Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Centres II: Finite Classical Groups   Farahat and Higman constructed an algebra $\mathrm{FH}$ interpolating the
centres of symmetric group algebras $Z(\mathbb{Z}S_n)$ by proving that the
structure constants in these rings are "polynomial in $n$". Inspired by a
construction of $\mathrm{FH}$ due to Ivanov and Kerov, we prove for $G_n =
GL_n, U_n, Sp_{2n}, O_n$, that the structure constants of
$Z(\mathbb{Z}G_n(\mathbb{F}_q))$ are "polynomial in $q^n$", allowing us to
construct an equivalent of the Farahat-Higman algebra in each case.

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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas