Coxeter-Dynkin Diagram

A labeled graph whose nodes are indexed by the generators of a Coxeter Group having $(P_i, P_j)$ as an Edge labeled by $M_{ij}$ whenever $M_{ij}>2$, where $M_{ij}$ 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).

See also Coxeter Group, Dynkin Diagram, Rational Double Point

References

Arnold, V. I. ``Critical Points of Smooth Functions.'' Proc. Int. Congr. Math. 1, 19-39, 1974.

Fischer, G. (Ed.). Mathematical Models from the Collections of Universities and Museums. Braunschweig, Germany: Vieweg, pp. 12-13, 1986.