Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A factorization theorem for classical group characters, with
  applications to plane partitions and rhombus tilings   We prove that a Schur function of rectangular shape $(M^n)$ whose variables
are specialized to $x_1,x_1^{-1},...,x_n,x_n^{-1}$ factorizes into a product of
two odd orthogonal characters of rectangular shape, one of which is evaluated
at $-x_1,...,-x_n$, if $M$ is even, while it factorizes into a product of a
symplectic character and an even orthogonal character, both of rectangular
shape, if $M$ is odd. It is furthermore shown that the first factorization
implies a factorization theorem for rhombus tilings of a hexagon, which has an
equivalent formulation in terms of plane partitions. A similar factorization
theorem is proven for the sum of two Schur functions of respective rectangular
shapes $(M^n)$ and $(M^{n-1})$.

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The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
17
The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess