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E 7
URI:
https://gptkb.org/entity/E_7
GPTKB entity
Statements (29)
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