Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
gptkb:Lie_theory
representation theory algebraic combinatorics |
| gptkbp:defines |
a product of all simple reflections in a Coxeter group, in some order
|
| gptkbp:field |
gptkb:algebra
gptkb:mathematics group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Coxeter element
|
| gptkbp:namedAfter |
gptkb:H._S._M._Coxeter
|
| gptkbp:property |
all Coxeter elements are conjugate in finite Coxeter groups
order of a Coxeter element depends on the Coxeter group |
| gptkbp:relatedConcept |
gptkb:Weyl_group
reflection |
| gptkbp:relatedTo |
gptkb:Weyl_group
|
| gptkbp:bfsParent |
gptkb:Weyl_group
|
| gptkbp:bfsLayer |
5
|