Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Planar System and $w_\infty$ Algebra   We study the exotic particles symmetry in the background of noncommutative
two-dimensional phase-space leading to realize in physicswise the deformed
version of $C_{\lambda}$-extended Heisenberg algebra and $\om_\infty$ symmetry.

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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: math
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The categories of this paper are: nlin
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ