Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasifinite highest weight modules over the Lie algebra of differential
  operators on the circle   We classify positive energy representations with finite degeneracies of the
Lie algebra $W_{1+\infty}\/$ and construct them in terms of representation
theory of the Lie algebra $\hatgl ( \infty R_m )\/$ of infinite matrices with
finite number of non-zero diagonals over the algebra $R_m = \C [ t ] / ( t^{m +
1} )\/$. The unitary ones are classified as well. Similar results are obtained
for the sin-algebras.

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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: ao-sci