Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Types for tame p-adic groups   Let k be a non-archimedean local field with residual characteristic p. Let G
be a connected reductive group over k that splits over a tamely ramified field
extension of k. Suppose p does not divide the order of the Weyl group of G.
Then we show that every smooth irreducible complex representation of G(k)
contains an $\mathfrak{s}$-type of the form constructed by Kim and Yu and that
every irreducible supercuspidal representation arises from Yu's construction.
  This improves an earlier result of Kim, which held only in characteristic
zero and with a very large and ineffective bound on p. By contrast, our bound
on p is explicit and tight, and our result holds in positive characteristic as
well. Moreover, our approach is more explicit in extracting an input for Yu's
construction from a given representation.

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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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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: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: cs