Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bosonic representations of Yangian Double $\cD Y_{\hbar}(\gtg)$ with
  $\gtg=\gtgl_N,\gtsl_N$   On the basis of `$RTT=TTR$' formalism, we introduce the quantum double of the
Yangian $Y_{\hbar}(\gtg)$ for $\gtg=\gtgl_N,\gtsl_N$ with a central extension.
The Gauss decomposition of T-matrices gives us the so-called Drinfel'd
generators. Using these generators, we present some examples of both finite and
infinite dimensional representations that are quite natural deformations of the
corresponding affine counterpart.

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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th