Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matching polytopes and Specht modules   We prove that the dimension of the Specht module of a forest $G$ is the same
as the normalized volume of the matching polytope of $G$. We also associate to
$G$ a symmetric function $s_G$ (analogous to the Schur symmetric function
$s_\lambda$ for a partition $\lambda$) and investigate its combinatorial and
representation-theoretic properties in relation to the Specht module and Schur
module of $G$. We then use this to define notions of standard and semistandard
tableaux for forests.

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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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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: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin