Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
complex Lie algebra |
| gptkbp:adjoint_representation_dimension |
133
|
| gptkbp:automorphismGroup |
trivial
|
| gptkbp:Cartan_matrix |
gptkb:E7_Cartan_matrix
|
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:class |
gptkb:Élie_Cartan
|
| gptkbp:compact_real_form |
E7
|
| gptkbp:dimensions |
133
|
| gptkbp:discoveredBy |
gptkb:Wilhelm_Killing
|
| gptkbp:Dynkin_diagram |
E7
|
| gptkbp:field_of_definition |
complex numbers
real numbers |
| gptkbp:fundamental_representation_dimension |
56
|
| https://www.w3.org/2000/01/rdf-schema#label |
E7 (mathematics)
|
| gptkbp:rank |
7
|
| gptkbp:realForm |
3
|
| gptkbp:relatedTo |
gptkb:Lie_group
gptkb:Freudenthal_magic_square gptkb:octonions E6 (mathematics) E8 (mathematics) F4 (mathematics) G2 (mathematics) |
| gptkbp:split_real_form |
E7(7)
|
| gptkbp:type |
gptkb:E7_root_system
|
| gptkbp:used_in |
gptkb:theoretical_physics
gptkb:string_theory gptkb:supergravity |
| gptkbp:Weyl_group |
2903040
|
| gptkbp:bfsParent |
gptkb:E_VII
gptkb:E7(-133) |
| gptkbp:bfsLayer |
8
|