Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Lie_group
|
| gptkbp:alsoKnownAs |
sl(9)
|
| gptkbp:application |
gptkb:algebraic_geometry
particle physics representation theory |
| gptkbp:Cartan_matrix |
8x8 matrix
|
| gptkbp:class |
one of the simple Lie algebras of type A_n
|
| gptkbp:dimensions |
80
|
| gptkbp:Dynkin_diagram |
8 nodes in a straight line
|
| gptkbp:field |
gptkb:mathematics
gptkb:theoretical_physics |
| gptkbp:highest_weight_representation |
fundamental representations
|
| https://www.w3.org/2000/01/rdf-schema#label |
A 8
|
| gptkbp:rank |
8
|
| gptkbp:relatedTo |
gptkb:special_linear_group_SL(9)
|
| gptkbp:type |
gptkb:A_8_root_system
gptkb:Lie_group |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_9
|
| gptkbp:bfsParent |
gptkb:E_8
gptkb:PSL(2,7) |
| gptkbp:bfsLayer |
6
|