|
gptkbp:instanceOf
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gptkb:Lie_group
|
|
gptkbp:automorphismGroup
|
gptkb:octonions
|
|
gptkbp:centralTo
|
trivial group
|
|
gptkbp:complexification
|
gptkb:G2_(complex_Lie_group)
|
|
gptkbp:dimensions
|
14
|
|
gptkbp:discoveredBy
|
gptkb:Wilhelm_Killing
gptkb:Élie_Cartan
|
|
gptkbp:Dynkin_diagram
|
gptkb:G2_Dynkin_diagram
|
|
gptkbp:fundamentalGroup
|
trivial group
|
|
gptkbp:holonomy_group_of
|
7-dimensional Riemannian manifolds
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
G2 Lie group
|
|
gptkbp:maximal_compact_subgroup
|
gptkb:SU(2)_×_SU(2)
|
|
gptkbp:rank
|
2
|
|
gptkbp:realForm
|
split real form
compact form
|
|
gptkbp:relatedTo
|
gptkb:Cayley_algebra
gptkb:holonomy_group
gptkb:E7_Lie_group
gptkb:Frobenius_group
gptkb:SU(3)
gptkb:exceptional_Jordan_algebra
gptkb:SO(7)
gptkb:Spin(7)
gptkb:exceptional_Lie_algebra
gptkb:octonions
gptkb:E8_Lie_group
gptkb:E6_Lie_group
gptkb:F4_Lie_group
triality
subgroup of E6
subgroup of E7
subgroup of E8
subgroup of F4
subgroup of GL(7, C)
subgroup of GL(7, R)
subgroup of SO(7)
subgroup of SO(8)
subgroup of Spin(7)
subgroup of Spin(8)
|
|
gptkbp:type
|
gptkb:G2_root_system
|
|
gptkbp:used_in
|
gptkb:theoretical_physics
gptkb:string_theory
gptkb:M-theory
differential geometry
|
|
gptkbp:Weyl_group
|
gptkb:dihedral_group_of_order_12
12
|
|
gptkbp:bfsParent
|
gptkb:octonions
|
|
gptkbp:bfsLayer
|
6
|