E8 (Lie group)

URI: https://gptkb.org/entity/E8_(Lie_group)

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Lie_group
gptkbp:adjoint_representation_dimension	248
gptkbp:automorphismGroup	trivial
gptkbp:centralTo	trivial
gptkbp:class	gptkb:Élie_Cartan
gptkbp:compact_form_is	simply connected
gptkbp:compact_real_form	E8
gptkbp:dimensions	248
gptkbp:discoveredBy	gptkb:Wilhelm_Killing
gptkbp:Dynkin_diagram	E8
gptkbp:field_of_mathematics	gptkb:Lie_theory gptkb:algebra gptkb:geometry gptkb:theoretical_physics
gptkbp:formsComplexWith	E8(C)
gptkbp:fundamentalGroup	trivial
gptkbp:has_root_system	gptkb:E8_root_system
https://www.w3.org/2000/01/rdf-schema#label	E8 (Lie group)
gptkbp:rank	8
gptkbp:realForm	3
gptkbp:relatedTo	gptkb:Bott_periodicity gptkb:topology gptkb:E8_lattice gptkb:E8_Lie_algebra gptkb:string_theory gptkb:exceptional_Jordan_algebra gptkb:exceptional_Lie_groups gptkb:octonions mathematical physics representation theory Grand Unified Theory
gptkbp:root_system_rank	8
gptkbp:root_system_size	240
gptkbp:simply_connected	yes
gptkbp:split_form_is	adjoint
gptkbp:split_real_form	E8(8)
gptkbp:type	gptkb:Lie_group
gptkbp:Weyl_group	696729600
gptkbp:bfsParent	gptkb:E8(q)
gptkbp:bfsLayer	6