|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:adjoint_representation_dimension
|
133
|
|
gptkbp:appearsIn
|
gptkb:string_theory
gptkb:supergravity
theory of Lie algebras
|
|
gptkbp:centralTo
|
cyclic group of order 2
|
|
gptkbp:class
|
gptkb:Élie_Cartan
|
|
gptkbp:compact
|
compact E_7
|
|
gptkbp:dimensions
|
133
|
|
gptkbp:discoveredBy
|
gptkb:Wilhelm_Killing
|
|
gptkbp:Dynkin_diagram
|
gptkb:E_7_diagram
|
|
gptkbp:field_of_definition
|
gptkb:octonions
quaternions
complex numbers
real numbers
|
|
gptkbp:fundamentalGroup
|
gptkb:Z/2Z
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
E 7 Lie group
|
|
gptkbp:rank
|
7
|
|
gptkbp:realForm
|
3
|
|
gptkbp:related_algebra
|
gptkb:E_7_Lie_algebra
|
|
gptkbp:relatedTo
|
gptkb:E_6_Lie_group
gptkb:E_8_Lie_group
gptkb:F_4_Lie_group
gptkb:G_2_Lie_group
|
|
gptkbp:simply_connected
|
yes
|
|
gptkbp:smallest_faithful_representation
|
56-dimensional
|
|
gptkbp:split_form
|
split E_7
|
|
gptkbp:type
|
gptkb:Lie_group
gptkb:E_7_root_system
|
|
gptkbp:used_in
|
gptkb:algebraic_geometry
gptkb:theoretical_physics
exceptional holonomy
|
|
gptkbp:bfsParent
|
gptkb:E_6_Lie_group
gptkb:E_7_Lie_algebra
gptkb:E_8_Lie_group
|
|
gptkbp:bfsLayer
|
8
|