F4 root system

URI: https://gptkb.org/entity/F4_root_system

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:root
gptkbp:dimension_of_associated_Lie_algebra	52
gptkbp:Dynkin_diagram	o—o=>=o—o
gptkbp:has_long_roots	yes
gptkbp:has_short_roots	yes
https://www.w3.org/2000/01/rdf-schema#label	F4 root system
gptkbp:Lie_algebra	gptkb:F4_Lie_algebra
gptkbp:number_of_roots	48
gptkbp:rank	4
gptkbp:relatedTo	gptkb:octonions gptkb:E6_root_system gptkb:24-cell B4 root system
gptkbp:symmetry	gptkb:Weyl_group_of_F4
gptkbp:type	gptkb:exceptional_Lie_algebra_root_system
gptkbp:used_in	gptkb:Lie_theory gptkb:algebraic_geometry gptkb:theoretical_physics representation theory
gptkbp:Weyl_group	1152
gptkbp:bfsParent	gptkb:exceptional_Lie_group_F4
gptkbp:bfsLayer	6