Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note On Nilpotent Representations   Let $\Gamma$ be a finitely generated nilpotent group and let G be a complex
reductive algebraic group. The representation variety $\mathrm{Hom}(\Gamma,G)$
and the character variety $\mathrm{Hom}(\Gamma,G)//G$ each carry a natural
topology, and we describe the topology of their connected components in terms
of representations factoring through quotients of $\Gamma$ by elements of its
lower central series.

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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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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: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga