|
gptkbp:instanceOf
|
gptkb:Weyl_group
gptkb:group_of_people
|
|
gptkbp:actsOn
|
gptkb:Euclidean_space
|
|
gptkbp:application
|
gptkb:Lie_theory
crystallography
algebraic combinatorics
tiling theory
|
|
gptkbp:class
|
classified by affine Dynkin diagrams
|
|
gptkbp:containsElement
|
translator
affine reflection
|
|
gptkbp:definedIn
|
affine reflections
|
|
gptkbp:field
|
gptkb:geometry
gptkb:mathematics
group theory
|
|
gptkbp:generalizes
|
gptkb:finite_Coxeter_group
|
|
gptkbp:hasDiagramType
|
gptkb:affine_Coxeter_diagram
|
|
gptkbp:hasProperty
|
generated by reflections
infinite order
|
|
gptkbp:hasType
|
gptkb:irreducible_affine_Coxeter_group
gptkb:reducible_affine_Coxeter_group
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
affine Coxeter group
|
|
gptkbp:notation
|
~A_n, ~B_n, ~C_n, ~D_n, etc.
|
|
gptkbp:order
|
infinite
|
|
gptkbp:presentedBy
|
Coxeter presentation
|
|
gptkbp:relatedTo
|
gptkb:symmetry
gptkb:finite_Coxeter_group
gptkb:Kac–Moody_algebra
gptkb:affine_Weyl_group
|
|
gptkbp:studiedBy
|
gptkb:H.S.M._Coxeter
|
|
gptkbp:subclassOf
|
gptkb:Weyl_group
|
|
gptkbp:type
|
gptkb:affine_root_system
|
|
gptkbp:bfsParent
|
gptkb:Weyl_group
|
|
gptkbp:bfsLayer
|
5
|