Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Simple Proof of Sklyanin's Formula for Canonical Spectral Coordinates
  of the Rational Calogero-Moser System   We use Hamiltonian reduction to simplify Falqui and Mencattini's recent proof
of Sklyanin's expression providing spectral Darboux coordinates of the rational
Calogero-Moser system. This viewpoint enables us to verify a conjecture of
Falqui and Mencattini, and to obtain Sklyanin's formula as a corollary.

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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th