|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
F4 adjoint 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
|
|
gptkbp:fundamental_representations
|
1274-dimensional
26-dimensional
273-dimensional
52-dimensional
|
|
gptkbp:highest_root
|
2α1 + 3α2 + 4α3 + 2α4
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Lie algebra F4
|
|
gptkbp:rank
|
4
|
|
gptkbp:realForm
|
3
|
|
gptkbp:relatedGroup
|
gptkb:F4_Lie_group
|
|
gptkbp:relatedTo
|
gptkb:Albert_algebra
gptkb:exceptional_Jordan_algebra
gptkb:octonions
exceptional groups
Magic Square construction
|
|
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
theory of algebraic geometry
theory of particle physics
|
|
gptkbp:Weyl_group
|
1152
|
|
gptkbp:year_classified
|
1894
|
|
gptkbp:bfsParent
|
gptkb:Tits–Freudenthal_magic_square
|
|
gptkbp:bfsLayer
|
8
|