E 7

URI: https://gptkb.org/entity/E_7

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Lie_group complex Lie algebra
gptkbp:affiliatedWith	gptkb:exceptional_Lie_groups
gptkbp:Cartan_matrix	gptkb:E_7_Cartan_matrix
gptkbp:centralTo	cyclic group of order 2
gptkbp:developedBy	gptkb:Élie_Cartan
gptkbp:dimensions	133
gptkbp:discoveredBy	gptkb:Wilhelm_Killing
gptkbp:Dynkin_diagram	gptkb:E7_diagram
gptkbp:fundamentalRepresentation	56-dimensional
https://www.w3.org/2000/01/rdf-schema#label	E 7
gptkbp:rank	7
gptkbp:realForm	gptkb:E_{7(-133)} gptkb:E_{7(-25)} gptkb:E_{7(-5)} gptkb:E_{7(7)}
gptkbp:relatedTo	gptkb:E_6 gptkb:E_8 gptkb:G_2 gptkb:Freudenthal_magic_square gptkb:octonions F_4
gptkbp:type	gptkb:E_7_root_system
gptkbp:usedIn	gptkb:theoretical_physics gptkb:string_theory gptkb:supergravity
gptkbp:Weyl_group	2903040
gptkbp:bfsParent	gptkb:Weyl_group
gptkbp:bfsLayer	5