Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double Descent in Classical Groups   Let ${\bf A}$ be the ring of adeles of a number field $F$. Given a self-dual
irreducible, automorphic, cuspidal representation $\tau$ of $\GL_n(\BA)$, with
trivial central characters, we construct its full inverse image under the weak
Langlands functorial lift from the appropriate split classical group $G$. We do
this by a new automorphic descent method, namely the double descent. This
method is derived from the recent generalized doubling integrals of Cai,
Friedberg, Ginzburg and Kaplan \cite{CFGK17}, which represent the standard
$L$-functions for $G\times \GL_n$. Our results are valid also for double covers
of symplectic groups.

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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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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: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: solv-int