Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Weyl_group
gptkb:group_of_people |
| gptkbp:actsOn |
gptkb:Euclidean_space
|
| gptkbp:containsElement |
affine reflection
|
| gptkbp:hasApplication |
gptkb:Macdonald_polynomials
algebraic combinatorics crystal bases modular representation theory |
| gptkbp:hasFundamentalDomain |
alcove
|
| gptkbp:hasType |
Ãn, B̃n, C̃n, D̃n, Ẽ6, Ẽ7, Ẽ8, F̃4, G̃2
|
| https://www.w3.org/2000/01/rdf-schema#label |
affine Weyl groups
|
| gptkbp:isFinite |
true
|
| gptkbp:isGeneratedBy |
affine reflections
|
| gptkbp:isQuotientOf |
finite Weyl group
|
| gptkbp:order |
infinite
|
| gptkbp:originatedIn |
gptkb:affine_root_system
|
| gptkbp:presentedBy |
Coxeter presentation
|
| gptkbp:relatedTo |
gptkb:Kac–Moody_algebra
finite Weyl group |
| gptkbp:studiedBy |
gptkb:Victor_Kac
gptkb:Bertram_Kostant |
| gptkbp:subclassOf |
gptkb:Weyl_group
|
| gptkbp:type |
gptkb:affine_root_system
|
| gptkbp:usedIn |
gptkb:Lie_theory
gptkb:algebraic_geometry representation theory |
| gptkbp:bfsParent |
gptkb:Coxeter_groups
|
| gptkbp:bfsLayer |
7
|