Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Weyl_group
|
| gptkbp:defines |
the order of a Coxeter element in a Coxeter group
|
| gptkbp:example |
Coxeter number of An is n+1
Coxeter number of Bn is 2n Coxeter number of Dn is 2n-2 Coxeter number of E6 is 12 Coxeter number of E7 is 18 Coxeter number of E8 is 30 Coxeter number of F4 is 12 Coxeter number of G2 is 6 |
| gptkbp:field |
gptkb:mathematics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Coxeter number
|
| gptkbp:namedAfter |
gptkb:H._S._M._Coxeter
|
| gptkbp:notation |
h
|
| gptkbp:property |
for finite irreducible Coxeter groups, the Coxeter number is the highest degree of the fundamental invariants
for simple Lie algebras, the Coxeter number is related to the dual Coxeter number |
| gptkbp:relatedConcept |
gptkb:Weyl_group
gptkb:Coxeter_element dual Coxeter number |
| gptkbp:usedIn |
Lie algebra theory
reflection groups root system theory |
| gptkbp:bfsParent |
gptkb:Weyl_group
|
| gptkbp:bfsLayer |
5
|