(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.