Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:centralTo |
cyclic group of order 2
|
| gptkbp:compact |
compact real form of E7
|
| gptkbp:dimensions |
133
|
| gptkbp:discoveredBy |
gptkb:Élie_Cartan
|
| gptkbp:Dynkin_diagram |
gptkb:E7_Dynkin_diagram
|
| gptkbp:firstDescribed |
1894
|
| gptkbp:fundamentalGroup |
cyclic group of order 2
|
| https://www.w3.org/2000/01/rdf-schema#label |
exceptional Lie group E7
|
| gptkbp:Lie_algebra |
gptkb:E7_Lie_algebra
|
| gptkbp:maximalCompactSubgroup |
(SU(8)/Z2)
|
| gptkbp:orderOfWeylGroup |
2903040
|
| gptkbp:rank |
7
|
| gptkbp:realForm |
3 real forms
|
| gptkbp:relatedTo |
gptkb:exceptional_Lie_group_F4
gptkb:exceptional_Lie_group_E6 gptkb:exceptional_Lie_group_E8 gptkb:exceptional_Lie_group_G2 |
| gptkbp:splitForm |
split real form of E7
|
| gptkbp:type |
gptkb:E7_root_system
|
| gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics gptkb:string_theory representation theory |
| gptkbp:Weyl_group |
gptkb:Weyl_group_of_E7
|
| gptkbp:bfsParent |
gptkb:Lie_group
|
| gptkbp:bfsLayer |
5
|