Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
|
| gptkbp:Cartan_matrix |
[[2,-1,0,0],[ -1,2,-1,0],[0,-1,2,-1],[0,0,-1,2]]
|
| gptkbp:correspondsTo |
gptkb:Lie_algebra_sl(5)
gptkb:root_system_A4 gptkb:special_linear_group_SL(5) |
| gptkbp:Dynkin_diagram |
o—o—o—o
|
| gptkbp:hasConnection |
true
|
| gptkbp:hasDual |
gptkb:A4_(Dynkin_type)
|
| gptkbp:isSimplyLaced |
true
|
| gptkbp:isSubdiagramOf |
gptkb:An_(Dynkin_type)
|
| gptkbp:nodes |
5
|
| gptkbp:numberOfPositiveRoots |
10
|
| gptkbp:numberOfRoots |
20
|
| gptkbp:numberOfSimpleRoots |
4
|
| gptkbp:rank |
4
|
| gptkbp:usedIn |
representation theory
theory of Lie groups algebraic groups classification of semisimple Lie algebras |
| gptkbp:Weyl_group |
gptkb:symmetric_group_S5
|
| gptkbp:bfsParent |
gptkb:SU(5)
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
A4 (Dynkin type)
|