E 8 Lie algebra

URI: https://gptkb.org/entity/E_8_Lie_algebra

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Lie_group
gptkbp:Cartan_matrix	gptkb:E_8_Cartan_matrix
gptkbp:dimensions	248
gptkbp:discoveredBy	gptkb:Wilhelm_Killing gptkb:Élie_Cartan
gptkbp:discoveredIn	late 19th century
gptkbp:Dynkin_diagram	gptkb:E_8_Dynkin_diagram
gptkbp:hasNoCenter	true
gptkbp:hasNoOuterAutomorphisms	true
https://www.w3.org/2000/01/rdf-schema#label	E 8 Lie algebra
gptkbp:isCompactForm	gptkb:E_8_(compact_real_form)
gptkbp:isComplexSimpleLieAlgebra	true
gptkbp:isSimple	true
gptkbp:isSimplyLaced	true
gptkbp:isSplitForm	gptkb:E_8_(split_real_form)
gptkbp:rank	8 complex numbers
gptkbp:relatedGroup	gptkb:E_8_(mathematics)
gptkbp:relatedTo	gptkb:E_8_bundle gptkb:E_8_code gptkb:E_8_geometry gptkb:E_8_graph gptkb:E_8_group gptkb:E_8_modular_form gptkb:E_8_quiver gptkb:E_8_representation_theory gptkb:E_8_singularity gptkb:E_8_singularity_theory gptkb:exceptional_Jordan_algebra gptkb:E_8_lattice gptkb:E_8_manifold gptkb:E_8_polytope gptkb:octonions
gptkbp:type	gptkb:E_8_root_system gptkb:exceptional_Lie_algebra
gptkbp:usedIn	gptkb:theoretical_physics gptkb:string_theory grand unified theories
gptkbp:Weyl_group	gptkb:E_8_Weyl_group
gptkbp:bfsParent	gptkb:E_8 gptkb:E_8_root_lattice
gptkbp:bfsLayer	6