Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:Cartan_matrix |
gptkb:A_8_Cartan_matrix
|
| gptkbp:Coxeter_number |
9
|
| gptkbp:dimensions |
8
|
| gptkbp:dual_Coxeter_number |
9
|
| gptkbp:Dynkin_diagram |
gptkb:A_8
|
| gptkbp:highest_root |
sum of all simple roots
|
| https://www.w3.org/2000/01/rdf-schema#label |
A 8 root system
|
| gptkbp:Lie_algebra |
sl(9)
|
| gptkbp:number_of_positive_roots |
36
|
| gptkbp:number_of_roots |
72
|
| gptkbp:number_of_simple_roots |
8
|
| gptkbp:rank |
8
|
| gptkbp:related_Lie_group |
gptkb:SL(9)
gptkb:SU(9) PSU(9) |
| gptkbp:root_lattice |
gptkb:A_8_lattice
|
| gptkbp:simple_roots |
8
|
| gptkbp:symmetry |
gptkb:S_9
|
| gptkbp:type |
A_n
|
| gptkbp:used_in |
gptkb:algebraic_geometry
mathematical physics representation theory Lie algebra theory |
| gptkbp:weight_lattice |
gptkb:A_8_weight_lattice
|
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_9
|
| gptkbp:bfsParent |
gptkb:A_8
|
| gptkbp:bfsLayer |
7
|