Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Yangian Deformation of the W-Algebras and and the
  Calogero-Sutherland model   The Yangian symmetry Y(su($n$)) of the Calogero-Sutherland-Moser spin model
is reconsidered. The Yangian generators are constructed from two non-commuting
su($n$)-loop algebras. The latters generate an infinite dimensional symmetry
algebra which is a deformation of the $W_\infty$-algebra. We show that this
deformed $W_\infty$-algebra contains an infinite number of Yangian subalgebras
with different deformation parameters.

27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat