|
gptkbp:instanceOf
|
gptkb:group_of_people
|
|
gptkbp:actsOn
|
gptkb:root
reflections
|
|
gptkbp:class
|
classified by Dynkin diagrams
|
|
gptkbp:example
|
gptkb:group_of_people
dihedral group
hyperoctahedral group
|
|
gptkbp:field
|
gptkb:Lie_theory
gptkb:algebra
gptkb:mathematics
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
Weyl groups
|
|
gptkbp:isFinite
|
true
|
|
gptkbp:namedAfter
|
gptkb:Hermann_Weyl
|
|
gptkbp:order
|
finite
|
|
gptkbp:originatedIn
|
semisimple Lie algebra
reductive algebraic group
|
|
gptkbp:relatedTo
|
gptkb:Weyl_character_formula
gptkb:Weyl_group
gptkb:Langlands_program
gptkb:Schubert_calculus
gptkb:Lie_group
gptkb:root
gptkb:Hecke_algebra
gptkb:Macdonald_polynomials
gptkb:Bruhat_decomposition
gptkb:Chevalley_basis
gptkb:Kac–Moody_algebra
gptkb:Tits_group
gptkb:affine_Weyl_group
gptkb:crystallographic_group
symmetric functions
flag variety
Borel subgroup
weight lattice
quantum group
Kazhdan–Lusztig polynomial
Coxeter system
Weyl chamber
|
|
gptkbp:structure
|
gptkb:Weyl_group
|
|
gptkbp:usedIn
|
gptkb:algebraic_geometry
representation theory
theory of Lie groups
algebraic groups
|
|
gptkbp:bfsParent
|
gptkb:Coxeter–Dynkin_diagrams
gptkb:finite_reflection_groups
|
|
gptkbp:bfsLayer
|
6
|