Statements (30)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:affiliatedWith |
gptkb:Lie_group
|
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:dimensions |
133
|
| gptkbp:discoveredBy |
gptkb:Wilhelm_Killing
gptkb:Élie_Cartan |
| gptkbp:discoveredIn |
late 19th century
|
| gptkbp:Dynkin_diagram |
gptkb:E_7_Dynkin_diagram
|
| gptkbp:hasCompactForm |
compact E_7
|
| gptkbp:hasFundamentalRepresentation |
56-dimensional representation
|
| gptkbp:hasSubgroup |
gptkb:E_8_group
gptkb:SL(2) gptkb:E_6_group gptkb:SO(12) gptkb:SU(8) |
| gptkbp:hasWeylGroupOrder |
2903040
|
| https://www.w3.org/2000/01/rdf-schema#label |
E 7 group
|
| gptkbp:rank |
7
|
| gptkbp:realForm |
gptkb:E_{7(-25)}
gptkb:E_{7(-5)} gptkb:E_{7(7)} |
| gptkbp:relatedTo |
gptkb:string_theory
gptkb:exceptional_Jordan_algebra gptkb:supergravity |
| gptkbp:type |
gptkb:E_7_root_system
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics representation theory |
| gptkbp:bfsParent |
gptkb:E_8_group
|
| gptkbp:bfsLayer |
8
|