|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
gptkb:Z/2Z
F_4 (mathematics)
|
|
gptkbp:Cartan_matrix
|
gptkb:E6_Cartan_matrix
|
|
gptkbp:centralTo
|
gptkb:Z/3Z
|
|
gptkbp:dimensions
|
78
|
|
gptkbp:discoveredBy
|
gptkb:Élie_Cartan
|
|
gptkbp:Dynkin_diagram
|
E6 Dynkin diagram
|
|
gptkbp:hasAdjointRepresentation
|
78-dimensional representation
|
|
gptkbp:hasChevalleyGroup
|
E6 Chevalley group
|
|
gptkbp:hasComplexForm
|
E_6 complex Lie group
|
|
gptkbp:hasConnection
|
true
|
|
gptkbp:hasFundamentalRepresentation
|
27-dimensional representation
|
|
gptkbp:hasSubgroup
|
gptkb:E_8_(mathematics)
E_7 (mathematics)
|
|
gptkbp:hasWeylGroupOrder
|
51840
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E 6 (mathematics)
|
|
gptkbp:isSimple
|
true
|
|
gptkbp:Lie_algebra
|
gptkb:E_6_Lie_algebra
|
|
gptkbp:rank
|
6
|
|
gptkbp:realForm
|
compact real form
split real form
|
|
gptkbp:relatedTo
|
gptkb:E_8_(mathematics)
E_5 (mathematics)
E_7 (mathematics)
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E6_root_system
|
|
gptkbp:usedIn
|
gptkb:theoretical_physics
grand unified theories
|
|
gptkbp:bfsParent
|
gptkb:E_6_Lie_algebra
|
|
gptkbp:bfsLayer
|
8
|