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math.RT2012★ 1 cited
The Auslander-Reiten Components in the Rhombic Picture
Markus Schmidmeier, Helene R. Tyler
For an indecomposable module over a path algebra of a quiver of type , the Gabriel-Roiter measure gives rise to four new numerical invariants; we call…
math.RT2006★ 3 cited
Sequences of reflection functors and the preprojective component of a valued quiver
Mark Kleiner, Helene R. Tyler
This paper concerns preprojective representations of a finite connected valued quiver without oriented cycles. For each such representation, an explicit formula in terms of the geo…