Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite W-algebras   A finite W-algebra is an associative algebra constructed from a semisimple
Lie algebra and its nilpotent element. In this survey we review recent
developments in the representation theory of W-algebras. We emphasize various
interactions between W-algebras and universal enveloping algebras.

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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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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: gr-qc
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The categories of this paper are: physics
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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: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th