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On the Canonical Decomposition of Quiver Representations
Authors:Harm Derksen  Jerzy Weyman
Affiliation:(1) Department of Mathematics, University of Michigan, 525 E University, Ann Arbor, MI, 48109–1109, U.S.A;(2) Department of Mathematics, Northeastern University, 360 Huntington Avenue, Boston, MA, 02115, U.S.A
Abstract:Kac introduced the notion of the canonical decomposition for a dimension vector of a quiver. Here we will give an efficient algorithm to compute the canonical decomposition. Our study of the canonical decomposition for quivers with three vertices gives us fractal-like pictures.
Keywords:quiver representations  canonical decomposition
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