Statements (33)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:automorphismGroup |
gptkb:octonions
|
| gptkbp:centralTo |
trivial
|
| gptkbp:compact |
gptkb:automorphism_group_of_octonions
|
| gptkbp:dimensions |
14
|
| gptkbp:discoveredBy |
gptkb:Élie_Cartan
|
| gptkbp:discoveredIn |
1894
|
| gptkbp:Dynkin_diagram |
G_2 Dynkin diagram
|
| gptkbp:hasFundamentalRepresentation |
7-dimensional
14-dimensional adjoint |
| gptkbp:hasSubgroup |
gptkb:SO(7)
gptkb:Spin(7) |
| https://www.w3.org/2000/01/rdf-schema#label |
G 2 group
|
| gptkbp:Lie_algebra |
g_2
|
| gptkbp:rank |
2
|
| gptkbp:realForm |
compact
split |
| gptkbp:relatedTo |
gptkb:exceptional_Lie_algebra
gptkb:octonions exceptional holonomy exceptional groups Lie algebra g_2 holonomy group G_2 |
| gptkbp:splitForm |
split real form of G_2
|
| gptkbp:type |
gptkb:G_2_root_system
|
| gptkbp:usedIn |
gptkb:theoretical_physics
gptkb:string_theory gptkb:M-theory differential geometry |
| gptkbp:WeylGroupOrder |
12
|
| gptkbp:bfsParent |
gptkb:E_8_group
gptkb:G_2_Lie_algebra |
| gptkbp:bfsLayer |
8
|