Coxeter Number

For a finite irreducible Coxeter group, i.e., one whose Coxeter-Dynkin diagram is connected, the Coxeter number is the common order of its Coxeter elements. It is often denoted h.

See also

Coxeter-Dynkin Diagram, Coxeter Element, Coxeter Group, Coxeter Plane

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References

Humphreys, J. E. Reflection Groups and Coxeter Groups. Cambridge, England: Cambridge University Press, 1990.

Cite this as:

Weisstein, Eric W. "Coxeter Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CoxeterNumber.html

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