Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of the Quantum Toroidal Algebra on highest weight
  modules of the Quantum Affine Algebra of type gl(N)   A representation of the Quantum Toroidal Algebra of type sl(N) is constructed
on every irreducible integrable highest weight module of the Quantum Affine
Algebra of type gl(N). As an intermediate step in the construction, we obtain a
quantum analogue of the classical level-rank duality, describing the reciprocal
decomposition of the q-Fock space with respect to mutually commutative actions
of U_q(gl(N)^) of level L, and U_q(sl(L)^) of level N.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat