G2 (Lie group)

GPTKB entity

Statements (46)
Predicate Object
gptkbp:instanceOf gptkb:Lie_group
gptkbp:automorphismGroup gptkb:octonions
trivial
gptkbp:centralTo trivial
gptkbp:dimensions 14
gptkbp:discoveredBy gptkb:Élie_Cartan
gptkbp:discoveredIn 1894
gptkbp:Dynkin_diagram gptkb:G2_Dynkin_diagram
gptkbp:fundamentalGroup trivial
https://www.w3.org/2000/01/rdf-schema#label G2 (Lie group)
gptkbp:rank 2
gptkbp:realForm compact form
split form
gptkbp:relatedTo gptkb:Weyl_group
gptkb:algebraic_geometry
gptkb:G2_Lie_algebra
gptkb:Killing_form
gptkb:Lie_group
gptkb:exceptional_Jordan_algebra
gptkb:maximal_torus
gptkb:octonions
representation theory
Cartan subalgebra
Lie bracket
adjoint representation
structure constants
Borel subgroup
exceptional group
fundamental representation
exceptional holonomy
split real form
trivial center
special holonomy
simply connected group
G2 manifold
G2 geometry
G2 holonomy
G2 lattice
G2 structure
G2 symmetry
Weyl group of order 12
root subgroup
trivial fundamental group
gptkbp:type gptkb:G2_root_system
gptkbp:bfsParent gptkb:E6_(Lie_group)
gptkbp:bfsLayer 7