Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:automorphismGroup |
gptkb:F4_group
|
| gptkbp:Cartan_matrix |
F4 Cartan matrix
|
| gptkbp:centralTo |
trivial
|
| gptkbp:compact_real_form |
yes
|
| gptkbp:dimensions |
52
|
| gptkbp:discoveredBy |
gptkb:Élie_Cartan
|
| gptkbp:Dynkin_diagram |
gptkb:F4
|
| https://www.w3.org/2000/01/rdf-schema#label |
F4 Lie algebra
|
| gptkbp:Killing_form |
non-degenerate
|
| gptkbp:rank |
4
complex numbers |
| gptkbp:realForm |
3
|
| gptkbp:relatedTo |
gptkb:Albert_algebra
gptkb:octonions |
| gptkbp:split_real_form |
yes
|
| gptkbp:type |
gptkb:exceptional_Lie_algebra
gptkb:F4_root_system |
| gptkbp:used_in |
theory of Lie groups
theory of algebraic groups |
| gptkbp:Weyl_group |
1152
|
| gptkbp:bfsParent |
gptkb:exceptional_Lie_group_F4
|
| gptkbp:bfsLayer |
6
|