E 7 Lie algebra

URI: https://gptkb.org/entity/E_7_Lie_algebra
GPTKB entity
Statements (37)
Predicate Object
gptkbp:instanceOf gptkb:Lie_group
gptkbp:adjointRepresentationDimension 133
gptkbp:automorphismGroup gptkb:E_7_adjoint_group
gptkbp:Cartan_matrix gptkb:E_7_Cartan_matrix
gptkbp:centralTo trivial
gptkbp:dimensions 133
gptkbp:discoveredBy gptkb:Wilhelm_Killing
gptkb:Élie_Cartan
gptkbp:Dynkin_diagram gptkb:E_7_Dynkin_diagram
gptkbp:firstClassified late 19th century
gptkbp:fundamentalRepresentationDimension 56
https://www.w3.org/2000/01/rdf-schema#label E 7 Lie algebra
gptkbp:rank 7
complex numbers
gptkbp:realForm gptkb:E_{7(-133)}
gptkb:E_{7(-25)}
gptkb:E_{7(-5)}
gptkb:E_{7(7)}
gptkbp:relatedGroup gptkb:E_7_Lie_group
gptkbp:relatedTo gptkb:E_6_Lie_algebra
gptkb:exceptional_Jordan_algebra
gptkb:E_8_Lie_algebra
gptkb:Freudenthal_magic_square
gptkb:octonions
gptkbp:type gptkb:Lie_group
gptkb:E_7_root_system
gptkb:exceptional_Lie_algebra
gptkbp:usedIn gptkb:theoretical_physics
gptkb:string_theory
grand unified theories
gptkbp:Weyl_group 2903040
gptkbp:bfsParent gptkb:E_{7(-133)}
gptkb:E_7_Cartan_matrix
gptkb:E_7_root_system
gptkb:E_7^{(1)}
gptkb:D_n_Lie_algebra
gptkbp:bfsLayer 7