Auslander–Reiten Quivers and the Coxeter Complex

Author： Zelikson Shmuel  

Publisher： Springer Publishing Company

ISSN： 1386-923X

Source： Algebras and Representation Theory, Vol.8, Iss.1, 2005-03, pp. : 35-55

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Abstract

Let Q be a quiver of type ADE. We construct the corresponding Auslander–Reiten quiver as a topological complex inside the Coxeter complex associated with the underlying Dynkin diagram. In An case, we recover special wiring diagrams.

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