Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:automorphismGroup |
gptkb:F_4_Lie_group
|
| gptkbp:Cartan_matrix |
[[2,-1,0,0],[-1,2,-2,0],[0,-1,2,-1],[0,0,-1,2]]
|
| gptkbp:dimensions |
52
|
| gptkbp:discoveredBy |
gptkb:Élie_Cartan
|
| gptkbp:Dynkin_diagram |
o=>=o---o---o
|
| gptkbp:rank |
4
complex numbers |
| gptkbp:realForm |
compact real form
split real form FII (quaternionic form) |
| gptkbp:relatedGroup |
gptkb:F_4_Lie_group
|
| gptkbp:relatedTo |
gptkb:Albert_algebra
gptkb:exceptional_Jordan_algebra gptkb:octonions |
| gptkbp:type |
gptkb:exceptional_Lie_algebra
F_4 root system |
| gptkbp:used_in |
representation theory
theory of Lie groups exceptional structures in mathematics |
| gptkbp:Weyl_group |
1152
|
| gptkbp:bfsParent |
gptkb:E_6_Lie_algebra
gptkb:D_n_Lie_algebra |
| gptkbp:bfsLayer |
10
|
| https://www.w3.org/2000/01/rdf-schema#label |
F 4 Lie algebra
|