Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of quasifinite $W_\infty$-modules   It is proved that an irreducible quasifinite $W_\infty$-module is a highest
or lowest weight module or a module of the intermediate series; a uniformly
bounded indecomposable weight $W_\infty$-module is a module of the intermediate
series. For a nondegenerate additive subgroup $G$ of $F^n$, where $F$ is a
field of characteristic zero, there is a simple Lie or associative algebra
$W(G,n)^{(1)}$ spanned by differential operators $uD_1^{m_1}... D_n^{m_n}$ for
$u\in F[G]$ (the group algebra), and $m_i\ge0$ with $\sum_{i=1}^n m_i\ge1$,
where $D_i$ are degree operators. It is also proved that an indecomposable
quasifinite weight $W(G,n)^{(1)}$-module is a module of the intermediate series
if $G$ is not isomorphic to $Z$.

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The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg