Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unitary representations of Hecke algebras of complex reflection groups   We begin the study of unitary representations of Hecke algebras of complex
reflections groups. We obtain a complete classification for the Hecke algebra
of the symmetric group $\mathfrak{S}_n$ over the complex numbers.
Interestingly, the unitary representations in the category $\OO$ for the
rational Cherednik algebra of type A studied in \cite{ESG} correspond to the
unitary representations of the corresponding Hecke algebra via the KZ functor
defined in \cite{GGOR}.

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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: acc-phys