Lie algebra E7

URI: https://gptkb.org/entity/Lie_algebra_E7
GPTKB entity
Statements (29)
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
https://www.w3.org/2000/01/rdf-schema#label Lie algebra E7
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:algebraic_group_E7
gptkbp:bfsLayer 7