Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A non-commutative topology on rep A   We extend the Zariski topology on simp A, the finite dimensional simple
A-representations, to a non-commutative topology (in the sense of Fred Van
Oystaeyen) on rep A, all finite dimensional A-representations, using
Jordan-Holder filtrations. The non-commutativity of the topology is enforced by
the order of the composition factors.

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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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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: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con