Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Arithmetic Representation Growth of Virtually Free Groups   We adapt methods from quiver representation theory and Hall algebra
techniques to the counting of representations of virtually free groups over
finite fields. This gives rise to the computation of the E-polynomials of
$\mathbf{GL}_d(\mathbb{C})$-character varieties of virtually free groups. As
examples we discuss the representation theory of $\mathbb{D}_\infty$ ,
$\mathbf{PSL}_2(\mathbb{Z})$ , $\mathbf{SL}_2(\mathbb{Z})$ ,
$\mathbf{GL}_2(\mathbb{Z})$ and $\mathbf{PGL}_2(\mathbb{Z})$ .

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The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas