Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rigid reflections and Kac--Moody algebras   Given any Coxeter group, we define rigid reflections and rigid roots using
non-self-intersecting curves on a Riemann surface with labeled curves. When the
Coxeter group arises from an acyclic quiver, they are related to the rigid
representations of the quiver. For a family of rank 3 Coxeter groups, we show
that there is a surjective map from the set of reduced positive roots of a rank
2 Kac--Moody algebra onto the set of rigid reflections. We conjecture that this
map is bijective.

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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: physics