Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kirillov theory, Treves strata, Schrodinger equations and analytic
  hypoellipticity of sums of squares   We attach representations to non-symplectic stratum in the characteristic set
of real vector fields. This leads to Schrodinger operators. The analysis of the
solutions of these Schrodinger equations allows us to construct smooth,
non-analytic solutions of the sub-elliptic operator formed by taking sums of
squares of the real vector fields.

18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
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The categories of this paper are: math-ph