Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On plethysm conjectures of Stanley and Foulkes: the $2 \times n$ case   We prove Stanley's plethysm conjecture for the $2 \times n$ case, which
composed with the work of Black and List provides another proof of Foulkes
conjecture for the $2 \times n$ case. We also show that the way Stanley
formulated his conjecture, it is false in general, and suggest an alternative
formulation.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: stat
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc