Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The classification of irreducible admissible mod p representations of a
  p-adic GL_n   Let F be a finite extension of Q_p. Using the mod p Satake transform, we
define what it means for an irreducible admissible smooth representation of an
F-split p-adic reductive group over \bar F_p to be supersingular. We then give
the classification of irreducible admissible smooth GL_n(F)-representations
over \bar F_p in terms of supersingular representations. As a consequence we
deduce that supersingular is the same as supercuspidal. These results
generalise the work of Barthel-Livne for n = 2. For general split reductive
groups we obtain similar results under stronger hypotheses.

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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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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: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin