A labeled graph whose nodes are indexed by the generators of a Coxeter group having 
as an graph edge labeled
by 
whenever 
,
where 
is an element of the Coxeter matrix. Coxeter-Dynkin
diagrams are used to visualize Coxeter groups. A
Coxeter-Dynkin diagram is associated with each rational
double point (Fischer 1986), and a Coxeter diagram is sufficient to characterize
the algebra of the group.
Coxeter-Dynkin Diagram
See also
Coxeter Group, Dynkin Diagram, Rational Double PointExplore with Wolfram|Alpha
References
Arnold, V. I. "Critical Points of Smooth Functions." Proc. Int. Congr. Math. 1, 19-39, 1974.Buekenhout, F. and Parker, M. "The Number of Nets of the Regular Convex Polytopes in Dimension
."
Disc. Math. 186, 69-94, 1998.Fischer, G. (Ed.). Mathematische
Modelle aus den Sammlungen von Universitäten und Museen, Kommentarband.
Braunschweig, Germany: Vieweg, pp. 12-13, 1986.Referenced on Wolfram|Alpha
Coxeter-Dynkin DiagramCite this as:
Weisstein, Eric W. "Coxeter-Dynkin Diagram." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Coxeter-DynkinDiagram.html