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Compositio Mathematica
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Compositio Mathematica
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On the Canonical Decomposition of Quiver Representations

On the canonical decomposition of quiver representations
descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2002 United States English Publisher:WileyJournal:Compositio Mathematica, volume 133, pages 245-265 (issn: 0010-437X, eissn: 1570-5846, Copyright policy )
Authors: Derksen, Harm; Weyman, Jerzy;

doi: 10.1023/a:1020007100426

handle: 2027.42/42607

On the Canonical Decomposition of Quiver Representations

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.

Country
United States
Related Organizations
Keywords

Science, quiver representations, Schur roots, Quiver Representations, canonical decompositions, algorithms, Canonical Decomposition, Representations of quivers and partially ordered sets, General, Euler forms, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
34
Top 10%
Top 1%
Average