Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On non-admissible irreducible modulo $p$ representations of
  $GL_{2}(\mathbb{Q}_{p^{2}})$   We use a Diamond diagram attached to a $2$-dimensional reducible split mod
$p$ Galois representation of
$\mathrm{Gal}(\overline{\mathbb{Q}_{p}}/\mathbb{Q}_{p^{2}})$ to construct a
non-admissible smooth irreducible mod $p$ representation of
$GL_{2}(\mathbb{Q}_{p^{2}})$ following the approach of Daniel Le.

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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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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: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin