Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properness of moment maps for representations of quivers   In this note, we give a necessary and sufficient condition for the properness
of moment maps for representations of quivers. 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.

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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga