|
gptkbp:instanceOf
|
gptkb:Lie_group
|
|
gptkbp:acts_as_automorphism_group_of
|
gptkb:octonions
|
|
gptkbp:actsOn
|
7-dimensional vector space
|
|
gptkbp:automorphismGroup
|
gptkb:G_2_Lie_group
|
|
gptkbp:centralTo
|
trivial
|
|
gptkbp:compact_real_form
|
compact G_2
|
|
gptkbp:dimensions
|
14
|
|
gptkbp:discoveredBy
|
gptkb:Élie_Cartan
|
|
gptkbp:discoveredIn
|
1894
|
|
gptkbp:Dynkin_diagram
|
G_2 Dynkin diagram
|
|
gptkbp:fundamentalGroup
|
trivial
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
G 2 Lie group
|
|
gptkbp:Lie_algebra
|
g_2 Lie algebra
|
|
gptkbp:rank
|
2
|
|
gptkbp:realForm
|
compact
split
|
|
gptkbp:relatedTo
|
gptkb:Bott_periodicity
gptkb:7-sphere
gptkb:Weyl_group
gptkb:algebraic_geometry
gptkb:magic
gptkb:holonomy_group
gptkb:E_6_Lie_group
gptkb:E_8_Lie_group
gptkb:Riemannian_geometry
gptkb:string_theory
gptkb:exceptional_Jordan_algebra
gptkb:G_2(q)
gptkb:automorphism_group_of_octonions
gptkb:M-theory
gptkb:exceptional_Lie_algebra
gptkb:octonions
gptkb:E_7_Lie_group
gptkb:F_4_Lie_group
gptkb:finite_group_of_Lie_type
differential geometry
representation theory
exceptional holonomy
special holonomy
G_2(101)
G_2(103)
G_2(107)
G_2(109)
G_2(11)
G_2(113)
G_2(121)
G_2(125)
G_2(127)
G_2(128)
G_2(13)
G_2(131)
G_2(137)
G_2(139)
G_2(149)
G_2(151)
G_2(157)
G_2(163)
G_2(169)
G_2(17)
G_2(173)
G_2(179)
G_2(181)
G_2(19)
G_2(191)
G_2(193)
G_2(197)
G_2(199)
G_2(2)
G_2(2)'
G_2(23)
G_2(25)
G_2(27)
G_2(29)
G_2(3)
G_2(31)
G_2(32)
G_2(37)
G_2(4)
G_2(41)
G_2(43)
G_2(47)
G_2(49)
G_2(5)
G_2(53)
G_2(59)
G_2(61)
G_2(64)
G_2(67)
G_2(7)
G_2(71)
G_2(73)
G_2(79)
G_2(8)
G_2(81)
G_2(83)
G_2(89)
G_2(97)
special holonomy manifold
|
|
gptkbp:split_real_form
|
split G_2
|
|
gptkbp:type
|
gptkb:G_2_root_system
|
|
gptkbp:Weyl_group
|
gptkb:dihedral_group_of_order_12
|
|
gptkbp:bfsParent
|
gptkb:E_6_Lie_group
gptkb:E_8_Lie_group
|
|
gptkbp:bfsLayer
|
8
|