|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:Cartan_matrix
|
E8 Cartan matrix
|
|
gptkbp:centralTo
|
trivial
|
|
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
|
|
gptkbp:has_240_roots
|
true
|
|
gptkbp:has_highest_root
|
theta (θ)
|
|
gptkbp:has_maximal_torus
|
8-dimensional
|
|
gptkbp:has_no_center
|
true
|
|
gptkbp:has_no_outer_automorphisms
|
true
|
|
gptkbp:has_outer_automorphism_group
|
trivial
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E 8 (Lie algebra)
|
|
gptkbp:is_compact_form
|
compact real form of E8
|
|
gptkbp:is_compact_real_form
|
E8(-248)
|
|
gptkbp:is_complex
|
true
|
|
gptkbp:is_simply_laced
|
true
|
|
gptkbp:is_split_real_form
|
E8(8)
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:rank
|
8
complex numbers
|
|
gptkbp:relatedGroup
|
E8 (mathematics)
|
|
gptkbp:relatedTo
|
gptkb:E8_lattice
gptkb:Gosset_polytope_4_21
gptkb:string_theory
gptkb:Bourbaki_group
gptkb:exceptional_Jordan_algebra
gptkb:Freudenthal_magic_square
gptkb:octonions
gptkb:E8_Lie_group
gptkb:E8_manifold
E8 bundle
E8 geometry
E8 modular form
E8 quiver
E8 singularity
E8 structure
E8 symmetry
E8 x E8 string theory
|
|
gptkbp:type
|
gptkb:E8_root_system
gptkb:exceptional_Lie_algebra
|
|
gptkbp:used_in
|
gptkb:theoretical_physics
gptkb:string_theory
grand unified theories
|
|
gptkbp:Weyl_group
|
696729600
|
|
gptkbp:bfsParent
|
gptkb:E_8_(split_real_form)
|
|
gptkbp:bfsLayer
|
8
|