Hostname: page-component-cd9895bd7-jn8rn Total loading time: 0 Render date: 2024-12-25T04:39:56.719Z Has data issue: false hasContentIssue false

On the Canonical Decomposition of Quiver Representations

Published online by Cambridge University Press:  04 December 2007

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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Research Article
Copyright
© 2002 Kluwer Academic Publishers