Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linearity of graph products   In this work we prove that, given a simplicial graph $\Gamma$ and a family
$\mathcal{G}$ of linear groups over a domain $R$, the graph product
$\Gamma\mathcal{G}$ is linear over $R[\underline t]$, where $\underline t$ is a
tuple of finitely many linearly independent variables. As a consequence we
obtain that any graph product of finitely many groups linear over the complex
numbers is again a linear group over the complex numbers. This solves an open
problem of Hsu and Wise in the case of faithful representations over $\mathbb
C$.

11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph