Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comultiplication in ABCD algebra and scalar products of Bethe wave
  functions   The representation of scalar products of Bethe wave functions in terms of the
Dual Fields, proven by A.G.Izergin and V.E.Korepin in 1987, plays an important
role in the theory of completely integrable models. The proof in
\cite{Izergin87} and \cite{Korepin87} is based on the explicit expression for
the "senior" coefficient which was guessed in \cite{Izergin87} and then proven
to satisfy some recurrent relations, which determine it unambiguously. In this
paper we present an alternative proof based on the direct computation.

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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys