Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of irreducible weight modules over higher rank Virasoro
  algebras   Let $G$ be a rank $n$ additive subgroup of $\bC$ and $\Vir[G]$ the
corresponding Virasoro algebra of rank $n$. In the present paper, irreducible
weight modules with finite dimensional weight spaces over $\Vir[G]$ are
completely determined. There are two different classes of them. One class
consists of simple modules of intermediate series whose weight spaces are all
1-dimensional. The other is constructed by using intermediate series modules
over a Virasoro subalgebra of rank $n-1$. The classification of such modules
over the classical Virasoro algebra was obtained by O. Mathieu in 1992 using a
completely different approach.

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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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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: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin