root system E8

URI: https://gptkb.org/entity/root_system_E8

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:root
gptkbp:all_roots_have_same_length	true
gptkbp:dimension_of_ambient_space	8
gptkbp:discoveredBy	gptkb:Wilhelm_Killing
gptkbp:discoveredIn	late 19th century
gptkbp:Dynkin_diagram	E8
gptkbp:has_no_proper_subsystems_of_full_rank	true
gptkbp:is_associated_Lie_algebra	gptkb:E8_Lie_algebra
gptkbp:is_associated_Lie_group	gptkb:E8_Lie_group
gptkbp:is_crystallographic	true
gptkbp:is_irreducible	true
gptkbp:is_simply_laced	true
gptkbp:number_of_roots	240
gptkbp:rank	8
gptkbp:related_lattice	gptkb:E8_lattice
gptkbp:relatedTo	gptkb:Gosset_polytope_4_21 gptkb:exceptional_Lie_groups gptkb:octonions
gptkbp:type	exceptional root system
gptkbp:used_in	gptkb:Lie_theory gptkb:algebraic_geometry gptkb:theoretical_physics gptkb:string_theory
gptkbp:Weyl_group	696729600
gptkbp:bfsParent	gptkb:Aut(E8)
gptkbp:bfsLayer	7
https://www.w3.org/2000/01/rdf-schema#label	root system E8