Statements (31)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:Euclidean_space
|
| gptkbp:application |
gptkb:Lie_theory
gptkb:algebraic_geometry crystallography combinatorics |
| gptkbp:class |
gptkb:list
gptkb:state_order gptkb:Coxeter_matrix gptkb:Coxeter–Dynkin_diagram |
| gptkbp:generation |
reflections
|
| gptkbp:heldBy |
finite number of elements
|
| https://www.w3.org/2000/01/rdf-schema#label |
finite Coxeter groups
|
| gptkbp:include |
gptkb:group_of_people
dihedral group hyperoctahedral group exceptional groups (E6, E7, E8, F4, H3, H4, I2(n)) |
| gptkbp:isFinite |
true
|
| gptkbp:namedAfter |
gptkb:H._S._M._Coxeter
|
| gptkbp:notation |
An, Bn, Dn, E6, E7, E8, F4, H3, H4, I2(n)
|
| gptkbp:relatedTo |
gptkb:Weyl_group
gptkb:root finite reflection group regular polytopes reflection symmetry |
| gptkbp:studiedIn |
gptkb:geometry
group theory |
| gptkbp:subclassOf |
gptkb:Weyl_group
|
| gptkbp:bfsParent |
gptkb:Coxeter–Dynkin_diagram
gptkb:finite_reflection_groups |
| gptkbp:bfsLayer |
6
|