Lie algebra E8

URI: https://gptkb.org/entity/Lie_algebra_E8

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Lie_group
gptkbp:automorphismGroup	E8 (adjoint group)
gptkbp:Cartan_matrix	E8 Cartan matrix
gptkbp:centralTo	trivial
gptkbp:class	gptkb:Élie_Cartan
gptkbp:dimensions	248
gptkbp:discoveredBy	gptkb:Wilhelm_Killing
gptkbp:Dynkin_diagram	gptkb:E8_Dynkin_diagram
gptkbp:rank	8 complex numbers
gptkbp:realForm	E8(-24) E8(8) E8(-248)
gptkbp:relatedGroup	E8 (mathematics)
gptkbp:relatedTo	gptkb:E8_lattice gptkb:Gosset_polytope_4_21 gptkb:sphere_packing gptkb:string_theory 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 exceptional groups
gptkbp:type	gptkb:E8_root_system gptkb:Lie_group gptkb:exceptional_Lie_algebra
gptkbp:used_in	gptkb:theoretical_physics gptkb:string_theory grand unified theories
gptkbp:Weyl_group	696729600
gptkbp:bfsParent	gptkb:Aut(E8)
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	Lie algebra E8