Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Shimura-Waldspurger correspondence for $\mathrm{Mp}_{2n}$   We generalize the Shimura-Waldspurger correspondence, which describes the
generic part of the automorphic discrete spectrum of the metaplectic group
$\mathrm{Mp}_2$, to the metaplectic group $\mathrm{Mp}_{2n}$ of higher rank. To
establish this, we transport Arthur's endoscopic classification of
representations of the odd special orthogonal group $\mathrm{SO}_{2r+1}$ with
$r \gg 2n$ by using a result of J. S. Li on global theta lifts in the stable
range.

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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: cs