|
gptkbp:instanceOf
|
gptkb:Weyl_group
gptkb:group_of_people
|
|
gptkbp:actsOn
|
gptkb:Euclidean_space
|
|
gptkbp:class
|
gptkb:Coxeter_matrix
gptkb:Coxeter–Dynkin_diagram
|
|
gptkbp:generation
|
reflections
|
|
gptkbp:hasApplication
|
gptkb:algebraic_geometry
gptkb:theory_of_regular_polytopes
crystallography
physics
combinatorics
|
|
gptkbp:hasProperty
|
gptkb:Weyl_group
gptkb:Coxeter_element
gptkb:Coxeter_number
generated by involutions
presentation by relations
Coxeter relations
finite number of elements
finite order
irreducible types classified
reflection length
root system associated
|
|
gptkbp:hasSubgroup
|
orthogonal group
|
|
gptkbp:hasType
|
gptkb:E_6
gptkb:E_7
gptkb:E_8
gptkb:H_4
A_n
B_n
D_n
F_4
H_3
I_2(n)
|
|
https://www.w3.org/2000/01/rdf-schema#label
|
finite Coxeter group
|
|
gptkbp:includes
|
gptkb:Weyl_group
gptkb:group_of_people
gptkb:exceptional_Coxeter_group
dihedral group
hyperoctahedral group
|
|
gptkbp:namedAfter
|
gptkb:H.S.M._Coxeter
|
|
gptkbp:order
|
finite
|
|
gptkbp:relatedTo
|
gptkb:Lie_group
gptkb:root
gptkb:crystallographic_group
regular polytope
|
|
gptkbp:studiedIn
|
gptkb:geometry
group theory
|
|
gptkbp:bfsParent
|
gptkb:Weyl_group
|
|
gptkbp:bfsLayer
|
5
|