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On the Canonical Decomposition of Quiver Representations

Published online by Cambridge University Press:  04 December 2007

Harm Derksen  and
Jerzy Weyman
Harm Derksen
Affiliation:
Department of Mathematics, University of Michigan, 525 E University, Ann Arbor, MI 48109–1109, U.S.A.
Jerzy Weyman
Affiliation:
Department of Mathematics, Northeastern University, 360 Huntington Avenue, Boston, MA 02115, U.S.A.
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Abstract

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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 representationscanonical decomposition
Type
Research Article
Information
Compositio Mathematica , Volume 133 , Issue 3 , September 2002 , pp. 245 - 265
Copyright
© 2002 Kluwer Academic Publishers