Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:appearsIn |
classification of simple Lie algebras
|
| gptkbp:associated_Lie_group |
gptkb:G2_(group)
|
| gptkbp:Cartan_matrix |
[[2, -3], [-1, 2]]
|
| gptkbp:Dynkin_diagram |
two nodes connected by a triple bond with an arrow
|
| gptkbp:has_root_lengths |
two distinct lengths
|
| gptkbp:has_simple_roots |
two
|
| https://www.w3.org/2000/01/rdf-schema#label |
G2 root system
|
| gptkbp:Lie_algebra |
gptkb:G2_Lie_algebra
|
| gptkbp:long_roots |
6
|
| gptkbp:notation |
gptkb:G2
|
| gptkbp:number_of_positive_roots |
6
|
| gptkbp:number_of_roots |
12
|
| gptkbp:rank |
2
|
| gptkbp:relatedTo |
gptkb:automorphism_group_of_octonions
gptkb:octonions |
| gptkbp:short_roots |
6
|
| gptkbp:symmetry |
gptkb:dihedral_group_of_order_12
|
| gptkbp:type |
gptkb:exceptional_Lie_algebra_root_system
|
| gptkbp:used_in |
gptkb:geometry
physics representation theory theory of algebraic groups |
| gptkbp:Weyl_group |
12
|
| gptkbp:bfsParent |
gptkb:G_2
gptkb:exceptional_Lie_group_G2 |
| gptkbp:bfsLayer |
6
|