Coxeter–Dynkin diagram

GPTKB entity

Statements (38)
Predicate Object
gptkbp:instanceOf mathematical diagram
gptkbp:appliesTo gptkb:semisimple_Lie_algebras
gptkb:crystallographic_groups
gptkb:affine_Coxeter_groups
gptkb:finite_Coxeter_groups
gptkb:hyperbolic_Coxeter_groups
simple Lie algebras
regular polytopes
regular tessellations
gptkbp:category gptkb:mathematical_concept
graph theory
algebraic structures
gptkbp:component classification of regular polytopes
classification of simple Lie algebras
classification of finite reflection groups
gptkbp:describes gptkb:Weyl_group
gptkb:Lie_group
gptkb:root
gptkbp:firstDescribed 1930s
https://www.w3.org/2000/01/rdf-schema#label Coxeter–Dynkin diagram
gptkbp:namedAfter gptkb:H._S._M._Coxeter
gptkb:Eugene_Dynkin
gptkbp:notation branching nodes
dotted edges
labeled edges
multiple edges
nodes and edges
gptkbp:publishedIn gptkb:Mathematical_Proceedings_of_the_Cambridge_Philosophical_Society
gptkbp:relatedTo gptkb:Weyl_group
gptkb:root
gptkbp:usedIn gptkb:algebraic_geometry
gptkb:geometry
gptkb:Lie_group
group theory
gptkbp:visualizes angles between mirrors
relations between generating reflections
gptkbp:bfsParent gptkb:Weyl_group
gptkbp:bfsLayer 5