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2021/99/3-4 (12) — DOI: 10.5486/PMD.2021.9040 — pp. 473-484

Properness of moment maps for representations of quivers

Authors: Pradeep Das

Abstract:

We show that the moment map for the representations of a quiver is proper if and only if the quiver is acyclic, that is, it does not contain any oriented cycle.

Keywords: quiver representations, proper moment maps

Mathematics Subject Classification: 16G20, 53D20