Statements (26)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:root
|
gptkbp:associatedLieAlgebra |
sl(5)
|
gptkbp:CartanMatrix |
A4 Cartan matrix
|
gptkbp:CoxeterNumber |
5
|
gptkbp:dimensions |
4
|
gptkbp:dualCoxeterNumber |
5
|
gptkbp:Dynkin_diagram |
gptkb:A4
|
gptkbp:highestRoot |
sum of all simple roots
|
https://www.w3.org/2000/01/rdf-schema#label |
root system A4
|
gptkbp:isCrystallographic |
true
|
gptkbp:isIrreducible |
true
|
gptkbp:isReduced |
true
|
gptkbp:isSimplyLaced |
true
|
gptkbp:numberOfPositiveRoots |
10
|
gptkbp:numberOfRoots |
20
|
gptkbp:numberOfSimpleRoots |
4
|
gptkbp:rank |
4
|
gptkbp:relatedTo |
gptkb:special_linear_group_SL(5)
Dynkin type A4 Lie algebra A4 Weyl group S5 |
gptkbp:simpleRoots |
4
|
gptkbp:type |
simple Lie algebra root system
|
gptkbp:Weyl_group |
gptkb:symmetric_group_S5
|
gptkbp:bfsParent |
gptkb:A4_(Dynkin_type)
|
gptkbp:bfsLayer |
7
|