Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dual Lie Bialgebras of Witt and Virasoro Types   Structures of dual Lie bialgebras on the one sided Witt algebra, the Witt
algebra and the Virasoro algebra are investigated. As a result, we obtain some
infinite dimensional Lie algebras.

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The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat