Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correspondence between Calogero-Moser systems and integrable
  SL(N,$\mathbb{C}$) Euler-Arnold tops   The equivalence between the N-particle Calogero-Moser systems and the
integrable sl(N,$\mathbb{C}$)-tops is shown. New rational and trigonometric
classical Lax operators for these systems are found. Relations with new
solutions of the classical Yang-Baxter equations for sl(N,$\mathbb{C}$) are
discussed. Explicit formulae for N=2,3,4 are presented.

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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
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The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom