptkbp:number_of_positive_roots
|
120
|
|
gptkbp:number_of_roots
|
240
|
|
gptkbp:rank
|
8
|
|
gptkbp:realForm
|
split real form
compact form
quasi-split form
|
|
gptkbp:relatedTo
|
gptkb:Weyl_group
gptkb:algebraic_geometry
gptkb:geometry
gptkb:topology
gptkb:E8_lattice
gptkb:E8_Lie_algebra
gptkb:string_theory
gptkb:exceptional_groups_of_Lie_type
gptkb:exceptional_Lie_algebras
gptkb:Borcherds_algebra
gptkb:octonions
gptkb:E8×E8_heterotic_string
mathematical physics
modular forms
representation theory
algebraic groups
lattice theory
exceptional holonomy
finite simple groups
|
|
gptkbp:split_real_form_is
|
split real form of E8
|
|
gptkbp:type
|
gptkb:E8_root_system
gptkb:Lie_group
|
|
gptkbp:used_in
|
gptkb:theoretical_physics
gptkb:string_theory
grand unified theories
|
|
gptkbp:Weyl_group
|
gptkb:E8_Weyl_group
|
|
gptkbp:bfsParent
|
gptkb:E8_lattice
|
|
gptkbp:bfsLayer
|
6
|