Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple weight modules with finite weight multiplicities over the Lie
  algebra of polynomial vector fields   Let ${\mathcal W}_n$ be the Lie algebra of polynomial vector fields. We
classify simple weight ${\mathcal W}_n$-modules $M$ with finite weight
multiplicities. We prove that every such nontrivial module $M$ is either a
tensor module or the unique simple submodule in a tensor module associated with
the de Rham complex on $\mathbb C^n$.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
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The categories of this paper are: eess
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol