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
|
https://www.w3.org/2000/01/rdf-schema#label |
A n root system
|
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
permutation group SU(n+1) |
gptkbp:simple_roots |
n
|
gptkbp:type |
simply-laced
|
gptkbp:usedIn |
gptkb:algebraic_geometry
gptkb:theoretical_physics representation theory combinatorics |
gptkbp:Weyl_group |
gptkb:symmetric_group_S_{n+1}
|
gptkbp:bfsParent |
gptkb:A_n_root_lattice
|
gptkbp:bfsLayer |
6
|