Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smooth Lie groups over local fields of positive characteristic need not
  be analytic   We describe finite-dimensional smooth Lie groups over local fields of
positive characteristic which do not admit an analytic Lie group structure
compatible with the given topological group structure, and C^n-Lie groups
without a compatible C^{n+1}-Lie group structure, for each positive integer n.
We also present examples of non-analytic, smooth automorphisms of Lie groups
over such fields, as well as C^n-automorphisms which fail to be C^{n+1}.

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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an