Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:root
|
| gptkbp:appearsIn |
classification of semisimple Lie algebras
|
| gptkbp:associatedWith |
gptkb:special_linear_Lie_algebra
|
| gptkbp:correspondsTo |
sl(n+1)
|
| gptkbp:dimensions |
n
|
| gptkbp:Dynkin_diagram |
A_n
|
| gptkbp:number_of_positive_roots |
n(n+1)/2
|
| gptkbp:number_of_roots |
n(n+1)
|
| gptkbp:partOf |
Lie algebra classification
|
| gptkbp:rank |
n
|
| gptkbp:relatedTo |
gptkb:geometry
gptkb:permutation_group SU(n+1) |
| gptkbp:simple_roots |
n
|
| gptkbp:type |
simply-laced
|
| gptkbp:usedIn |
gptkb:combinatorics
gptkb:algebraic_geometry gptkb:theoretical_physics representation theory |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S_{n+1}
|
| gptkbp:bfsParent |
gptkb:A_n_Lie_algebra
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
A n root system
|