Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:adjoint_form |
gptkb:E7_adjoint_group
|
| gptkbp:automorphismGroup |
trivial
|
| gptkbp:Cartan_matrix |
gptkb:E7_Cartan_matrix
|
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:compact_real_form |
E7
|
| gptkbp:dimensions |
133
|
| gptkbp:discoveredBy |
gptkb:Wilhelm_Killing
|
| gptkbp:discoveredIn |
1887
|
| gptkbp:Dynkin_diagram |
gptkb:E7_Dynkin_diagram
|
| gptkbp:fundamentalGroup |
cyclic group of order 2
|
| gptkbp:maximal_compact_subgroup |
(SU(8)/Z2) in E7(7)
|
| gptkbp:rank |
7
|
| gptkbp:realForm |
3
|
| gptkbp:relatedTo |
gptkb:string_theory
gptkb:exceptional_Jordan_algebra gptkb:Freudenthal_magic_square gptkb:supergravity gptkb:algebraic_group_E7 |
| gptkbp:simply_connected |
yes
|
| gptkbp:split_real_form |
E7(7)
|
| gptkbp:type |
gptkb:Lie_group
gptkb:E7_root_system |
| gptkbp:used_in |
gptkb:algebraic_geometry
gptkb:theoretical_physics representation theory |
| gptkbp:Weyl_group |
2903040
|
| gptkbp:bfsParent |
gptkb:G2_Lie_group
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
E7 Lie group
|