Lie algebra E7

URI: https://gptkb.org/entity/Lie_algebra_E7

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:Lie_group
gptkbp:automorphismGroup	gptkb:Z/2Z
gptkbp:Cartan_matrix	gptkb:E7_Cartan_matrix
gptkbp:centralTo	trivial
gptkbp:dimensions	133
gptkbp:discoveredBy	gptkb:Wilhelm_Killing gptkb:Élie_Cartan
gptkbp:Dynkin_diagram	E7
gptkbp:has_compact_real_form	yes
gptkbp:has_fundamental_representation	56-dimensional
gptkbp:has_split_real_form	yes
gptkbp:rank	7 complex numbers
gptkbp:relatedGroup	Lie group E7
gptkbp:relatedTo	gptkb:E6_Lie_algebra gptkb:E8_Lie_algebra gptkb:exceptional_Jordan_algebra gptkb:Freudenthal_magic_square gptkb:octonions gptkb:F4_Lie_algebra
gptkbp:type	gptkb:exceptional_Lie_algebra gptkb:E7_root_system
gptkbp:used_in	gptkb:algebraic_geometry gptkb:theoretical_physics gptkb:string_theory
gptkbp:Weyl_group	2903040
gptkbp:bfsParent	gptkb:Tits–Freudenthal_magic_square
gptkbp:bfsLayer	8
https://www.w3.org/2000/01/rdf-schema#label	Lie algebra E7